Digital SAT Flashcards: Math, Grammar & Words in Context

Practice Digital SAT math formulas, grammar rules, transitions, and words in context with original, installable flashcards built for active recall.

Apie šį rinkinį

Digital SAT Flashcards: Math, Grammar & Words in Context

Practice the recall-worthy foundations behind all eight current SAT content domains: math formulas and setup cues, grammar and punctuation rules, transition logic, rhetorical choices, evidence checks, and high-utility words used in original sentence contexts. The 300 cards are ready to install and review offline.

What the cards practice

The deck maps short rule or task cues to a rule, distinction, formula, or setup. Original sentence contexts map to tested word meanings and grammar decisions. Original transition microcontexts name each transition and ask for the relationship it signals. Selected representation-to-interpretation prompts cover ideas such as slope as a rate of change and a residual as actual minus predicted. A few reverse prompts are included when recall in both directions prevents a common setup error.

What is deliberately left out

This is not a bank of SAT questions. It leaves out full passages, timed-test simulation, answer-choice elimination drills, copied questions, answer keys, mark schemes, official diagrams, arbitrary vocabulary lists, formula-symbol permutations, and automatic reversal of every fact. Use College Board's official practice for full reasoning, timing, and the adaptive test experience.

Coverage and learning order

Reading and Writing covers Information and Ideas, Craft and Structure, Expression of Ideas, and Standard English Conventions. Math covers Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. The 15 transition microcontexts stay in their fixed Expression of Ideas slots. Prerequisites appear before dependent ideas inside each topic. Related variants are separated by unrelated cards, while long-term spacing and interleaving stay with the review scheduler.

Scope, provenance, and reuse

The current College Board assessment framework and content-domain pages were used only as a scope and fact-check map. The prompts, answers, microcontexts, examples, selection, organization, sequence, metadata, and generated cover are independently written. Public pages from three current study tools were reviewed only to compare learner expectations; no competitor cards or examples were copied.

The Common knowledge · CC0 1.0 label applies to the original wording, examples, organization, metadata, and generated cover to the extent applicable rights exist. It does not claim ownership of mathematical facts, grammar rules, SAT domain names, College Board names, or third-party source material.

Source review date: September 1, 2026.

This deck is independent and unofficial. It is not affiliated with, endorsed by, or approved by College Board. No exam questions, mark schemes, or official specifications text were copied; see College Board's official SAT content requirements.

Šio rinkinio kortelės

  1. 1 kortelė

    Klausimas

    Central idea of a passage?

    Atsakymas

    The passage's main claim or controlling point. It should cover the whole passage, not one striking detail.

  2. 2 kortelė

    Klausimas

    The shade trees mitigated the midday heat. Meaning of “mitigated”?

    Atsakymas

    Reduced. The trees made the heat less severe.

  3. 3 kortelė

    Klausimas

    The first plan was affordable. However, it took twice as long. What relationship does “However” signal?

    Atsakymas

    Contrast. The second statement differs from or qualifies the first.

  4. 4 kortelė

    Klausimas

    Three standard joins for two independent clauses?

    Atsakymas

    A period, a semicolon, or a comma plus a coordinating conjunction. Each side must be a complete sentence.

  5. 5 kortelė

    Klausimas

    Best supporting detail?

    Atsakymas

    The detail that most directly proves the claim. Relevance matters more than how vivid or surprising it is.

  6. 6 kortelė

    Klausimas

    A second archive corroborated the diary's date. Meaning of “corroborated”?

    Atsakymas

    Confirmed with supporting evidence.

  7. 7 kortelė

    Klausimas

    Every member of set A is even. Nine is odd; therefore, nine is not in set A. What relationship does “therefore” signal?

    Atsakymas

    Conclusion from a reason. The final statement follows logically from the stated premises.

  8. 8 kortelė

    Klausimas

    Introductory dependent clause before a main clause?

    Atsakymas

    Use a comma after the dependent clause. Example: “Although rain fell, the match continued.”

  9. 9 kortelė

    Klausimas

    Valid inference?

    Atsakymas

    A conclusion that must follow, or that most reasonably follows, from the stated evidence. Avoid assumptions the text never supports.

  10. 10 kortelė

    Klausimas

    The team called its result tentative until replication. Meaning of “tentative”?

    Atsakymas

    Provisional or not yet certain.

  11. 11 kortelė

    Klausimas

    Several materials block sound. For example, thick felt absorbs echoes. What relationship does “For example” signal?

    Atsakymas

    Illustration. The second statement gives a specific case of the broader point.

  12. 12 kortelė

    Klausimas

    Singular subject with an intervening prepositional phrase?

    Atsakymas

    Use a singular verb. Example: “The box of samples is sealed.” The phrase “of samples” does not change the subject.

  13. 13 kortelė

    Klausimas

    Strongest textual evidence?

    Atsakymas

    The quotation or detail that most directly supports the target claim, with the fewest extra assumptions.

  14. 14 kortelė

    Klausimas

    The error had a negligible effect on the total. Meaning of “negligible”?

    Atsakymas

    So small that it is not important.

  15. 15 kortelė

    Klausimas

    The first route avoids steep hills. Similarly, the second stays nearly level. What relationship does “Similarly” signal?

    Atsakymas

    Similarity. The second statement matches the first in a relevant way.

  16. 16 kortelė

    Klausimas

    Opening modifier placement?

    Atsakymas

    Place the noun being modified immediately after the opening phrase. Example: “Walking home, Lena noticed the mural.”

  17. 17 kortelė

    Klausimas

    Quantitative evidence for a claim?

    Atsakymas

    Use the value, comparison, or trend that directly tests the claim, including the correct units and baseline.

  18. 18 kortelė

    Klausimas

    The lab used a conventional method before testing a new one. Meaning of “conventional”?

    Atsakymas

    Traditional or commonly accepted.

  19. 19 kortelė

    Klausimas

    Mira checked the figures. Meanwhile, Omar revised the caption. What relationship does “Meanwhile” signal?

    Atsakymas

    Simultaneous events. The second event happens at the same time as the first.

  20. 20 kortelė

    Klausimas

    Singular possessive noun?

    Atsakymas

    Usually add apostrophe + s. Example: “the scientist's notebook.”

  21. 21 kortelė

    Klausimas

    Trend in a table or graph?

    Atsakymas

    State what changes, in which direction, and across which interval. Do not turn a pattern into a cause without evidence.

  22. 22 kortelė

    Klausimas

    The essay offered a novel explanation for the pattern. Meaning of “novel”?

    Atsakymas

    New or original in this context.

  23. 23 kortelė

    Klausimas

    The device was old. Nevertheless, it performed reliably. What relationship does “Nevertheless” signal?

    Atsakymas

    Concession. The second statement remains true despite the limitation in the first.

  24. 24 kortelė

    Klausimas

    Parallel items in a series?

    Atsakymas

    Use the same grammatical form for each item. Example: “to collect, analyze, and report data.”

  25. 25 kortelė

    Klausimas

    Claim stronger than the evidence?

    Atsakymas

    Qualify the claim. Limited evidence can support “may” or “suggests,” not an absolute conclusion.

  26. 26 kortelė

    Klausimas

    Her account is plausible because it matches the records. Meaning of “plausible”?

    Atsakymas

    Reasonable or believable.

  27. 27 kortelė

    Klausimas

    The plan cuts costs. Moreover, it shortens delivery time. What relationship does “Moreover” signal?

    Atsakymas

    Addition. The second statement adds a related supporting point.

  28. 28 kortelė

    Klausimas

    Colon before an explanation or list?

    Atsakymas

    Use it only after a complete independent clause. Example: “The kit needs three items: tape, gloves, and labels.”

  29. 29 kortelė

    Klausimas

    Claim versus evidence?

    Atsakymas

    A claim is the point being argued; evidence is the information used to support it.

  30. 30 kortelė

    Klausimas

    The memo's ambiguous wording allowed two readings. Meaning of “ambiguous”?

    Atsakymas

    Open to more than one interpretation.

  31. 31 kortelė

    Klausimas

    The team didn't replace the sensor. Instead, it recalibrated the existing one. What relationship does “Instead” signal?

    Atsakymas

    Replacement. The second statement substitutes one action for another.

  32. 32 kortelė

    Klausimas

    Count nouns versus mass nouns?

    Atsakymas

    Use “fewer” with countable items and “less” with amounts. Example: fewer errors, less noise.

  33. 33 kortelė

    Klausimas

    Effect of a counterexample?

    Atsakymas

    It weakens a universal claim by showing at least one case where the claim fails.

  34. 34 kortelė

    Klausimas

    Rainfall was sporadic: brief showers interrupted long dry periods. Meaning of “sporadic”?

    Atsakymas

    Irregular and occasional.

  35. 35 kortelė

    Klausimas

    The seedlings grew indoors. Subsequently, workers moved them outside. What relationship does “Subsequently” signal?

    Atsakymas

    Later step in a sequence. The second event occurs after the first.

  36. 36 kortelė

    Klausimas

    Essential clause punctuation?

    Atsakymas

    Do not surround an essential clause with commas. It identifies which person or thing the sentence means.

  37. 37 kortelė

    Klausimas

    Correlation alone proves causation?

    Atsakymas

    No. A relationship between variables does not by itself show that one caused the other.

  38. 38 kortelė

    Klausimas

    Subsequent trials produced the same result. Meaning of “subsequent”?

    Atsakymas

    Coming later in time.

  39. 39 kortelė

    Klausimas

    The coating is hydrophobic. In other words, it repels water. What relationship does “In other words” signal?

    Atsakymas

    Restatement for clarity. The second statement rephrases the first.

  40. 40 kortelė

    Klausimas

    Verb tense across a paragraph?

    Atsakymas

    Keep the time frame consistent unless the timing actually changes.

  41. 41 kortelė

    Klausimas

    Missing information in a data claim?

    Atsakymas

    Look for the baseline, sample size, units, comparison group, or time interval needed to judge the claim.

  42. 42 kortelė

    Klausimas

    The coating helps the fabric retain heat. Meaning of “retain”?

    Atsakymas

    Keep or continue to hold.

  43. 43 kortelė

    Klausimas

    The repair requires specialized tools. Specifically, it needs a torque wrench. What relationship does “Specifically” signal?

    Atsakymas

    General-to-specific detail. The second statement narrows the broad first statement.

  44. 44 kortelė

    Klausimas

    Coordinate adjectives?

    Atsakymas

    Separate them with a comma when their order can switch and “and” can fit between them. Example: “a clear, concise note.”

  45. 45 kortelė

    Klausimas

    Two sources on the same event?

    Atsakymas

    Compare the exact claims, evidence, scope, and perspective. Shared topic does not guarantee agreement.

  46. 46 kortelė

    Klausimas

    The survey was designed to elicit candid responses. Meaning of “elicit”?

    Atsakymas

    Draw out or bring forth.

  47. 47 kortelė

    Klausimas

    Heavy rain loosened the soil. Consequently, the trail closed. What relationship does “Consequently” signal?

    Atsakymas

    Cause and effect. The second statement is an outcome of the first.

  48. 48 kortelė

    Klausimas

    Sentence fragment?

    Atsakymas

    A group of words missing an independent clause. Attach it to a complete sentence or supply the missing subject and verb.

  49. 49 kortelė

    Klausimas

    Inference from a narrow sample?

    Atsakymas

    Limit the conclusion to the population the sample can represent. Do not generalize beyond the evidence.

  50. 50 kortelė

    Klausimas

    Cost was the main constraint on the project. Meaning of “constraint”?

    Atsakymas

    A limit or restriction.

  51. 51 kortelė

    Klausimas

    Early results conflicted. Ultimately, the team accepted the model. What relationship does “Ultimately” signal?

    Atsakymas

    Overall conclusion. The second statement gives the final judgment after earlier considerations.

  52. 52 kortelė

    Klausimas

    Conjunctive adverb between independent clauses?

    Atsakymas

    Use a semicolon before it and a comma after it. Example: “The route was longer; however, it was safer.”

  53. 53 kortelė

    Klausimas

    Most accurate summary?

    Atsakymas

    State the central idea and its essential support without adding opinions or minor details.

  54. 54 kortelė

    Klausimas

    The review was comprehensive, covering every recorded case. Meaning of “comprehensive”?

    Atsakymas

    Complete and wide-ranging.

  55. 55 kortelė

    Klausimas

    The method is efficient. Indeed, it cuts processing time in half. What relationship does “Indeed” signal?

    Atsakymas

    Emphasis and confirmation. The second statement reinforces the first with a stronger detail.

  56. 56 kortelė

    Klausimas

    Who versus whom?

    Atsakymas

    Use “who” as a subject and “whom” as an object. Test with he/him: “whom” matches “him.”

  57. 57 kortelė

    Klausimas

    Evidence that best resolves a disagreement?

    Atsakymas

    Choose evidence that tests the specific point on which the sources differ, not a fact both already accept.

  58. 58 kortelė

    Klausimas

    The two materials have distinct properties. Meaning of “distinct”?

    Atsakymas

    Clearly different or separate.

  59. 59 kortelė

    Klausimas

    The forecast warned of rain. Still, the outdoor concert began on time. What relationship does “Still” signal?

    Atsakymas

    Concession. The second statement remains true despite the obstacle in the first.

  60. 60 kortelė

    Klausimas

    Comma before an introduced direct quotation?

    Atsakymas

    Use a comma after a speech tag. Example: “Mina wrote, ‘The sample is ready.’”

  61. 61 kortelė

    Klausimas

    The conclusion was qualified by two important exceptions. Meaning of “qualified”?

    Atsakymas

    Limited or modified, rather than stated without conditions.

  62. 62 kortelė

    Klausimas

    Notes for a synthesis goal?

    Atsakymas

    Use only facts that directly serve the stated goal. Relevant notes can be omitted if they do not help that purpose.

  63. 63 kortelė

    Klausimas

    Comma splice?

    Atsakymas

    Two independent clauses joined only by a comma. Replace it with a period or semicolon, or add a coordinating conjunction.

  64. 64 kortelė

    Klausimas

    Comma between subject and verb?

    Atsakymas

    Do not use one unless an interrupting phrase requires paired commas. “The results of the trial were clear” takes no comma after “trial.”

  65. 65 kortelė

    Klausimas

    The new sensor made the older model obsolete. Meaning of “obsolete”?

    Atsakymas

    No longer useful or current because something newer replaced it.

  66. 66 kortelė

    Klausimas

    Source attribution in a synthesis?

    Atsakymas

    Name the source when its identity, authority, or perspective matters to the rhetorical goal.

  67. 67 kortelė

    Klausimas

    Compound subject joined by “and”?

    Atsakymas

    Use a plural verb in the usual case. Example: “The map and the notes are useful.”

  68. 68 kortelė

    Klausimas

    Dangling opening modifier?

    Atsakymas

    It lacks the intended doer immediately after the modifier. Rewrite so the doer becomes the subject.

  69. 69 kortelė

    Klausimas

    Researchers derived the estimate from three measurements. Meaning of “derived”?

    Atsakymas

    Obtained from a source or calculation.

  70. 70 kortelė

    Klausimas

    Chronological synthesis?

    Atsakymas

    Order events by time and use dates or sequence words only when they help the reader follow the progression.

  71. 71 kortelė

    Klausimas

    Plural noun ending in s: possessive form?

    Atsakymas

    Add an apostrophe after the existing s. Example: “the researchers' notes.”

  72. 72 kortelė

    Klausimas

    Logical comparison?

    Atsakymas

    Compare like with like. Example: compare one city's rainfall with another city's rainfall, not with the city itself.

  73. 73 kortelė

    Klausimas

    The article advocates preserving the wetland. Meaning of “advocates”?

    Atsakymas

    Publicly supports or argues for.

  74. 74 kortelė

    Klausimas

    Compare evidence from two studies?

    Atsakymas

    State the shared measure first, then the relevant difference in result, method, or population.

  75. 75 kortelė

    Klausimas

    Colon after an incomplete lead-in?

    Atsakymas

    Do not use one. A colon must follow a complete clause, so “The reasons include:” is incorrect.

  76. 76 kortelė

    Klausimas

    Number versus amount?

    Atsakymas

    Use “number” for countable items and “amount” for uncountable quantities. Example: number of files, amount of water.

  77. 77 kortelė

    Klausimas

    Portable chargers are now ubiquitous on long trips. Meaning of “ubiquitous”?

    Atsakymas

    Present or found almost everywhere.

  78. 78 kortelė

    Klausimas

    Synthesis that emphasizes a difference?

    Atsakymas

    Use the same comparison point for both subjects, then state the contrast directly.

  79. 79 kortelė

    Klausimas

    Nonessential clause or phrase?

    Atsakymas

    Set it off with paired commas. The sentence should keep its core identity and meaning when the phrase is removed.

  80. 80 kortelė

    Klausimas

    Earlier of two past actions?

    Atsakymas

    Use past perfect when the sequence needs clarification. Example: “The team had left before the storm began.”

  81. 81 kortelė

    Klausimas

    Sentence 2 presents an exception to sentence 1. Its function?

    Atsakymas

    It qualifies the first claim by limiting when or how broadly it applies.

  82. 82 kortelė

    Klausimas

    Rhetorical goal: define a term?

    Atsakymas

    Give the term's relevant meaning before using details or examples that depend on it.

  83. 83 kortelė

    Klausimas

    Cumulative adjectives?

    Atsakymas

    Do not separate them with a comma when each adjective builds on the next. Example: “three small glass jars.”

  84. 84 kortelė

    Klausimas

    Run-on sentence?

    Atsakymas

    Independent clauses joined without valid punctuation or a conjunction. Add a period, semicolon, or comma plus coordinating conjunction.

  85. 85 kortelė

    Klausimas

    Sentence 2 gives a specific case after a general claim. Its function?

    Atsakymas

    It illustrates the claim with an example.

  86. 86 kortelė

    Klausimas

    Introduce a quotation in a synthesis?

    Atsakymas

    Give enough source and context to show why the quotation matters; do not leave it unattached.

  87. 87 kortelė

    Klausimas

    Relative pronoun for people?

    Atsakymas

    Use “who” or “whom,” depending on case. Example: “the engineer who designed the bridge.”

  88. 88 kortelė

    Klausimas

    Integrated quotation punctuation?

    Atsakymas

    Do not add a comma when the quotation completes the grammar of the sentence. Example: The report calls the result “unexpected.”

  89. 89 kortelė

    Klausimas

    Sentence 2 admits a limitation before defending the claim. Its function?

    Atsakymas

    It makes a concession, showing that the writer recognizes a complication.

  90. 90 kortelė

    Klausimas

    Avoid redundancy in synthesis?

    Atsakymas

    State each needed idea once. Prefer the version that preserves meaning with fewer repeated words.

  91. 91 kortelė

    Klausimas

    Semicolon between two independent clauses?

    Atsakymas

    Use it without a coordinating conjunction when the ideas are closely related. Example: “The trial ended; the analysis began.”

  92. 92 kortelė

    Klausimas

    Comma in a compound predicate?

    Atsakymas

    Usually omit it when one subject performs both actions. Example: “The team collected the samples and recorded the temperature.”

  93. 93 kortelė

    Klausimas

    Sentence 2 explains what a technical term means. Its function?

    Atsakymas

    It defines or clarifies the term.

  94. 94 kortelė

    Klausimas

    Combine two related sentences?

    Atsakymas

    Make the logical relationship explicit and remove repeated material without changing the facts.

  95. 95 kortelė

    Klausimas

    Either/or subject agreement?

    Atsakymas

    Make the verb agree with the nearer subject. Example: “Either the notes or the map is missing.”

  96. 96 kortelė

    Klausimas

    Active versus passive voice?

    Atsakymas

    Choose the voice that fits the focus. Active highlights the doer; passive can highlight the action or receiver.

  97. 97 kortelė

    Klausimas

    Sentence 2 describes the outcome of sentence 1. Its function?

    Atsakymas

    It presents an effect or consequence.

  98. 98 kortelė

    Klausimas

    Formal academic register?

    Atsakymas

    Use precise, neutral wording and avoid slang, vague intensifiers, and chatty asides unless the goal calls for them.

  99. 99 kortelė

    Klausimas

    Its or it's?

    Atsakymas

    “Its” is possessive; “it's” means “it is” or “it has.”

  100. 100 kortelė

    Klausimas

    Adjective versus adverb?

    Atsakymas

    An adjective modifies a noun; an adverb usually modifies a verb, adjective, or adverb. Example: a careful test; test carefully.

  101. 101 kortelė

    Klausimas

    A study reports a result without arguing for a policy. Author's purpose?

    Atsakymas

    To inform or explain, not necessarily to persuade.

  102. 102 kortelė

    Klausimas

    Concise synthesis?

    Atsakymas

    Keep every fact needed for the rhetorical goal and remove details that repeat or distract from it.

  103. 103 kortelė

    Klausimas

    Single dash for emphasis?

    Atsakymas

    Use it after a complete thought to spotlight a final explanation or turn. Example: “One result stood out—the oldest sample.”

  104. 104 kortelė

    Klausimas

    Comma with direct address?

    Atsakymas

    Set off the person being addressed. Example: “Rina, please check the units.”

  105. 105 kortelė

    Klausimas

    Why acknowledge a limitation?

    Atsakymas

    To define the claim's boundary and show how the evidence should be interpreted.

  106. 106 kortelė

    Klausimas

    Quantitative comparison in a synthesis?

    Atsakymas

    Name both values, the shared unit, and the direction or size of the difference.

  107. 107 kortelė

    Klausimas

    Each of the samples: verb number?

    Atsakymas

    Singular. “Each of the samples was labeled.” The subject is “each.”

  108. 108 kortelė

    Klausimas

    Between versus among?

    Atsakymas

    Use “between” for distinct individual relationships and “among” for a group without separate pairings.

  109. 109 kortelė

    Klausimas

    Rhetorical question in an argument?

    Atsakymas

    It can frame the issue or prompt the reader to consider an implied answer; it is not evidence by itself.

  110. 110 kortelė

    Klausimas

    Claim before or after support?

    Atsakymas

    Place it where the rhetorical goal is clearest: before evidence for a direct point, or after evidence for an evidence-led conclusion.

  111. 111 kortelė

    Klausimas

    Restrictive “that” versus nonrestrictive “which”?

    Atsakymas

    Use “that” without commas for essential information; use “which” with commas for removable information.

  112. 112 kortelė

    Klausimas

    Present perfect use?

    Atsakymas

    Use it for an action connected to the present or continuing to now. Example: “The team has tracked rainfall since May.”

  113. 113 kortelė

    Klausimas

    Two texts reach the same conclusion with different evidence. Relationship?

    Atsakymas

    They agree in conclusion but support it through different evidence.

  114. 114 kortelė

    Klausimas

    Group related ideas in a synthesis?

    Atsakymas

    Keep facts serving the same point together, then signal the move to a new point.

  115. 115 kortelė

    Klausimas

    Compound modifier before a noun?

    Atsakymas

    Hyphenate it when needed for clarity. Example: “a well-designed study.”

  116. 116 kortelė

    Klausimas

    Affect or effect?

    Atsakymas

    “Affect” is usually a verb meaning influence; “effect” is usually a noun meaning result.

  117. 117 kortelė

    Klausimas

    Two texts offer incompatible explanations. Relationship?

    Atsakymas

    They disagree about the cause or interpretation, even if they share the same observations.

  118. 118 kortelė

    Klausimas

    Replace a vague pronoun in synthesis?

    Atsakymas

    Use the precise noun when two or more possible antecedents could confuse the reader.

  119. 119 kortelė

    Klausimas

    Comma-separated list?

    Atsakymas

    Use commas between three or more parallel items. A final serial comma can prevent ambiguity.

  120. 120 kortelė

    Klausimas

    Main clause before a dependent clause?

    Atsakymas

    Usually no comma when the dependent clause is essential. Example: “The match continued although rain fell.”

  121. 121 kortelė

    Klausimas

    Two authors use the same evidence but different assumptions. Key difference?

    Atsakymas

    Their perspectives or interpretive frameworks, not the underlying evidence.

  122. 122 kortelė

    Klausimas

    Independent clauses joined with a coordinating conjunction?

    Atsakymas

    Place a comma before the conjunction. Example: “The sensor failed, so the team repeated the trial.”

  123. 123 kortelė

    Klausimas

    Introductory transition?

    Atsakymas

    Follow it with a comma when it modifies the whole sentence. Example: “However, the second trial succeeded.”

  124. 124 kortelė

    Klausimas

    Pronoun–antecedent agreement?

    Atsakymas

    Match number and make the reference clear. Singular “they” is standard when a person's gender is unknown or irrelevant.

  125. 125 kortelė

    Klausimas

    Paired em dashes?

    Atsakymas

    Use them to set off an emphatic interruption. Both dashes are needed when the sentence continues after it.

  126. 126 kortelė

    Klausimas

    How does new evidence relate to an earlier claim?

    Atsakymas

    It may support, weaken, qualify, or leave the claim unchanged. Match the evidence to the exact claim.

  127. 127 kortelė

    Klausimas

    Their, there, or they're?

    Atsakymas

    “Their” is possessive, “there” refers to place or existence, and “they're” means “they are.”

  128. 128 kortelė

    Klausimas

    Good or well?

    Atsakymas

    “Good” is usually an adjective; “well” is usually an adverb. A person can feel good and perform well.

  129. 129 kortelė

    Klausimas

    Appositive naming the same noun?

    Atsakymas

    Set a nonessential appositive off with commas. Example: “Dr. Rao, the lead author, presented the findings.”

  130. 130 kortelė

    Klausimas

    Why use an analogy?

    Atsakymas

    To clarify an unfamiliar idea through a relevant similarity to something more familiar.

  131. 131 kortelė

    Klausimas

    Than or then?

    Atsakymas

    “Than” makes a comparison; “then” refers to time or consequence.

  132. 132 kortelė

    Klausimas

    Hypothetical contrary-to-fact “if” clause?

    Atsakymas

    Use subjunctive “were.” Example: “If the sample were larger, the estimate would be steadier.”

  133. 133 kortelė

    Klausimas

    Plural noun with no possession?

    Atsakymas

    Do not add an apostrophe. Write “three sensors,” not “three sensor's.”

  134. 134 kortelė

    Klausimas

    Neutral, evidence-led wording indicates what tone?

    Atsakymas

    Objective. It emphasizes information rather than strong personal judgment.

  135. 135 kortelė

    Klausimas

    Complex list with internal commas?

    Atsakymas

    Use semicolons between the main items. Example: “Lima, Peru; Accra, Ghana; and Hanoi, Vietnam.”

  136. 136 kortelė

    Klausimas

    Ambiguous pronoun?

    Atsakymas

    A pronoun with more than one plausible antecedent. Replace it with the intended noun.

  137. 137 kortelė

    Klausimas

    Parentheses around nonessential information?

    Atsakymas

    Use them for an aside that is less central than the main sentence. The sentence must remain grammatical without it.

  138. 138 kortelė

    Klausimas

    Repeated doubt about the evidence indicates what tone?

    Atsakymas

    Skeptical. The writer questions whether a claim is adequately supported.

  139. 139 kortelė

    Klausimas

    Superlative comparison?

    Atsakymas

    Use it for one member against a group of three or more. Example: “the fastest of the four methods.”

  140. 140 kortelė

    Klausimas

    Pronoun after a preposition?

    Atsakymas

    Use the object form. Write “between you and me,” not “between you and I.”

  141. 141 kortelė

    Klausimas

    Apostrophe in a contraction?

    Atsakymas

    It marks omitted letters. Example: “can't” contracts “cannot,” and “they're” contracts “they are.”

  142. 142 kortelė

    Klausimas

    Coordinate-adjective test?

    Atsakymas

    If “and” works between the adjectives and their order can reverse, use a comma between them.

  143. 143 kortelė

    Klausimas

    Double comparative?

    Atsakymas

    Use only one comparative marker. Write “more efficient” or “faster,” not “more faster.”

  144. 144 kortelė

    Klausimas

    Lie or lay?

    Atsakymas

    “Lie” means recline and takes no object; “lay” means place and takes an object. Present: lie/lay; past: lay/laid.

  145. 145 kortelė

    Klausimas

    Who's or whose?

    Atsakymas

    “Who's” means “who is” or “who has”; “whose” is possessive.

  146. 146 kortelė

    Klausimas

    Standard comparison with “different”?

    Atsakymas

    Use “different from.” Example: “This result is different from the earlier estimate.”

  147. 147 kortelė

    Klausimas

    Paired construction with two endpoints?

    Atsakymas

    Use “between” with “and”: “between 10 and 15,” not “between 10 to 15.”

  148. 148 kortelė

    Klausimas

    Verb mood in a coordinated idea?

    Atsakymas

    Keep the mood consistent unless the meaning changes. Do not shift from a command to a statement without reason.

  149. 149 kortelė

    Klausimas

    Possessive pronoun apostrophe?

    Atsakymas

    Do not use one. Write “hers,” “ours,” “yours,” and “theirs.”

  150. 150 kortelė

    Klausimas

    Comma between a preposition and its object?

    Atsakymas

    Do not use one. Keep the prepositional phrase intact: “in the final report,” not “in, the final report.”

    An open study book surrounded by punctuation marks, a coordinate graph, a right triangle, a circle, and a data chart.

    300 kortelių

    Digital SAT Flashcards: Math, Grammar & Words in Context

    Mokytis iš šio rinkinio nemokamai

    Atsidarys Nibomo ir galėsite pradėti mokytis.

  151. 151 kortelė

    Klausimas

    Solve ax+b=cax+b=c for xx, where a0a≠0.

    Atsakymas

    x=(cb)/ax=(c-b)/a. Subtract bb first, then divide by aa.

  152. 152 kortelė

    Klausimas

    Product of powers with the same base?

    Atsakymas

    aman=am+na^m a^n=a^{m+n}. Keep the base and add the exponents.

  153. 153 kortelė

    Klausimas

    Unit rate?

    Atsakymas

    The amount per 1 unit. Divide both quantities by the same value so the denominator becomes 1.

  154. 154 kortelė

    Klausimas

    Rectangle area?

    Atsakymas

    A=lwA=lw, where ll is length and ww is width.

  155. 155 kortelė

    Klausimas

    Slope from two points?

    Atsakymas

    m=(y2y1)/(x2x1)m=(y_2-y_1)/(x_2-x_1). Subtract coordinates in the same order.

  156. 156 kortelė

    Klausimas

    Quotient of powers with the same base?

    Atsakymas

    am/an=amna^m/a^n=a^{m-n} for a0a≠0.

  157. 157 kortelė

    Klausimas

    Conversion factor setup?

    Atsakymas

    Multiply by a ratio equal to 1, with the unwanted unit placed to cancel.

  158. 158 kortelė

    Klausimas

    Triangle area?

    Atsakymas

    A=(1/2)bhA=(1/2)bh. The height must be perpendicular to the chosen base.

  159. 159 kortelė

    Klausimas

    Slope-intercept form?

    Atsakymas

    y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.

  160. 160 kortelė

    Klausimas

    Power raised to a power?

    Atsakymas

    (am)n=amn(a^m)^n=a^{mn}. Multiply the exponents.

  161. 161 kortelė

    Klausimas

    Dimensional analysis check?

    Atsakymas

    Cancel units algebraically. The units left at the end should match the quantity requested.

  162. 162 kortelė

    Klausimas

    Trapezoid area?

    Atsakymas

    A=(1/2)(b1+b2)hA=(1/2)(b_1+b_2)h. The height is perpendicular to the parallel bases.

  163. 163 kortelė

    Klausimas

    Point-slope form?

    Atsakymas

    yy1=m(xx1)y-y_1=m(x-x_1). Use a known point (x1,y1)(x_1,y_1) and the slope mm.

  164. 164 kortelė

    Klausimas

    Negative exponent?

    Atsakymas

    an=1/ana^{-n}=1/a^n for a0a≠0.

  165. 165 kortelė

    Klausimas

    Constant of proportionality in y=kxy=kx?

    Atsakymas

    k=y/xk=y/x for x0x≠0. It is also the unit rate and slope.

  166. 166 kortelė

    Klausimas

    Circle area?

    Atsakymas

    A=πr2A=πr^2.

  167. 167 kortelė

    Klausimas

    Intercepts from Ax+By=CAx+By=C?

    Atsakymas

    Set y=0y=0 for the x-intercept and set x=0x=0 for the y-intercept.

  168. 168 kortelė

    Klausimas

    Fractional exponent?

    Atsakymas

    am/na^{m/n} means the nth root of ama^m. For example, a1/2=aa^{1/2}=√a.

  169. 169 kortelė

    Klausimas

    Scale drawing length?

    Atsakymas

    Use a proportion with corresponding lengths in the same order, then apply the stated scale factor.

  170. 170 kortelė

    Klausimas

    Circle circumference?

    Atsakymas

    C=2πr=πdC=2πr=πd.

  171. 171 kortelė

    Klausimas

    Parallel nonvertical lines: slope relationship?

    Atsakymas

    They have equal slopes. Distinct parallel lines have different intercepts.

  172. 172 kortelė

    Klausimas

    Difference of squares?

    Atsakymas

    a2b2=(ab)(a+b)a^2-b^2=(a-b)(a+b).

  173. 173 kortelė

    Klausimas

    Percent change?

    Atsakymas

    New minus original, divided by the original, then multiplied by 100 percent. The original value is the denominator.

  174. 174 kortelė

    Klausimas

    Arc length from central angle θθ in degrees?

    Atsakymas

    L=(θ/360)(2πr)L=(θ/360)(2πr).

  175. 175 kortelė

    Klausimas

    Perpendicular nonvertical lines: slope relationship?

    Atsakymas

    Their slopes are negative reciprocals, so m1m2=1m_1m_2=-1.

  176. 176 kortelė

    Klausimas

    Perfect-square trinomial pattern?

    Atsakymas

    a2+2ab+b2=(a+b)2a^2+2ab+b^2=(a+b)^2 and a22ab+b2=(ab)2a^2-2ab+b^2=(a-b)^2.

  177. 177 kortelė

    Klausimas

    Increase by rr percent: multiplier?

    Atsakymas

    1+r/1001+r/100. Multiply the original value by this factor.

  178. 178 kortelė

    Klausimas

    Sector area from central angle θθ in degrees?

    Atsakymas

    A=(θ/360)(πr2)A=(θ/360)(πr^2).

  179. 179 kortelė

    Klausimas

    x-intercept of a graph?

    Atsakymas

    A point where y=0y=0 and the graph meets the x-axis.

  180. 180 kortelė

    Klausimas

    First step in factoring ax2+bx+cax^2+bx+c?

    Atsakymas

    Look for common factors and two binomials whose product reproduces the middle and constant terms.

  181. 181 kortelė

    Klausimas

    Original value after a 20 percent increase to 84?

    Atsakymas

    1. Divide the final value by the multiplier: $84/1.20=70$.
  182. 182 kortelė

    Klausimas

    Triangle interior-angle sum?

    Atsakymas

    180°180°.

  183. 183 kortelė

    Klausimas

    y-intercept of a graph?

    Atsakymas

    A point where x=0x=0 and the graph meets the y-axis.

  184. 184 kortelė

    Klausimas

    Roots from (xp)(xq)=0(x-p)(x-q)=0?

    Atsakymas

    x=px=p or x=qx=q, by the zero-product property.

  185. 185 kortelė

    Klausimas

    Weighted average?

    Atsakymas

    Sum of each value times its weight, divided by the sum of the weights. Do not take a simple average of unequal groups.

  186. 186 kortelė

    Klausimas

    Exterior angle of a triangle?

    Atsakymas

    It equals the sum of the two remote interior angles.

  187. 187 kortelė

    Klausimas

    Line through two points?

    Atsakymas

    Find the slope, then substitute either point into point-slope or slope-intercept form.

  188. 188 kortelė

    Klausimas

    Quadratic formula?

    Atsakymas

    x=(b±(b24ac))/(2a)x=(-b±√(b^2-4ac))/(2a) for ax2+bx+c=0ax^2+bx+c=0.

  189. 189 kortelė

    Klausimas

    Arithmetic mean?

    Atsakymas

    Add all values and divide by the number of values.

  190. 190 kortelė

    Klausimas

    Parallel lines cut by a transversal: alternate interior angles?

    Atsakymas

    They are congruent.

  191. 191 kortelė

    Klausimas

    Slope's units in context?

    Atsakymas

    Output units per input unit. In yy versus xx, slope units are y-units divided by x-units.

  192. 192 kortelė

    Klausimas

    What does b24acb^2-4ac tell you?

    Atsakymas

    The number of real solutions: positive gives two, zero gives one, and negative gives none.

  193. 193 kortelė

    Klausimas

    Median?

    Atsakymas

    The middle value after ordering the data; for an even count, average the two middle values.

  194. 194 kortelė

    Klausimas

    Similar triangles: corresponding sides?

    Atsakymas

    They are proportional. Match sides opposite equal angles.

  195. 195 kortelė

    Klausimas

    Direct variation model?

    Atsakymas

    y=kxy=kx. It is linear and passes through the origin.

  196. 196 kortelė

    Klausimas

    Vertex x-coordinate of ax2+bx+cax^2+bx+c?

    Atsakymas

    x=b/(2a)x=-b/(2a).

  197. 197 kortelė

    Klausimas

    Range of a data set?

    Atsakymas

    Maximum minus minimum.

  198. 198 kortelė

    Klausimas

    Scale factor kk: area factor?

    Atsakymas

    k2k^2. Lengths scale by kk, while areas scale by the square of kk.

  199. 199 kortelė

    Klausimas

    Solution of a two-line system?

    Atsakymas

    The intersection point, whose coordinates satisfy both equations.

  200. 200 kortelė

    Klausimas

    Vertex form of a quadratic?

    Atsakymas

    y=a(xh)2+ky=a(x-h)^2+k, with vertex (h,k)(h,k).

  201. 201 kortelė

    Klausimas

    Interquartile range?

    Atsakymas

    IQR=Q3Q1IQR=Q_3-Q_1. It measures the spread of the middle half of the data.

  202. 202 kortelė

    Klausimas

    Pythagorean theorem?

    Atsakymas

    a2+b2=c2a^2+b^2=c^2 for a right triangle, where cc is the hypotenuse.

  203. 203 kortelė

    Klausimas

    Substitution in a system?

    Atsakymas

    Solve one equation for a variable and replace that variable in the other equation.

  204. 204 kortelė

    Klausimas

    Axis of symmetry of y=a(xh)2+ky=a(x-h)^2+k?

    Atsakymas

    x=hx=h.

  205. 205 kortelė

    Klausimas

    Larger standard deviation means what?

    Atsakymas

    The data are more spread out around the mean.

  206. 206 kortelė

    Klausimas

    45°-45°-90° side ratio?

    Atsakymas

    1:1:21:1:√2. The hypotenuse is a leg times 2√2.

  207. 207 kortelė

    Klausimas

    Elimination in a system?

    Atsakymas

    Add or subtract equations so one variable cancels, then solve for the other.

  208. 208 kortelė

    Klausimas

    Completing the square?

    Atsakymas

    For x2+bxx^2+bx, add (b/2)2(b/2)^2 to form (x+b/2)2(x+b/2)^2.

  209. 209 kortelė

    Klausimas

    Effect of a high outlier on the mean?

    Atsakymas

    It usually pulls the mean upward. The median is often less affected.

  210. 210 kortelė

    Klausimas

    30°-60°-90° side ratio?

    Atsakymas

    1:3:21:√3:2, opposite 30°30°, 60°60°, and 90°90° respectively.

  211. 211 kortelė

    Klausimas

    Parallel lines in a system?

    Atsakymas

    No solution when they are distinct: equal slopes and different intercepts.

  212. 212 kortelė

    Klausimas

    Sum and product of roots of ax2+bx+c=0ax^2+bx+c=0?

    Atsakymas

    Sum =b/a=-b/a and product =c/a=c/a.

  213. 213 kortelė

    Klausimas

    Add the same constant to every data value: effect?

    Atsakymas

    The mean and median increase by that constant; measures of spread stay unchanged.

  214. 214 kortelė

    Klausimas

    Right-triangle sine?

    Atsakymas

    Sine of θθ equals opposite over hypotenuse.

  215. 215 kortelė

    Klausimas

    Same line written two ways in a system?

    Atsakymas

    Infinitely many solutions. Simplifying either equation produces the other.

  216. 216 kortelė

    Klausimas

    Remainder when P(x)P(x) is divided by xax-a?

    Atsakymas

    P(a)P(a), by the Remainder Theorem.

  217. 217 kortelė

    Klausimas

    Multiply every data value by positive kk: effect?

    Atsakymas

    The mean, median, range, IQR, and standard deviation are all multiplied by kk.

  218. 218 kortelė

    Klausimas

    Right-triangle cosine?

    Atsakymas

    Cosine of θθ equals adjacent over hypotenuse.

  219. 219 kortelė

    Klausimas

    Multiply or divide an inequality by a negative number?

    Atsakymas

    Reverse the inequality sign.

  220. 220 kortelė

    Klausimas

    When is xax-a a factor of P(x)P(x)?

    Atsakymas

    When P(a)=0P(a)=0, by the Factor Theorem.

  221. 221 kortelė

    Klausimas

    Joint probability from a two-way table?

    Atsakymas

    Divide the count in the intersection cell by the grand total.

  222. 222 kortelė

    Klausimas

    Right-triangle tangent?

    Atsakymas

    Tangent of θθ equals opposite over adjacent.

  223. 223 kortelė

    Klausimas

    Compound inequality with “and”?

    Atsakymas

    Use the intersection: values that satisfy both inequalities.

  224. 224 kortelė

    Klausimas

    Even degree with positive leading coefficient: end behavior?

    Atsakymas

    Both ends rise: P(x)P(x)→∞ as x±x→±∞.

  225. 225 kortelė

    Klausimas

    Conditional probability P(AB)P(A|B)?

    Atsakymas

    P(AB)/P(B)P(A∩B)/P(B). Restrict the denominator to outcomes in BB.

  226. 226 kortelė

    Klausimas

    Complementary acute angles: sine–cosine relationship?

    Atsakymas

    The sine of θθ equals the cosine of 90°θ90°-θ.

  227. 227 kortelė

    Klausimas

    Compound inequality with “or”?

    Atsakymas

    Use the union: values that satisfy at least one inequality.

  228. 228 kortelė

    Klausimas

    Odd degree with positive leading coefficient: end behavior?

    Atsakymas

    The left end falls and the right end rises.

  229. 229 kortelė

    Klausimas

    Independent events AA and BB?

    Atsakymas

    P(AB)=P(A)P(B)P(A∩B)=P(A)P(B). Knowing one occurred does not change the probability of the other.

  230. 230 kortelė

    Klausimas

    Distance between (x1,y1)(x_1,y_1) and (x2,y2)(x_2,y_2)?

    Atsakymas

    ((x2x1)2+(y2y1)2)√((x_2-x_1)^2+(y_2-y_1)^2).

  231. 231 kortelė

    Klausimas

    Solve xa=b|x-a|=b for b0b≥0.

    Atsakymas

    xa=bx-a=b or xa=bx-a=-b. Absolute value represents distance from aa.

  232. 232 kortelė

    Klausimas

    Exponential growth model?

    Atsakymas

    y=a(1+r)ty=a(1+r)^t, where aa is the initial value and rr is the growth rate per period.

  233. 233 kortelė

    Klausimas

    Mutually exclusive events?

    Atsakymas

    They cannot occur together, so P(AB)=P(A)+P(B)P(A∪B)=P(A)+P(B).

  234. 234 kortelė

    Klausimas

    Midpoint of two points?

    Atsakymas

    ((x1+x2)/2,(y1+y2)/2)((x_1+x_2)/2,(y_1+y_2)/2).

  235. 235 kortelė

    Klausimas

    Solve xa<b|x-a|<b for b>0b>0.

    Atsakymas

    ab<x<a+ba-b<x<a+b. The solution lies within distance bb of aa.

  236. 236 kortelė

    Klausimas

    Exponential decay model?

    Atsakymas

    y=a(1r)ty=a(1-r)^t, where 0<r<10<r<1 is the decay rate per period.

  237. 237 kortelė

    Klausimas

    Complement rule?

    Atsakymas

    The probability that AA does not occur is 1P(A)1-P(A).

  238. 238 kortelė

    Klausimas

    Circle with center (h,k)(h,k) and radius rr?

    Atsakymas

    (xh)2+(yk)2=r2(x-h)^2+(y-k)^2=r^2.

  239. 239 kortelė

    Klausimas

    Evaluate f(a)f(a)?

    Atsakymas

    Substitute aa for every input variable in the function rule, then simplify.

  240. 240 kortelė

    Klausimas

    Growth factor 1.08: percent growth rate?

    Atsakymas

    8 percent. Subtract 1 and convert the decimal to a percent.

  241. 241 kortelė

    Klausimas

    Representative random sample permits what conclusion?

    Atsakymas

    A cautious generalization from the sample to the population it represents.

  242. 242 kortelė

    Klausimas

    Radius from (xh)2+(yk)2=R(x-h)^2+(y-k)^2=R?

    Atsakymas

    r=Rr=√R, provided R>0R>0.

  243. 243 kortelė

    Klausimas

    Linear table: constant slope check?

    Atsakymas

    Equal changes in xx must produce equal changes in yy; compare Δy/ΔxΔy/Δx across intervals.

  244. 244 kortelė

    Klausimas

    Decay factor 0.73: percent decrease?

    Atsakymas

    27 percent. Compute 10.73=0.271-0.73=0.27.

  245. 245 kortelė

    Klausimas

    Random assignment permits what causal claim?

    Atsakymas

    If the experiment is well controlled, differences between treatment groups can support a causal conclusion.

  246. 246 kortelė

    Klausimas

    Radius and tangent at the contact point?

    Atsakymas

    They are perpendicular.

  247. 247 kortelė

    Klausimas

    Positive slope means what for a linear function?

    Atsakymas

    The output increases as the input increases.

  248. 248 kortelė

    Klausimas

    Solve 32x=3103^{2x}=3^{10}.

    Atsakymas

    x=5x=5. Equal positive bases other than 1 have equal exponents.

  249. 249 kortelė

    Klausimas

    Observational study supports causation?

    Atsakymas

    No. It can show association, but uncontrolled confounding variables may explain the pattern.

  250. 250 kortelė

    Klausimas

    Rectangular-prism volume?

    Atsakymas

    V=lwhV=lwh, or base area times height.

  251. 251 kortelė

    Klausimas

    Arithmetic sequence common difference?

    Atsakymas

    Subtract consecutive terms: d=anan1d=a_n-a_{n-1}.

  252. 252 kortelė

    Klausimas

    Compound interest formula?

    Atsakymas

    A=P(1+r/n)ntA=P(1+r/n)^{nt}, where nn is the number of compounding periods per year.

  253. 253 kortelė

    Klausimas

    Larger random sample: effect on margin of error?

    Atsakymas

    It generally decreases the margin of error when the sampling method stays sound.

  254. 254 kortelė

    Klausimas

    Cylinder volume?

    Atsakymas

    V=πr2hV=πr^2h.

  255. 255 kortelė

    Klausimas

    Arithmetic sequence nth term?

    Atsakymas

    an=a1+(n1)da_n=a_1+(n-1)d.

  256. 256 kortelė

    Klausimas

    Rational expression: first domain check?

    Atsakymas

    Exclude values that make any original denominator zero, even if a factor later cancels.

  257. 257 kortelė

    Klausimas

    Slope of a line of best fit?

    Atsakymas

    The predicted change in the response variable for each 1-unit increase in the explanatory variable.

  258. 258 kortelė

    Klausimas

    Cone volume?

    Atsakymas

    V=(1/3)πr2hV=(1/3)πr^2h.

  259. 259 kortelė

    Klausimas

    Solve a literal equation for one variable?

    Atsakymas

    Treat the other symbols as constants and use inverse operations to isolate the target variable.

  260. 260 kortelė

    Klausimas

    Why check rational-equation solutions?

    Atsakymas

    Clearing denominators can produce a value excluded from the original equation. Reject any value that makes an original denominator zero.

  261. 261 kortelė

    Klausimas

    Residual?

    Atsakymas

    Actual value minus predicted value. A positive residual means the point lies above the model.

  262. 262 kortelė

    Klausimas

    Sphere volume?

    Atsakymas

    V=(4/3)πr3V=(4/3)πr^3.

  263. 263 kortelė

    Klausimas

    Boundary for a two-variable linear inequality?

    Atsakymas

    Replace the inequality with equality to draw the boundary line, then test a point for the shaded side.

  264. 264 kortelė

    Klausimas

    Why check a solution after squaring both sides?

    Atsakymas

    Squaring can introduce an extraneous solution. Substitute each candidate into the original radical equation.

  265. 265 kortelė

    Klausimas

    Positive correlation?

    Atsakymas

    Larger values of one variable tend to occur with larger values of the other. It does not prove causation.

  266. 266 kortelė

    Klausimas

    Rectangular-prism surface area?

    Atsakymas

    SA=2(lw+lh+wh)SA=2(lw+lh+wh).

  267. 267 kortelė

    Klausimas

    Check a proposed system solution?

    Atsakymas

    Substitute the ordered pair into both original equations. It must make both true.

  268. 268 kortelė

    Klausimas

    Simplify 72√72.

    Atsakymas

    626√2. Factor 72=36×272=36×2 and take 36√36 outside the radical.

  269. 269 kortelė

    Klausimas

    Extrapolation risk?

    Atsakymas

    A model may not keep the same pattern outside the observed data range.

  270. 270 kortelė

    Klausimas

    Area scale factor when lengths double?

    Atsakymas

    1. Area scales with the square of the length factor: $2^2=4$.
  271. 271 kortelė

    Klausimas

    Horizontal line slope?

    Atsakymas

    1. Its y-value does not change as x changes.
  272. 272 kortelė

    Klausimas

    Inverse function setup?

    Atsakymas

    Write y=f(x)y=f(x), swap xx and yy, then solve for yy. Restrict the domain when needed to make the inverse a function.

  273. 273 kortelė

    Klausimas

    Percentage points versus percent change?

    Atsakymas

    A rate moving from 40 percent to 50 percent rises 10 percentage points but 25 percent relative to 40.

  274. 274 kortelė

    Klausimas

    y-intercept in a context?

    Atsakymas

    The predicted or initial output when the input is zero; check whether zero is meaningful in the situation.

  275. 275 kortelė

    Klausimas

    Quadratic maximum or minimum from vertex form?

    Atsakymas

    The vertex value is kk in a(xh)2+ka(x-h)^2+k; it is a minimum if a>0a>0 and a maximum if a<0a<0.

  276. 276 kortelė

    Klausimas

    Line parallel to y=mx+by=mx+b through (p,q)(p,q)?

    Atsakymas

    yq=m(xp)y-q=m(x-p). Parallel lines keep the same slope.

  277. 277 kortelė

    Klausimas

    Graph of f(xh)+kf(x-h)+k?

    Atsakymas

    Shift the graph of ff right hh units and up kk units.

  278. 278 kortelė

    Klausimas

    Population versus sample?

    Atsakymas

    The population is the full group of interest; a sample is the subset actually observed.

  279. 279 kortelė

    Klausimas

    Linear model from initial value bb and rate mm?

    Atsakymas

    y=mx+by=mx+b. The initial value is the output at input zero.

  280. 280 kortelė

    Klausimas

    Function composition (fg)(x)(f∘g)(x)?

    Atsakymas

    f(g(x))f(g(x)). Evaluate the inner function gg first.

  281. 281 kortelė

    Klausimas

    Density?

    Atsakymas

    Mass divided by volume. Keep the units consistent.

  282. 282 kortelė

    Klausimas

    Vertical line slope?

    Atsakymas

    Undefined because Δx=0Δx=0, which would require division by zero.

  283. 283 kortelė

    Klausimas

    Nonlinear system with one equation solved for yy?

    Atsakymas

    Substitute that expression for yy into the other equation, solve for xx, then find each matching yy.

  284. 284 kortelė

    Klausimas

    Weighted percentage across unequal groups?

    Atsakymas

    Convert each percentage to a count or weight, add the successes, then divide by the combined total.

  285. 285 kortelė

    Klausimas

    Line perpendicular to a nonzero finite slope mm through (p,q)(p,q)?

    Atsakymas

    Use slope 1/m-1/m in yq=(1/m)(xp)y-q=(-1/m)(x-p), when mm is nonzero and finite.

  286. 286 kortelė

    Klausimas

    Cancel a common factor in a rational expression?

    Atsakymas

    Cancel factors, not terms, and keep every restriction from the original denominator.

  287. 287 kortelė

    Klausimas

    Solve a linear equation containing fractions?

    Atsakymas

    Multiply every term by the least common denominator first, then solve the resulting linear equation.

  288. 288 kortelė

    Klausimas

    Rewrite a2xa^{2x} using base axa^x.

    Atsakymas

    (ax)2(a^x)^2. This can turn an exponential expression into a quadratic form.

  289. 289 kortelė

    Klausimas

    Rate units check?

    Atsakymas

    Write the numerator and denominator units explicitly, such as kilometers per hour, then convert only if the requested units differ.

  290. 290 kortelė

    Klausimas

    Strict versus inclusive inequality endpoint?

    Atsakymas

    Use an open point for << or >> and a closed point for or .

  291. 291 kortelė

    Klausimas

    Even-multiplicity zero on a graph?

    Atsakymas

    The graph touches the x-axis and turns around; it does not cross there.

  292. 292 kortelė

    Klausimas

    System word problem: first setup step?

    Atsakymas

    Define the variables with units, then translate two independent relationships into equations.

  293. 293 kortelė

    Klausimas

    When does a quadratic have exactly one real solution?

    Atsakymas

    When b24ac=0b^2-4ac=0. The repeated root is the vertex's x-coordinate.

  294. 294 kortelė

    Klausimas

    Two-way table: denominator for “among group B”?

    Atsakymas

    Use the total for group B, not the grand total. The wording makes B the condition.

  295. 295 kortelė

    Klausimas

    Find an input when f(x)=kf(x)=k.

    Atsakymas

    Set the function rule equal to kk and solve for xx; there may be zero, one, or several inputs.

  296. 296 kortelė

    Klausimas

    Graph of f(x)-f(x)?

    Atsakymas

    Reflect the graph of f(x)f(x) across the x-axis.

  297. 297 kortelė

    Klausimas

    Three consecutive integers starting with nn?

    Atsakymas

    nn, n+1n+1, and n+2n+2.

  298. 298 kortelė

    Klausimas

    Line–parabola intersections from a substituted quadratic?

    Atsakymas

    Use its discriminant: positive means two intersections, zero one tangent intersection, and negative none.

  299. 299 kortelė

    Klausimas

    Linear equation with no solution: coefficient pattern?

    Atsakymas

    After simplification, the variable terms cancel and leave a false statement, such as 0=50=5.

  300. 300 kortelė

    Klausimas

    Zeros of a function on its graph?

    Atsakymas

    The x-coordinates where the graph meets the x-axis, so f(x)=0f(x)=0.

An open study book surrounded by punctuation marks, a coordinate graph, a right triangle, a circle, and a data chart.

300 kortelių

Digital SAT Flashcards: Math, Grammar & Words in Context

Mokytis iš šio rinkinio nemokamai

Atsidarys Nibomo ir galėsite pradėti mokytis.