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.

Tentang dek ini

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.

Kartu dalam dek ini

  1. Kartu 1

    Pertanyaan

    Central idea of a passage?

    Jawaban

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

  2. Kartu 2

    Pertanyaan

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

    Jawaban

    Reduced. The trees made the heat less severe.

  3. Kartu 3

    Pertanyaan

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

    Jawaban

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

  4. Kartu 4

    Pertanyaan

    Three standard joins for two independent clauses?

    Jawaban

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

  5. Kartu 5

    Pertanyaan

    Best supporting detail?

    Jawaban

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

  6. Kartu 6

    Pertanyaan

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

    Jawaban

    Confirmed with supporting evidence.

  7. Kartu 7

    Pertanyaan

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

    Jawaban

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

  8. Kartu 8

    Pertanyaan

    Introductory dependent clause before a main clause?

    Jawaban

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

  9. Kartu 9

    Pertanyaan

    Valid inference?

    Jawaban

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

  10. Kartu 10

    Pertanyaan

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

    Jawaban

    Provisional or not yet certain.

  11. Kartu 11

    Pertanyaan

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

    Jawaban

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

  12. Kartu 12

    Pertanyaan

    Singular subject with an intervening prepositional phrase?

    Jawaban

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

  13. Kartu 13

    Pertanyaan

    Strongest textual evidence?

    Jawaban

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

  14. Kartu 14

    Pertanyaan

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

    Jawaban

    So small that it is not important.

  15. Kartu 15

    Pertanyaan

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

    Jawaban

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

  16. Kartu 16

    Pertanyaan

    Opening modifier placement?

    Jawaban

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

  17. Kartu 17

    Pertanyaan

    Quantitative evidence for a claim?

    Jawaban

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

  18. Kartu 18

    Pertanyaan

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

    Jawaban

    Traditional or commonly accepted.

  19. Kartu 19

    Pertanyaan

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

    Jawaban

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

  20. Kartu 20

    Pertanyaan

    Singular possessive noun?

    Jawaban

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

  21. Kartu 21

    Pertanyaan

    Trend in a table or graph?

    Jawaban

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

  22. Kartu 22

    Pertanyaan

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

    Jawaban

    New or original in this context.

  23. Kartu 23

    Pertanyaan

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

    Jawaban

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

  24. Kartu 24

    Pertanyaan

    Parallel items in a series?

    Jawaban

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

  25. Kartu 25

    Pertanyaan

    Claim stronger than the evidence?

    Jawaban

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

  26. Kartu 26

    Pertanyaan

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

    Jawaban

    Reasonable or believable.

  27. Kartu 27

    Pertanyaan

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

    Jawaban

    Addition. The second statement adds a related supporting point.

  28. Kartu 28

    Pertanyaan

    Colon before an explanation or list?

    Jawaban

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

  29. Kartu 29

    Pertanyaan

    Claim versus evidence?

    Jawaban

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

  30. Kartu 30

    Pertanyaan

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

    Jawaban

    Open to more than one interpretation.

  31. Kartu 31

    Pertanyaan

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

    Jawaban

    Replacement. The second statement substitutes one action for another.

  32. Kartu 32

    Pertanyaan

    Count nouns versus mass nouns?

    Jawaban

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

  33. Kartu 33

    Pertanyaan

    Effect of a counterexample?

    Jawaban

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

  34. Kartu 34

    Pertanyaan

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

    Jawaban

    Irregular and occasional.

  35. Kartu 35

    Pertanyaan

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

    Jawaban

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

  36. Kartu 36

    Pertanyaan

    Essential clause punctuation?

    Jawaban

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

  37. Kartu 37

    Pertanyaan

    Correlation alone proves causation?

    Jawaban

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

  38. Kartu 38

    Pertanyaan

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

    Jawaban

    Coming later in time.

  39. Kartu 39

    Pertanyaan

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

    Jawaban

    Restatement for clarity. The second statement rephrases the first.

  40. Kartu 40

    Pertanyaan

    Verb tense across a paragraph?

    Jawaban

    Keep the time frame consistent unless the timing actually changes.

  41. Kartu 41

    Pertanyaan

    Missing information in a data claim?

    Jawaban

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

  42. Kartu 42

    Pertanyaan

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

    Jawaban

    Keep or continue to hold.

  43. Kartu 43

    Pertanyaan

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

    Jawaban

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

  44. Kartu 44

    Pertanyaan

    Coordinate adjectives?

    Jawaban

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

  45. Kartu 45

    Pertanyaan

    Two sources on the same event?

    Jawaban

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

  46. Kartu 46

    Pertanyaan

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

    Jawaban

    Draw out or bring forth.

  47. Kartu 47

    Pertanyaan

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

    Jawaban

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

  48. Kartu 48

    Pertanyaan

    Sentence fragment?

    Jawaban

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

  49. Kartu 49

    Pertanyaan

    Inference from a narrow sample?

    Jawaban

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

  50. Kartu 50

    Pertanyaan

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

    Jawaban

    A limit or restriction.

  51. Kartu 51

    Pertanyaan

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

    Jawaban

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

  52. Kartu 52

    Pertanyaan

    Conjunctive adverb between independent clauses?

    Jawaban

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

  53. Kartu 53

    Pertanyaan

    Most accurate summary?

    Jawaban

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

  54. Kartu 54

    Pertanyaan

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

    Jawaban

    Complete and wide-ranging.

  55. Kartu 55

    Pertanyaan

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

    Jawaban

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

  56. Kartu 56

    Pertanyaan

    Who versus whom?

    Jawaban

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

  57. Kartu 57

    Pertanyaan

    Evidence that best resolves a disagreement?

    Jawaban

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

  58. Kartu 58

    Pertanyaan

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

    Jawaban

    Clearly different or separate.

  59. Kartu 59

    Pertanyaan

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

    Jawaban

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

  60. Kartu 60

    Pertanyaan

    Comma before an introduced direct quotation?

    Jawaban

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

  61. Kartu 61

    Pertanyaan

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

    Jawaban

    Limited or modified, rather than stated without conditions.

  62. Kartu 62

    Pertanyaan

    Notes for a synthesis goal?

    Jawaban

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

  63. Kartu 63

    Pertanyaan

    Comma splice?

    Jawaban

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

  64. Kartu 64

    Pertanyaan

    Comma between subject and verb?

    Jawaban

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

  65. Kartu 65

    Pertanyaan

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

    Jawaban

    No longer useful or current because something newer replaced it.

  66. Kartu 66

    Pertanyaan

    Source attribution in a synthesis?

    Jawaban

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

  67. Kartu 67

    Pertanyaan

    Compound subject joined by “and”?

    Jawaban

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

  68. Kartu 68

    Pertanyaan

    Dangling opening modifier?

    Jawaban

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

  69. Kartu 69

    Pertanyaan

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

    Jawaban

    Obtained from a source or calculation.

  70. Kartu 70

    Pertanyaan

    Chronological synthesis?

    Jawaban

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

  71. Kartu 71

    Pertanyaan

    Plural noun ending in s: possessive form?

    Jawaban

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

  72. Kartu 72

    Pertanyaan

    Logical comparison?

    Jawaban

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

  73. Kartu 73

    Pertanyaan

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

    Jawaban

    Publicly supports or argues for.

  74. Kartu 74

    Pertanyaan

    Compare evidence from two studies?

    Jawaban

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

  75. Kartu 75

    Pertanyaan

    Colon after an incomplete lead-in?

    Jawaban

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

  76. Kartu 76

    Pertanyaan

    Number versus amount?

    Jawaban

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

  77. Kartu 77

    Pertanyaan

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

    Jawaban

    Present or found almost everywhere.

  78. Kartu 78

    Pertanyaan

    Synthesis that emphasizes a difference?

    Jawaban

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

  79. Kartu 79

    Pertanyaan

    Nonessential clause or phrase?

    Jawaban

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

  80. Kartu 80

    Pertanyaan

    Earlier of two past actions?

    Jawaban

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

  81. Kartu 81

    Pertanyaan

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

    Jawaban

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

  82. Kartu 82

    Pertanyaan

    Rhetorical goal: define a term?

    Jawaban

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

  83. Kartu 83

    Pertanyaan

    Cumulative adjectives?

    Jawaban

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

  84. Kartu 84

    Pertanyaan

    Run-on sentence?

    Jawaban

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

  85. Kartu 85

    Pertanyaan

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

    Jawaban

    It illustrates the claim with an example.

  86. Kartu 86

    Pertanyaan

    Introduce a quotation in a synthesis?

    Jawaban

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

  87. Kartu 87

    Pertanyaan

    Relative pronoun for people?

    Jawaban

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

  88. Kartu 88

    Pertanyaan

    Integrated quotation punctuation?

    Jawaban

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

  89. Kartu 89

    Pertanyaan

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

    Jawaban

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

  90. Kartu 90

    Pertanyaan

    Avoid redundancy in synthesis?

    Jawaban

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

  91. Kartu 91

    Pertanyaan

    Semicolon between two independent clauses?

    Jawaban

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

  92. Kartu 92

    Pertanyaan

    Comma in a compound predicate?

    Jawaban

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

  93. Kartu 93

    Pertanyaan

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

    Jawaban

    It defines or clarifies the term.

  94. Kartu 94

    Pertanyaan

    Combine two related sentences?

    Jawaban

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

  95. Kartu 95

    Pertanyaan

    Either/or subject agreement?

    Jawaban

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

  96. Kartu 96

    Pertanyaan

    Active versus passive voice?

    Jawaban

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

  97. Kartu 97

    Pertanyaan

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

    Jawaban

    It presents an effect or consequence.

  98. Kartu 98

    Pertanyaan

    Formal academic register?

    Jawaban

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

  99. Kartu 99

    Pertanyaan

    Its or it's?

    Jawaban

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

  100. Kartu 100

    Pertanyaan

    Adjective versus adverb?

    Jawaban

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

  101. Kartu 101

    Pertanyaan

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

    Jawaban

    To inform or explain, not necessarily to persuade.

  102. Kartu 102

    Pertanyaan

    Concise synthesis?

    Jawaban

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

  103. Kartu 103

    Pertanyaan

    Single dash for emphasis?

    Jawaban

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

  104. Kartu 104

    Pertanyaan

    Comma with direct address?

    Jawaban

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

  105. Kartu 105

    Pertanyaan

    Why acknowledge a limitation?

    Jawaban

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

  106. Kartu 106

    Pertanyaan

    Quantitative comparison in a synthesis?

    Jawaban

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

  107. Kartu 107

    Pertanyaan

    Each of the samples: verb number?

    Jawaban

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

  108. Kartu 108

    Pertanyaan

    Between versus among?

    Jawaban

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

  109. Kartu 109

    Pertanyaan

    Rhetorical question in an argument?

    Jawaban

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

  110. Kartu 110

    Pertanyaan

    Claim before or after support?

    Jawaban

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

  111. Kartu 111

    Pertanyaan

    Restrictive “that” versus nonrestrictive “which”?

    Jawaban

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

  112. Kartu 112

    Pertanyaan

    Present perfect use?

    Jawaban

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

  113. Kartu 113

    Pertanyaan

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

    Jawaban

    They agree in conclusion but support it through different evidence.

  114. Kartu 114

    Pertanyaan

    Group related ideas in a synthesis?

    Jawaban

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

  115. Kartu 115

    Pertanyaan

    Compound modifier before a noun?

    Jawaban

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

  116. Kartu 116

    Pertanyaan

    Affect or effect?

    Jawaban

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

  117. Kartu 117

    Pertanyaan

    Two texts offer incompatible explanations. Relationship?

    Jawaban

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

  118. Kartu 118

    Pertanyaan

    Replace a vague pronoun in synthesis?

    Jawaban

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

  119. Kartu 119

    Pertanyaan

    Comma-separated list?

    Jawaban

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

  120. Kartu 120

    Pertanyaan

    Main clause before a dependent clause?

    Jawaban

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

  121. Kartu 121

    Pertanyaan

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

    Jawaban

    Their perspectives or interpretive frameworks, not the underlying evidence.

  122. Kartu 122

    Pertanyaan

    Independent clauses joined with a coordinating conjunction?

    Jawaban

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

  123. Kartu 123

    Pertanyaan

    Introductory transition?

    Jawaban

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

  124. Kartu 124

    Pertanyaan

    Pronoun–antecedent agreement?

    Jawaban

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

  125. Kartu 125

    Pertanyaan

    Paired em dashes?

    Jawaban

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

  126. Kartu 126

    Pertanyaan

    How does new evidence relate to an earlier claim?

    Jawaban

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

  127. Kartu 127

    Pertanyaan

    Their, there, or they're?

    Jawaban

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

  128. Kartu 128

    Pertanyaan

    Good or well?

    Jawaban

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

  129. Kartu 129

    Pertanyaan

    Appositive naming the same noun?

    Jawaban

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

  130. Kartu 130

    Pertanyaan

    Why use an analogy?

    Jawaban

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

  131. Kartu 131

    Pertanyaan

    Than or then?

    Jawaban

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

  132. Kartu 132

    Pertanyaan

    Hypothetical contrary-to-fact “if” clause?

    Jawaban

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

  133. Kartu 133

    Pertanyaan

    Plural noun with no possession?

    Jawaban

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

  134. Kartu 134

    Pertanyaan

    Neutral, evidence-led wording indicates what tone?

    Jawaban

    Objective. It emphasizes information rather than strong personal judgment.

  135. Kartu 135

    Pertanyaan

    Complex list with internal commas?

    Jawaban

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

  136. Kartu 136

    Pertanyaan

    Ambiguous pronoun?

    Jawaban

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

  137. Kartu 137

    Pertanyaan

    Parentheses around nonessential information?

    Jawaban

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

  138. Kartu 138

    Pertanyaan

    Repeated doubt about the evidence indicates what tone?

    Jawaban

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

  139. Kartu 139

    Pertanyaan

    Superlative comparison?

    Jawaban

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

  140. Kartu 140

    Pertanyaan

    Pronoun after a preposition?

    Jawaban

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

  141. Kartu 141

    Pertanyaan

    Apostrophe in a contraction?

    Jawaban

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

  142. Kartu 142

    Pertanyaan

    Coordinate-adjective test?

    Jawaban

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

  143. Kartu 143

    Pertanyaan

    Double comparative?

    Jawaban

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

  144. Kartu 144

    Pertanyaan

    Lie or lay?

    Jawaban

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

  145. Kartu 145

    Pertanyaan

    Who's or whose?

    Jawaban

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

  146. Kartu 146

    Pertanyaan

    Standard comparison with “different”?

    Jawaban

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

  147. Kartu 147

    Pertanyaan

    Paired construction with two endpoints?

    Jawaban

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

  148. Kartu 148

    Pertanyaan

    Verb mood in a coordinated idea?

    Jawaban

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

  149. Kartu 149

    Pertanyaan

    Possessive pronoun apostrophe?

    Jawaban

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

  150. Kartu 150

    Pertanyaan

    Comma between a preposition and its object?

    Jawaban

    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.

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    Digital SAT Flashcards: Math, Grammar & Words in Context

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  151. Kartu 151

    Pertanyaan

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

    Jawaban

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

  152. Kartu 152

    Pertanyaan

    Product of powers with the same base?

    Jawaban

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

  153. Kartu 153

    Pertanyaan

    Unit rate?

    Jawaban

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

  154. Kartu 154

    Pertanyaan

    Rectangle area?

    Jawaban

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

  155. Kartu 155

    Pertanyaan

    Slope from two points?

    Jawaban

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

  156. Kartu 156

    Pertanyaan

    Quotient of powers with the same base?

    Jawaban

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

  157. Kartu 157

    Pertanyaan

    Conversion factor setup?

    Jawaban

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

  158. Kartu 158

    Pertanyaan

    Triangle area?

    Jawaban

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

  159. Kartu 159

    Pertanyaan

    Slope-intercept form?

    Jawaban

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

  160. Kartu 160

    Pertanyaan

    Power raised to a power?

    Jawaban

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

  161. Kartu 161

    Pertanyaan

    Dimensional analysis check?

    Jawaban

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

  162. Kartu 162

    Pertanyaan

    Trapezoid area?

    Jawaban

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

  163. Kartu 163

    Pertanyaan

    Point-slope form?

    Jawaban

    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. Kartu 164

    Pertanyaan

    Negative exponent?

    Jawaban

    an=1/ana^{-n}=1/a^n for a0a≠0.

  165. Kartu 165

    Pertanyaan

    Constant of proportionality in y=kxy=kx?

    Jawaban

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

  166. Kartu 166

    Pertanyaan

    Circle area?

    Jawaban

    A=πr2A=πr^2.

  167. Kartu 167

    Pertanyaan

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

    Jawaban

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

  168. Kartu 168

    Pertanyaan

    Fractional exponent?

    Jawaban

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

  169. Kartu 169

    Pertanyaan

    Scale drawing length?

    Jawaban

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

  170. Kartu 170

    Pertanyaan

    Circle circumference?

    Jawaban

    C=2πr=πdC=2πr=πd.

  171. Kartu 171

    Pertanyaan

    Parallel nonvertical lines: slope relationship?

    Jawaban

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

  172. Kartu 172

    Pertanyaan

    Difference of squares?

    Jawaban

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

  173. Kartu 173

    Pertanyaan

    Percent change?

    Jawaban

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

  174. Kartu 174

    Pertanyaan

    Arc length from central angle θθ in degrees?

    Jawaban

    L=(θ/360)(2πr)L=(θ/360)(2πr).

  175. Kartu 175

    Pertanyaan

    Perpendicular nonvertical lines: slope relationship?

    Jawaban

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

  176. Kartu 176

    Pertanyaan

    Perfect-square trinomial pattern?

    Jawaban

    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. Kartu 177

    Pertanyaan

    Increase by rr percent: multiplier?

    Jawaban

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

  178. Kartu 178

    Pertanyaan

    Sector area from central angle θθ in degrees?

    Jawaban

    A=(θ/360)(πr2)A=(θ/360)(πr^2).

  179. Kartu 179

    Pertanyaan

    x-intercept of a graph?

    Jawaban

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

  180. Kartu 180

    Pertanyaan

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

    Jawaban

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

  181. Kartu 181

    Pertanyaan

    Original value after a 20 percent increase to 84?

    Jawaban

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

    Pertanyaan

    Triangle interior-angle sum?

    Jawaban

    180°180°.

  183. Kartu 183

    Pertanyaan

    y-intercept of a graph?

    Jawaban

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

  184. Kartu 184

    Pertanyaan

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

    Jawaban

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

  185. Kartu 185

    Pertanyaan

    Weighted average?

    Jawaban

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

  186. Kartu 186

    Pertanyaan

    Exterior angle of a triangle?

    Jawaban

    It equals the sum of the two remote interior angles.

  187. Kartu 187

    Pertanyaan

    Line through two points?

    Jawaban

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

  188. Kartu 188

    Pertanyaan

    Quadratic formula?

    Jawaban

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

  189. Kartu 189

    Pertanyaan

    Arithmetic mean?

    Jawaban

    Add all values and divide by the number of values.

  190. Kartu 190

    Pertanyaan

    Parallel lines cut by a transversal: alternate interior angles?

    Jawaban

    They are congruent.

  191. Kartu 191

    Pertanyaan

    Slope's units in context?

    Jawaban

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

  192. Kartu 192

    Pertanyaan

    What does b24acb^2-4ac tell you?

    Jawaban

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

  193. Kartu 193

    Pertanyaan

    Median?

    Jawaban

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

  194. Kartu 194

    Pertanyaan

    Similar triangles: corresponding sides?

    Jawaban

    They are proportional. Match sides opposite equal angles.

  195. Kartu 195

    Pertanyaan

    Direct variation model?

    Jawaban

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

  196. Kartu 196

    Pertanyaan

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

    Jawaban

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

  197. Kartu 197

    Pertanyaan

    Range of a data set?

    Jawaban

    Maximum minus minimum.

  198. Kartu 198

    Pertanyaan

    Scale factor kk: area factor?

    Jawaban

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

  199. Kartu 199

    Pertanyaan

    Solution of a two-line system?

    Jawaban

    The intersection point, whose coordinates satisfy both equations.

  200. Kartu 200

    Pertanyaan

    Vertex form of a quadratic?

    Jawaban

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

  201. Kartu 201

    Pertanyaan

    Interquartile range?

    Jawaban

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

  202. Kartu 202

    Pertanyaan

    Pythagorean theorem?

    Jawaban

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

  203. Kartu 203

    Pertanyaan

    Substitution in a system?

    Jawaban

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

  204. Kartu 204

    Pertanyaan

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

    Jawaban

    x=hx=h.

  205. Kartu 205

    Pertanyaan

    Larger standard deviation means what?

    Jawaban

    The data are more spread out around the mean.

  206. Kartu 206

    Pertanyaan

    45°-45°-90° side ratio?

    Jawaban

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

  207. Kartu 207

    Pertanyaan

    Elimination in a system?

    Jawaban

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

  208. Kartu 208

    Pertanyaan

    Completing the square?

    Jawaban

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

  209. Kartu 209

    Pertanyaan

    Effect of a high outlier on the mean?

    Jawaban

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

  210. Kartu 210

    Pertanyaan

    30°-60°-90° side ratio?

    Jawaban

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

  211. Kartu 211

    Pertanyaan

    Parallel lines in a system?

    Jawaban

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

  212. Kartu 212

    Pertanyaan

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

    Jawaban

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

  213. Kartu 213

    Pertanyaan

    Add the same constant to every data value: effect?

    Jawaban

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

  214. Kartu 214

    Pertanyaan

    Right-triangle sine?

    Jawaban

    Sine of θθ equals opposite over hypotenuse.

  215. Kartu 215

    Pertanyaan

    Same line written two ways in a system?

    Jawaban

    Infinitely many solutions. Simplifying either equation produces the other.

  216. Kartu 216

    Pertanyaan

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

    Jawaban

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

  217. Kartu 217

    Pertanyaan

    Multiply every data value by positive kk: effect?

    Jawaban

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

  218. Kartu 218

    Pertanyaan

    Right-triangle cosine?

    Jawaban

    Cosine of θθ equals adjacent over hypotenuse.

  219. Kartu 219

    Pertanyaan

    Multiply or divide an inequality by a negative number?

    Jawaban

    Reverse the inequality sign.

  220. Kartu 220

    Pertanyaan

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

    Jawaban

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

  221. Kartu 221

    Pertanyaan

    Joint probability from a two-way table?

    Jawaban

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

  222. Kartu 222

    Pertanyaan

    Right-triangle tangent?

    Jawaban

    Tangent of θθ equals opposite over adjacent.

  223. Kartu 223

    Pertanyaan

    Compound inequality with “and”?

    Jawaban

    Use the intersection: values that satisfy both inequalities.

  224. Kartu 224

    Pertanyaan

    Even degree with positive leading coefficient: end behavior?

    Jawaban

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

  225. Kartu 225

    Pertanyaan

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

    Jawaban

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

  226. Kartu 226

    Pertanyaan

    Complementary acute angles: sine–cosine relationship?

    Jawaban

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

  227. Kartu 227

    Pertanyaan

    Compound inequality with “or”?

    Jawaban

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

  228. Kartu 228

    Pertanyaan

    Odd degree with positive leading coefficient: end behavior?

    Jawaban

    The left end falls and the right end rises.

  229. Kartu 229

    Pertanyaan

    Independent events AA and BB?

    Jawaban

    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. Kartu 230

    Pertanyaan

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

    Jawaban

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

  231. Kartu 231

    Pertanyaan

    Solve xa=b|x-a|=b for b0b≥0.

    Jawaban

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

  232. Kartu 232

    Pertanyaan

    Exponential growth model?

    Jawaban

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

  233. Kartu 233

    Pertanyaan

    Mutually exclusive events?

    Jawaban

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

  234. Kartu 234

    Pertanyaan

    Midpoint of two points?

    Jawaban

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

  235. Kartu 235

    Pertanyaan

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

    Jawaban

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

  236. Kartu 236

    Pertanyaan

    Exponential decay model?

    Jawaban

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

  237. Kartu 237

    Pertanyaan

    Complement rule?

    Jawaban

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

  238. Kartu 238

    Pertanyaan

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

    Jawaban

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

  239. Kartu 239

    Pertanyaan

    Evaluate f(a)f(a)?

    Jawaban

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

  240. Kartu 240

    Pertanyaan

    Growth factor 1.08: percent growth rate?

    Jawaban

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

  241. Kartu 241

    Pertanyaan

    Representative random sample permits what conclusion?

    Jawaban

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

  242. Kartu 242

    Pertanyaan

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

    Jawaban

    r=Rr=√R, provided R>0R>0.

  243. Kartu 243

    Pertanyaan

    Linear table: constant slope check?

    Jawaban

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

  244. Kartu 244

    Pertanyaan

    Decay factor 0.73: percent decrease?

    Jawaban

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

  245. Kartu 245

    Pertanyaan

    Random assignment permits what causal claim?

    Jawaban

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

  246. Kartu 246

    Pertanyaan

    Radius and tangent at the contact point?

    Jawaban

    They are perpendicular.

  247. Kartu 247

    Pertanyaan

    Positive slope means what for a linear function?

    Jawaban

    The output increases as the input increases.

  248. Kartu 248

    Pertanyaan

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

    Jawaban

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

  249. Kartu 249

    Pertanyaan

    Observational study supports causation?

    Jawaban

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

  250. Kartu 250

    Pertanyaan

    Rectangular-prism volume?

    Jawaban

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

  251. Kartu 251

    Pertanyaan

    Arithmetic sequence common difference?

    Jawaban

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

  252. Kartu 252

    Pertanyaan

    Compound interest formula?

    Jawaban

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

  253. Kartu 253

    Pertanyaan

    Larger random sample: effect on margin of error?

    Jawaban

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

  254. Kartu 254

    Pertanyaan

    Cylinder volume?

    Jawaban

    V=πr2hV=πr^2h.

  255. Kartu 255

    Pertanyaan

    Arithmetic sequence nth term?

    Jawaban

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

  256. Kartu 256

    Pertanyaan

    Rational expression: first domain check?

    Jawaban

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

  257. Kartu 257

    Pertanyaan

    Slope of a line of best fit?

    Jawaban

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

  258. Kartu 258

    Pertanyaan

    Cone volume?

    Jawaban

    V=(1/3)πr2hV=(1/3)πr^2h.

  259. Kartu 259

    Pertanyaan

    Solve a literal equation for one variable?

    Jawaban

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

  260. Kartu 260

    Pertanyaan

    Why check rational-equation solutions?

    Jawaban

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

  261. Kartu 261

    Pertanyaan

    Residual?

    Jawaban

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

  262. Kartu 262

    Pertanyaan

    Sphere volume?

    Jawaban

    V=(4/3)πr3V=(4/3)πr^3.

  263. Kartu 263

    Pertanyaan

    Boundary for a two-variable linear inequality?

    Jawaban

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

  264. Kartu 264

    Pertanyaan

    Why check a solution after squaring both sides?

    Jawaban

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

  265. Kartu 265

    Pertanyaan

    Positive correlation?

    Jawaban

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

  266. Kartu 266

    Pertanyaan

    Rectangular-prism surface area?

    Jawaban

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

  267. Kartu 267

    Pertanyaan

    Check a proposed system solution?

    Jawaban

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

  268. Kartu 268

    Pertanyaan

    Simplify 72√72.

    Jawaban

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

  269. Kartu 269

    Pertanyaan

    Extrapolation risk?

    Jawaban

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

  270. Kartu 270

    Pertanyaan

    Area scale factor when lengths double?

    Jawaban

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

    Pertanyaan

    Horizontal line slope?

    Jawaban

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

    Pertanyaan

    Inverse function setup?

    Jawaban

    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. Kartu 273

    Pertanyaan

    Percentage points versus percent change?

    Jawaban

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

  274. Kartu 274

    Pertanyaan

    y-intercept in a context?

    Jawaban

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

  275. Kartu 275

    Pertanyaan

    Quadratic maximum or minimum from vertex form?

    Jawaban

    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. Kartu 276

    Pertanyaan

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

    Jawaban

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

  277. Kartu 277

    Pertanyaan

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

    Jawaban

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

  278. Kartu 278

    Pertanyaan

    Population versus sample?

    Jawaban

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

  279. Kartu 279

    Pertanyaan

    Linear model from initial value bb and rate mm?

    Jawaban

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

  280. Kartu 280

    Pertanyaan

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

    Jawaban

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

  281. Kartu 281

    Pertanyaan

    Density?

    Jawaban

    Mass divided by volume. Keep the units consistent.

  282. Kartu 282

    Pertanyaan

    Vertical line slope?

    Jawaban

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

  283. Kartu 283

    Pertanyaan

    Nonlinear system with one equation solved for yy?

    Jawaban

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

  284. Kartu 284

    Pertanyaan

    Weighted percentage across unequal groups?

    Jawaban

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

  285. Kartu 285

    Pertanyaan

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

    Jawaban

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

  286. Kartu 286

    Pertanyaan

    Cancel a common factor in a rational expression?

    Jawaban

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

  287. Kartu 287

    Pertanyaan

    Solve a linear equation containing fractions?

    Jawaban

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

  288. Kartu 288

    Pertanyaan

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

    Jawaban

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

  289. Kartu 289

    Pertanyaan

    Rate units check?

    Jawaban

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

  290. Kartu 290

    Pertanyaan

    Strict versus inclusive inequality endpoint?

    Jawaban

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

  291. Kartu 291

    Pertanyaan

    Even-multiplicity zero on a graph?

    Jawaban

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

  292. Kartu 292

    Pertanyaan

    System word problem: first setup step?

    Jawaban

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

  293. Kartu 293

    Pertanyaan

    When does a quadratic have exactly one real solution?

    Jawaban

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

  294. Kartu 294

    Pertanyaan

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

    Jawaban

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

  295. Kartu 295

    Pertanyaan

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

    Jawaban

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

  296. Kartu 296

    Pertanyaan

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

    Jawaban

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

  297. Kartu 297

    Pertanyaan

    Three consecutive integers starting with nn?

    Jawaban

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

  298. Kartu 298

    Pertanyaan

    Line–parabola intersections from a substituted quadratic?

    Jawaban

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

  299. Kartu 299

    Pertanyaan

    Linear equation with no solution: coefficient pattern?

    Jawaban

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

  300. Kartu 300

    Pertanyaan

    Zeros of a function on its graph?

    Jawaban

    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 kartu

Digital SAT Flashcards: Math, Grammar & Words in Context

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