Central idea of a passage?

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

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

Reduced. The trees made the heat less severe.

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

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

Three standard joins for two independent clauses?

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

Best supporting detail?

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

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

Confirmed with supporting evidence.

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

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

Introductory dependent clause before a main clause?

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

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

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

Provisional or not yet certain.

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

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

Singular subject with an intervening prepositional phrase?

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

Strongest textual evidence?

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

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

So small that it is not important.

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

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

Opening modifier placement?

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

Quantitative evidence for a claim?

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

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

Traditional or commonly accepted.

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

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

Singular possessive noun?

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

Trend in a table or graph?

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

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

New or original in this context.

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

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

Parallel items in a series?

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

Claim stronger than the evidence?

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

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

Addition. The second statement adds a related supporting point.

Colon before an explanation or list?

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

Claim versus evidence?

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

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

Open to more than one interpretation.

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

Replacement. The second statement substitutes one action for another.

Count nouns versus mass nouns?

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

Effect of a counterexample?

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

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

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

Essential clause punctuation?

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

Correlation alone proves causation?

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

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

Restatement for clarity. The second statement rephrases the first.

Verb tense across a paragraph?

Keep the time frame consistent unless the timing actually changes.

Missing information in a data claim?

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

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

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

Coordinate adjectives?

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

Two sources on the same event?

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

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

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

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

Inference from a narrow sample?

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

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

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

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.

Autors Open Study Contributor

Par šo kavu

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.

Kartītes šajā kavā

1. kartīte
Jautājums
Central idea of a passage?
Atbilde
The passage's main claim or controlling point. It should cover the whole passage, not one striking detail.
2. kartīte
Jautājums
The shade trees mitigated the midday heat. Meaning of “mitigated”?
Atbilde
Reduced. The trees made the heat less severe.
3. kartīte
Jautājums
The first plan was affordable. However, it took twice as long. What relationship does “However” signal?
Atbilde
Contrast. The second statement differs from or qualifies the first.
4. kartīte
Jautājums
Three standard joins for two independent clauses?
Atbilde
A period, a semicolon, or a comma plus a coordinating conjunction. Each side must be a complete sentence.
5. kartīte
Jautājums
Best supporting detail?
Atbilde
The detail that most directly proves the claim. Relevance matters more than how vivid or surprising it is.
6. kartīte
Jautājums
A second archive corroborated the diary's date. Meaning of “corroborated”?
Atbilde
Confirmed with supporting evidence.
7. kartīte
Jautājums
Every member of set A is even. Nine is odd; therefore, nine is not in set A. What relationship does “therefore” signal?
Atbilde
Conclusion from a reason. The final statement follows logically from the stated premises.
8. kartīte
Jautājums
Introductory dependent clause before a main clause?
Atbilde
Use a comma after the dependent clause. Example: “Although rain fell, the match continued.”
9. kartīte
Jautājums
Valid inference?
Atbilde
A conclusion that must follow, or that most reasonably follows, from the stated evidence. Avoid assumptions the text never supports.
10. kartīte
Jautājums
The team called its result tentative until replication. Meaning of “tentative”?
Atbilde
Provisional or not yet certain.
11. kartīte
Jautājums
Several materials block sound. For example, thick felt absorbs echoes. What relationship does “For example” signal?
Atbilde
Illustration. The second statement gives a specific case of the broader point.
12. kartīte
Jautājums
Singular subject with an intervening prepositional phrase?
Atbilde
Use a singular verb. Example: “The box of samples is sealed.” The phrase “of samples” does not change the subject.
13. kartīte
Jautājums
Strongest textual evidence?
Atbilde
The quotation or detail that most directly supports the target claim, with the fewest extra assumptions.
14. kartīte
Jautājums
The error had a negligible effect on the total. Meaning of “negligible”?
Atbilde
So small that it is not important.
15. kartīte
Jautājums
The first route avoids steep hills. Similarly, the second stays nearly level. What relationship does “Similarly” signal?
Atbilde
Similarity. The second statement matches the first in a relevant way.
16. kartīte
Jautājums
Opening modifier placement?
Atbilde
Place the noun being modified immediately after the opening phrase. Example: “Walking home, Lena noticed the mural.”
17. kartīte
Jautājums
Quantitative evidence for a claim?
Atbilde
Use the value, comparison, or trend that directly tests the claim, including the correct units and baseline.
18. kartīte
Jautājums
The lab used a conventional method before testing a new one. Meaning of “conventional”?
Atbilde
Traditional or commonly accepted.
19. kartīte
Jautājums
Mira checked the figures. Meanwhile, Omar revised the caption. What relationship does “Meanwhile” signal?
Atbilde
Simultaneous events. The second event happens at the same time as the first.
20. kartīte
Jautājums
Singular possessive noun?
Atbilde
Usually add apostrophe + s. Example: “the scientist's notebook.”
21. kartīte
Jautājums
Trend in a table or graph?
Atbilde
State what changes, in which direction, and across which interval. Do not turn a pattern into a cause without evidence.
22. kartīte
Jautājums
The essay offered a novel explanation for the pattern. Meaning of “novel”?
Atbilde
New or original in this context.
23. kartīte
Jautājums
The device was old. Nevertheless, it performed reliably. What relationship does “Nevertheless” signal?
Atbilde
Concession. The second statement remains true despite the limitation in the first.
24. kartīte
Jautājums
Parallel items in a series?
Atbilde
Use the same grammatical form for each item. Example: “to collect, analyze, and report data.”
25. kartīte
Jautājums
Claim stronger than the evidence?
Atbilde
Qualify the claim. Limited evidence can support “may” or “suggests,” not an absolute conclusion.
26. kartīte
Jautājums
Her account is plausible because it matches the records. Meaning of “plausible”?
Atbilde
Reasonable or believable.
27. kartīte
Jautājums
The plan cuts costs. Moreover, it shortens delivery time. What relationship does “Moreover” signal?
Atbilde
Addition. The second statement adds a related supporting point.
28. kartīte
Jautājums
Colon before an explanation or list?
Atbilde
Use it only after a complete independent clause. Example: “The kit needs three items: tape, gloves, and labels.”
29. kartīte
Jautājums
Claim versus evidence?
Atbilde
A claim is the point being argued; evidence is the information used to support it.
30. kartīte
Jautājums
The memo's ambiguous wording allowed two readings. Meaning of “ambiguous”?
Atbilde
Open to more than one interpretation.
31. kartīte
Jautājums
The team didn't replace the sensor. Instead, it recalibrated the existing one. What relationship does “Instead” signal?
Atbilde
Replacement. The second statement substitutes one action for another.
32. kartīte
Jautājums
Count nouns versus mass nouns?
Atbilde
Use “fewer” with countable items and “less” with amounts. Example: fewer errors, less noise.
33. kartīte
Jautājums
Effect of a counterexample?
Atbilde
It weakens a universal claim by showing at least one case where the claim fails.
34. kartīte
Jautājums
Rainfall was sporadic: brief showers interrupted long dry periods. Meaning of “sporadic”?
Atbilde
Irregular and occasional.
35. kartīte
Jautājums
The seedlings grew indoors. Subsequently, workers moved them outside. What relationship does “Subsequently” signal?
Atbilde
Later step in a sequence. The second event occurs after the first.
36. kartīte
Jautājums
Essential clause punctuation?
Atbilde
Do not surround an essential clause with commas. It identifies which person or thing the sentence means.
37. kartīte
Jautājums
Correlation alone proves causation?
Atbilde
No. A relationship between variables does not by itself show that one caused the other.
38. kartīte
Jautājums
Subsequent trials produced the same result. Meaning of “subsequent”?
Atbilde
Coming later in time.
39. kartīte
Jautājums
The coating is hydrophobic. In other words, it repels water. What relationship does “In other words” signal?
Atbilde
Restatement for clarity. The second statement rephrases the first.
40. kartīte
Jautājums
Verb tense across a paragraph?
Atbilde
Keep the time frame consistent unless the timing actually changes.
41. kartīte
Jautājums
Missing information in a data claim?
Atbilde
Look for the baseline, sample size, units, comparison group, or time interval needed to judge the claim.
42. kartīte
Jautājums
The coating helps the fabric retain heat. Meaning of “retain”?
Atbilde
Keep or continue to hold.
43. kartīte
Jautājums
The repair requires specialized tools. Specifically, it needs a torque wrench. What relationship does “Specifically” signal?
Atbilde
General-to-specific detail. The second statement narrows the broad first statement.
44. kartīte
Jautājums
Coordinate adjectives?
Atbilde
Separate them with a comma when their order can switch and “and” can fit between them. Example: “a clear, concise note.”
45. kartīte
Jautājums
Two sources on the same event?
Atbilde
Compare the exact claims, evidence, scope, and perspective. Shared topic does not guarantee agreement.
46. kartīte
Jautājums
The survey was designed to elicit candid responses. Meaning of “elicit”?
Atbilde
Draw out or bring forth.
47. kartīte
Jautājums
Heavy rain loosened the soil. Consequently, the trail closed. What relationship does “Consequently” signal?
Atbilde
Cause and effect. The second statement is an outcome of the first.
48. kartīte
Jautājums
Sentence fragment?
Atbilde
A group of words missing an independent clause. Attach it to a complete sentence or supply the missing subject and verb.
49. kartīte
Jautājums
Inference from a narrow sample?
Atbilde
Limit the conclusion to the population the sample can represent. Do not generalize beyond the evidence.
50. kartīte
Jautājums
Cost was the main constraint on the project. Meaning of “constraint”?
Atbilde
A limit or restriction.
51. kartīte
Jautājums
Early results conflicted. Ultimately, the team accepted the model. What relationship does “Ultimately” signal?
Atbilde
Overall conclusion. The second statement gives the final judgment after earlier considerations.
52. kartīte
Jautājums
Conjunctive adverb between independent clauses?
Atbilde
Use a semicolon before it and a comma after it. Example: “The route was longer; however, it was safer.”
53. kartīte
Jautājums
Most accurate summary?
Atbilde
State the central idea and its essential support without adding opinions or minor details.
54. kartīte
Jautājums
The review was comprehensive, covering every recorded case. Meaning of “comprehensive”?
Atbilde
Complete and wide-ranging.
55. kartīte
Jautājums
The method is efficient. Indeed, it cuts processing time in half. What relationship does “Indeed” signal?
Atbilde
Emphasis and confirmation. The second statement reinforces the first with a stronger detail.
56. kartīte
Jautājums
Who versus whom?
Atbilde
Use “who” as a subject and “whom” as an object. Test with he/him: “whom” matches “him.”
57. kartīte
Jautājums
Evidence that best resolves a disagreement?
Atbilde
Choose evidence that tests the specific point on which the sources differ, not a fact both already accept.
58. kartīte
Jautājums
The two materials have distinct properties. Meaning of “distinct”?
Atbilde
Clearly different or separate.
59. kartīte
Jautājums
The forecast warned of rain. Still, the outdoor concert began on time. What relationship does “Still” signal?
Atbilde
Concession. The second statement remains true despite the obstacle in the first.
60. kartīte
Jautājums
Comma before an introduced direct quotation?
Atbilde
Use a comma after a speech tag. Example: “Mina wrote, ‘The sample is ready.’”
61. kartīte
Jautājums
The conclusion was qualified by two important exceptions. Meaning of “qualified”?
Atbilde
Limited or modified, rather than stated without conditions.
62. kartīte
Jautājums
Notes for a synthesis goal?
Atbilde
Use only facts that directly serve the stated goal. Relevant notes can be omitted if they do not help that purpose.
63. kartīte
Jautājums
Comma splice?
Atbilde
Two independent clauses joined only by a comma. Replace it with a period or semicolon, or add a coordinating conjunction.
64. kartīte
Jautājums
Comma between subject and verb?
Atbilde
Do not use one unless an interrupting phrase requires paired commas. “The results of the trial were clear” takes no comma after “trial.”
65. kartīte
Jautājums
The new sensor made the older model obsolete. Meaning of “obsolete”?
Atbilde
No longer useful or current because something newer replaced it.
66. kartīte
Jautājums
Source attribution in a synthesis?
Atbilde
Name the source when its identity, authority, or perspective matters to the rhetorical goal.
67. kartīte
Jautājums
Compound subject joined by “and”?
Atbilde
Use a plural verb in the usual case. Example: “The map and the notes are useful.”
68. kartīte
Jautājums
Dangling opening modifier?
Atbilde
It lacks the intended doer immediately after the modifier. Rewrite so the doer becomes the subject.
69. kartīte
Jautājums
Researchers derived the estimate from three measurements. Meaning of “derived”?
Atbilde
Obtained from a source or calculation.
70. kartīte
Jautājums
Chronological synthesis?
Atbilde
Order events by time and use dates or sequence words only when they help the reader follow the progression.
71. kartīte
Jautājums
Plural noun ending in s: possessive form?
Atbilde
Add an apostrophe after the existing s. Example: “the researchers' notes.”
72. kartīte
Jautājums
Logical comparison?
Atbilde
Compare like with like. Example: compare one city's rainfall with another city's rainfall, not with the city itself.
73. kartīte
Jautājums
The article advocates preserving the wetland. Meaning of “advocates”?
Atbilde
Publicly supports or argues for.
74. kartīte
Jautājums
Compare evidence from two studies?
Atbilde
State the shared measure first, then the relevant difference in result, method, or population.
75. kartīte
Jautājums
Colon after an incomplete lead-in?
Atbilde
Do not use one. A colon must follow a complete clause, so “The reasons include:” is incorrect.
76. kartīte
Jautājums
Number versus amount?
Atbilde
Use “number” for countable items and “amount” for uncountable quantities. Example: number of files, amount of water.
77. kartīte
Jautājums
Portable chargers are now ubiquitous on long trips. Meaning of “ubiquitous”?
Atbilde
Present or found almost everywhere.
78. kartīte
Jautājums
Synthesis that emphasizes a difference?
Atbilde
Use the same comparison point for both subjects, then state the contrast directly.
79. kartīte
Jautājums
Nonessential clause or phrase?
Atbilde
Set it off with paired commas. The sentence should keep its core identity and meaning when the phrase is removed.
80. kartīte
Jautājums
Earlier of two past actions?
Atbilde
Use past perfect when the sequence needs clarification. Example: “The team had left before the storm began.”
81. kartīte
Jautājums
Sentence 2 presents an exception to sentence 1. Its function?
Atbilde
It qualifies the first claim by limiting when or how broadly it applies.
82. kartīte
Jautājums
Rhetorical goal: define a term?
Atbilde
Give the term's relevant meaning before using details or examples that depend on it.
83. kartīte
Jautājums
Cumulative adjectives?
Atbilde
Do not separate them with a comma when each adjective builds on the next. Example: “three small glass jars.”
84. kartīte
Jautājums
Run-on sentence?
Atbilde
Independent clauses joined without valid punctuation or a conjunction. Add a period, semicolon, or comma plus coordinating conjunction.
85. kartīte
Jautājums
Sentence 2 gives a specific case after a general claim. Its function?
Atbilde
It illustrates the claim with an example.
86. kartīte
Jautājums
Introduce a quotation in a synthesis?
Atbilde
Give enough source and context to show why the quotation matters; do not leave it unattached.
87. kartīte
Jautājums
Relative pronoun for people?
Atbilde
Use “who” or “whom,” depending on case. Example: “the engineer who designed the bridge.”
88. kartīte
Jautājums
Integrated quotation punctuation?
Atbilde
Do not add a comma when the quotation completes the grammar of the sentence. Example: The report calls the result “unexpected.”
89. kartīte
Jautājums
Sentence 2 admits a limitation before defending the claim. Its function?
Atbilde
It makes a concession, showing that the writer recognizes a complication.
90. kartīte
Jautājums
Avoid redundancy in synthesis?
Atbilde
State each needed idea once. Prefer the version that preserves meaning with fewer repeated words.
91. kartīte
Jautājums
Semicolon between two independent clauses?
Atbilde
Use it without a coordinating conjunction when the ideas are closely related. Example: “The trial ended; the analysis began.”
92. kartīte
Jautājums
Comma in a compound predicate?
Atbilde
Usually omit it when one subject performs both actions. Example: “The team collected the samples and recorded the temperature.”
93. kartīte
Jautājums
Sentence 2 explains what a technical term means. Its function?
Atbilde
It defines or clarifies the term.
94. kartīte
Jautājums
Combine two related sentences?
Atbilde
Make the logical relationship explicit and remove repeated material without changing the facts.
95. kartīte
Jautājums
Either/or subject agreement?
Atbilde
Make the verb agree with the nearer subject. Example: “Either the notes or the map is missing.”
96. kartīte
Jautājums
Active versus passive voice?
Atbilde
Choose the voice that fits the focus. Active highlights the doer; passive can highlight the action or receiver.
97. kartīte
Jautājums
Sentence 2 describes the outcome of sentence 1. Its function?
Atbilde
It presents an effect or consequence.
98. kartīte
Jautājums
Formal academic register?
Atbilde
Use precise, neutral wording and avoid slang, vague intensifiers, and chatty asides unless the goal calls for them.
99. kartīte
Jautājums
Its or it's?
Atbilde
“Its” is possessive; “it's” means “it is” or “it has.”
100. kartīte
Jautājums
Adjective versus adverb?
Atbilde
An adjective modifies a noun; an adverb usually modifies a verb, adjective, or adverb. Example: a careful test; test carefully.
101. kartīte
Jautājums
A study reports a result without arguing for a policy. Author's purpose?
Atbilde
To inform or explain, not necessarily to persuade.
102. kartīte
Jautājums
Concise synthesis?
Atbilde
Keep every fact needed for the rhetorical goal and remove details that repeat or distract from it.
103. kartīte
Jautājums
Single dash for emphasis?
Atbilde
Use it after a complete thought to spotlight a final explanation or turn. Example: “One result stood out—the oldest sample.”
104. kartīte
Jautājums
Comma with direct address?
Atbilde
Set off the person being addressed. Example: “Rina, please check the units.”
105. kartīte
Jautājums
Why acknowledge a limitation?
Atbilde
To define the claim's boundary and show how the evidence should be interpreted.
106. kartīte
Jautājums
Quantitative comparison in a synthesis?
Atbilde
Name both values, the shared unit, and the direction or size of the difference.
107. kartīte
Jautājums
Each of the samples: verb number?
Atbilde
Singular. “Each of the samples was labeled.” The subject is “each.”
108. kartīte
Jautājums
Between versus among?
Atbilde
Use “between” for distinct individual relationships and “among” for a group without separate pairings.
109. kartīte
Jautājums
Rhetorical question in an argument?
Atbilde
It can frame the issue or prompt the reader to consider an implied answer; it is not evidence by itself.
110. kartīte
Jautājums
Claim before or after support?
Atbilde
Place it where the rhetorical goal is clearest: before evidence for a direct point, or after evidence for an evidence-led conclusion.
111. kartīte
Jautājums
Restrictive “that” versus nonrestrictive “which”?
Atbilde
Use “that” without commas for essential information; use “which” with commas for removable information.
112. kartīte
Jautājums
Present perfect use?
Atbilde
Use it for an action connected to the present or continuing to now. Example: “The team has tracked rainfall since May.”
113. kartīte
Jautājums
Two texts reach the same conclusion with different evidence. Relationship?
Atbilde
They agree in conclusion but support it through different evidence.
114. kartīte
Jautājums
Group related ideas in a synthesis?
Atbilde
Keep facts serving the same point together, then signal the move to a new point.
115. kartīte
Jautājums
Compound modifier before a noun?
Atbilde
Hyphenate it when needed for clarity. Example: “a well-designed study.”
116. kartīte
Jautājums
Affect or effect?
Atbilde
“Affect” is usually a verb meaning influence; “effect” is usually a noun meaning result.
117. kartīte
Jautājums
Two texts offer incompatible explanations. Relationship?
Atbilde
They disagree about the cause or interpretation, even if they share the same observations.
118. kartīte
Jautājums
Replace a vague pronoun in synthesis?
Atbilde
Use the precise noun when two or more possible antecedents could confuse the reader.
119. kartīte
Jautājums
Comma-separated list?
Atbilde
Use commas between three or more parallel items. A final serial comma can prevent ambiguity.
120. kartīte
Jautājums
Main clause before a dependent clause?
Atbilde
Usually no comma when the dependent clause is essential. Example: “The match continued although rain fell.”
121. kartīte
Jautājums
Two authors use the same evidence but different assumptions. Key difference?
Atbilde
Their perspectives or interpretive frameworks, not the underlying evidence.
122. kartīte
Jautājums
Independent clauses joined with a coordinating conjunction?
Atbilde
Place a comma before the conjunction. Example: “The sensor failed, so the team repeated the trial.”
123. kartīte
Jautājums
Introductory transition?
Atbilde
Follow it with a comma when it modifies the whole sentence. Example: “However, the second trial succeeded.”
124. kartīte
Jautājums
Pronoun–antecedent agreement?
Atbilde
Match number and make the reference clear. Singular “they” is standard when a person's gender is unknown or irrelevant.
125. kartīte
Jautājums
Paired em dashes?
Atbilde
Use them to set off an emphatic interruption. Both dashes are needed when the sentence continues after it.
126. kartīte
Jautājums
How does new evidence relate to an earlier claim?
Atbilde
It may support, weaken, qualify, or leave the claim unchanged. Match the evidence to the exact claim.
127. kartīte
Jautājums
Their, there, or they're?
Atbilde
“Their” is possessive, “there” refers to place or existence, and “they're” means “they are.”
128. kartīte
Jautājums
Good or well?
Atbilde
“Good” is usually an adjective; “well” is usually an adverb. A person can feel good and perform well.
129. kartīte
Jautājums
Appositive naming the same noun?
Atbilde
Set a nonessential appositive off with commas. Example: “Dr. Rao, the lead author, presented the findings.”
130. kartīte
Jautājums
Why use an analogy?
Atbilde
To clarify an unfamiliar idea through a relevant similarity to something more familiar.
131. kartīte
Jautājums
Than or then?
Atbilde
“Than” makes a comparison; “then” refers to time or consequence.
132. kartīte
Jautājums
Hypothetical contrary-to-fact “if” clause?
Atbilde
Use subjunctive “were.” Example: “If the sample were larger, the estimate would be steadier.”
133. kartīte
Jautājums
Plural noun with no possession?
Atbilde
Do not add an apostrophe. Write “three sensors,” not “three sensor's.”
134. kartīte
Jautājums
Neutral, evidence-led wording indicates what tone?
Atbilde
Objective. It emphasizes information rather than strong personal judgment.
135. kartīte
Jautājums
Complex list with internal commas?
Atbilde
Use semicolons between the main items. Example: “Lima, Peru; Accra, Ghana; and Hanoi, Vietnam.”
136. kartīte
Jautājums
Ambiguous pronoun?
Atbilde
A pronoun with more than one plausible antecedent. Replace it with the intended noun.
137. kartīte
Jautājums
Parentheses around nonessential information?
Atbilde
Use them for an aside that is less central than the main sentence. The sentence must remain grammatical without it.
138. kartīte
Jautājums
Repeated doubt about the evidence indicates what tone?
Atbilde
Skeptical. The writer questions whether a claim is adequately supported.
139. kartīte
Jautājums
Superlative comparison?
Atbilde
Use it for one member against a group of three or more. Example: “the fastest of the four methods.”
140. kartīte
Jautājums
Pronoun after a preposition?
Atbilde
Use the object form. Write “between you and me,” not “between you and I.”
141. kartīte
Jautājums
Apostrophe in a contraction?
Atbilde
It marks omitted letters. Example: “can't” contracts “cannot,” and “they're” contracts “they are.”
142. kartīte
Jautājums
Coordinate-adjective test?
Atbilde
If “and” works between the adjectives and their order can reverse, use a comma between them.
143. kartīte
Jautājums
Double comparative?
Atbilde
Use only one comparative marker. Write “more efficient” or “faster,” not “more faster.”
144. kartīte
Jautājums
Lie or lay?
Atbilde
“Lie” means recline and takes no object; “lay” means place and takes an object. Present: lie/lay; past: lay/laid.
145. kartīte
Jautājums
Who's or whose?
Atbilde
“Who's” means “who is” or “who has”; “whose” is possessive.
146. kartīte
Jautājums
Standard comparison with “different”?
Atbilde
Use “different from.” Example: “This result is different from the earlier estimate.”
147. kartīte
Jautājums
Paired construction with two endpoints?
Atbilde
Use “between” with “and”: “between 10 and 15,” not “between 10 to 15.”
148. kartīte
Jautājums
Verb mood in a coordinated idea?
Atbilde
Keep the mood consistent unless the meaning changes. Do not shift from a command to a statement without reason.
149. kartīte
Jautājums
Possessive pronoun apostrophe?
Atbilde
Do not use one. Write “hers,” “ours,” “yours,” and “theirs.”
150. kartīte
Jautājums
Comma between a preposition and its object?
Atbilde
Do not use one. Keep the prepositional phrase intact: “in the final report,” not “in, the final report.”
300 kartīšu
Digital SAT Flashcards: Math, Grammar & Words in Context
Mācies šo kavu bez maksas
Atvērsies Nibomo, lai vari sākt mācīties.
151. kartīte
Jautājums
Solve $ax+b=c$ for $x$ , where $a≠0$ .
Atbilde
$x=(c-b)/a$ . Subtract $b$ first, then divide by $a$ .
152. kartīte
Jautājums
Product of powers with the same base?
Atbilde
$a^m a^n=a^{m+n}$ . Keep the base and add the exponents.
153. kartīte
Jautājums
Unit rate?
Atbilde
The amount per 1 unit. Divide both quantities by the same value so the denominator becomes 1.
154. kartīte
Jautājums
Rectangle area?
Atbilde
$A=lw$ , where $l$ is length and $w$ is width.
155. kartīte
Jautājums
Slope from two points?
Atbilde
$m=(y_2-y_1)/(x_2-x_1)$ . Subtract coordinates in the same order.
156. kartīte
Jautājums
Quotient of powers with the same base?
Atbilde
$a^m/a^n=a^{m-n}$ for $a≠0$ .
157. kartīte
Jautājums
Conversion factor setup?
Atbilde
Multiply by a ratio equal to 1, with the unwanted unit placed to cancel.
158. kartīte
Jautājums
Triangle area?
Atbilde
$A=(1/2)bh$ . The height must be perpendicular to the chosen base.
159. kartīte
Jautājums
Slope-intercept form?
Atbilde
$y=mx+b$ , where $m$ is the slope and $b$ is the y-intercept.
160. kartīte
Jautājums
Power raised to a power?
Atbilde
$(a^m)^n=a^{mn}$ . Multiply the exponents.
161. kartīte
Jautājums
Dimensional analysis check?
Atbilde
Cancel units algebraically. The units left at the end should match the quantity requested.
162. kartīte
Jautājums
Trapezoid area?
Atbilde
$A=(1/2)(b_1+b_2)h$ . The height is perpendicular to the parallel bases.
163. kartīte
Jautājums
Point-slope form?
Atbilde
$y-y_1=m(x-x_1)$ . Use a known point $(x_1,y_1)$ and the slope $m$ .
164. kartīte
Jautājums
Negative exponent?
Atbilde
$a^{-n}=1/a^n$ for $a≠0$ .
165. kartīte
Jautājums
Constant of proportionality in $y=kx$ ?
Atbilde
$k=y/x$ for $x≠0$ . It is also the unit rate and slope.
166. kartīte
Jautājums
Circle area?
Atbilde
$A=πr^2$ .
167. kartīte
Jautājums
Intercepts from $Ax+By=C$ ?
Atbilde
Set $y=0$ for the x-intercept and set $x=0$ for the y-intercept.
168. kartīte
Jautājums
Fractional exponent?
Atbilde
$a^{m/n}$ means the nth root of $a^m$ . For example, $a^{1/2}=√a$ .
169. kartīte
Jautājums
Scale drawing length?
Atbilde
Use a proportion with corresponding lengths in the same order, then apply the stated scale factor.
170. kartīte
Jautājums
Circle circumference?
Atbilde
$C=2πr=πd$ .
171. kartīte
Jautājums
Parallel nonvertical lines: slope relationship?
Atbilde
They have equal slopes. Distinct parallel lines have different intercepts.
172. kartīte
Jautājums
Difference of squares?
Atbilde
$a^2-b^2=(a-b)(a+b)$ .
173. kartīte
Jautājums
Percent change?
Atbilde
New minus original, divided by the original, then multiplied by 100 percent. The original value is the denominator.
174. kartīte
Jautājums
Arc length from central angle $θ$ in degrees?
Atbilde
$L=(θ/360)(2πr)$ .
175. kartīte
Jautājums
Perpendicular nonvertical lines: slope relationship?
Atbilde
Their slopes are negative reciprocals, so $m_1m_2=-1$ .
176. kartīte
Jautājums
Perfect-square trinomial pattern?
Atbilde
$a^2+2ab+b^2=(a+b)^2$ and $a^2-2ab+b^2=(a-b)^2$ .
177. kartīte
Jautājums
Increase by $r$ percent: multiplier?
Atbilde
$1+r/100$ . Multiply the original value by this factor.
178. kartīte
Jautājums
Sector area from central angle $θ$ in degrees?
Atbilde
$A=(θ/360)(πr^2)$ .
179. kartīte
Jautājums
x-intercept of a graph?
Atbilde
A point where $y=0$ and the graph meets the x-axis.
180. kartīte
Jautājums
First step in factoring $ax^2+bx+c$ ?
Atbilde
Look for common factors and two binomials whose product reproduces the middle and constant terms.
181. kartīte
Jautājums
Original value after a 20 percent increase to 84?
Atbilde
Divide the final value by the multiplier: $84/1.20=70$.
182. kartīte
Jautājums
Triangle interior-angle sum?
Atbilde
$180°$ .
183. kartīte
Jautājums
y-intercept of a graph?
Atbilde
A point where $x=0$ and the graph meets the y-axis.
184. kartīte
Jautājums
Roots from $(x-p)(x-q)=0$ ?
Atbilde
$x=p$ or $x=q$ , by the zero-product property.
185. kartīte
Jautājums
Weighted average?
Atbilde
Sum of each value times its weight, divided by the sum of the weights. Do not take a simple average of unequal groups.
186. kartīte
Jautājums
Exterior angle of a triangle?
Atbilde
It equals the sum of the two remote interior angles.
187. kartīte
Jautājums
Line through two points?
Atbilde
Find the slope, then substitute either point into point-slope or slope-intercept form.
188. kartīte
Jautājums
Quadratic formula?
Atbilde
$x=(-b±√(b^2-4ac))/(2a)$ for $ax^2+bx+c=0$ .
189. kartīte
Jautājums
Arithmetic mean?
Atbilde
Add all values and divide by the number of values.
190. kartīte
Jautājums
Parallel lines cut by a transversal: alternate interior angles?
Atbilde
They are congruent.
191. kartīte
Jautājums
Slope's units in context?
Atbilde
Output units per input unit. In $y$ versus $x$ , slope units are y-units divided by x-units.
192. kartīte
Jautājums
What does $b^2-4ac$ tell you?
Atbilde
The number of real solutions: positive gives two, zero gives one, and negative gives none.
193. kartīte
Jautājums
Median?
Atbilde
The middle value after ordering the data; for an even count, average the two middle values.
194. kartīte
Jautājums
Similar triangles: corresponding sides?
Atbilde
They are proportional. Match sides opposite equal angles.
195. kartīte
Jautājums
Direct variation model?
Atbilde
$y=kx$ . It is linear and passes through the origin.
196. kartīte
Jautājums
Vertex x-coordinate of $ax^2+bx+c$ ?
Atbilde
$x=-b/(2a)$ .
197. kartīte
Jautājums
Range of a data set?
Atbilde
Maximum minus minimum.
198. kartīte
Jautājums
Scale factor $k$ : area factor?
Atbilde
$k^2$ . Lengths scale by $k$ , while areas scale by the square of $k$ .
199. kartīte
Jautājums
Solution of a two-line system?
Atbilde
The intersection point, whose coordinates satisfy both equations.
200. kartīte
Jautājums
Vertex form of a quadratic?
Atbilde
$y=a(x-h)^2+k$ , with vertex $(h,k)$ .
201. kartīte
Jautājums
Interquartile range?
Atbilde
$IQR=Q_3-Q_1$ . It measures the spread of the middle half of the data.
202. kartīte
Jautājums
Pythagorean theorem?
Atbilde
$a^2+b^2=c^2$ for a right triangle, where $c$ is the hypotenuse.
203. kartīte
Jautājums
Substitution in a system?
Atbilde
Solve one equation for a variable and replace that variable in the other equation.
204. kartīte
Jautājums
Axis of symmetry of $y=a(x-h)^2+k$ ?
Atbilde
$x=h$ .
205. kartīte
Jautājums
Larger standard deviation means what?
Atbilde
The data are more spread out around the mean.
206. kartīte
Jautājums
45°-45°-90° side ratio?
Atbilde
$1:1:√2$ . The hypotenuse is a leg times $√2$ .
207. kartīte
Jautājums
Elimination in a system?
Atbilde
Add or subtract equations so one variable cancels, then solve for the other.
208. kartīte
Jautājums
Completing the square?
Atbilde
For $x^2+bx$ , add $(b/2)^2$ to form $(x+b/2)^2$ .
209. kartīte
Jautājums
Effect of a high outlier on the mean?
Atbilde
It usually pulls the mean upward. The median is often less affected.
210. kartīte
Jautājums
30°-60°-90° side ratio?
Atbilde
$1:√3:2$ , opposite $30°$ , $60°$ , and $90°$ respectively.
211. kartīte
Jautājums
Parallel lines in a system?
Atbilde
No solution when they are distinct: equal slopes and different intercepts.
212. kartīte
Jautājums
Sum and product of roots of $ax^2+bx+c=0$ ?
Atbilde
Sum $=-b/a$ and product $=c/a$ .
213. kartīte
Jautājums
Add the same constant to every data value: effect?
Atbilde
The mean and median increase by that constant; measures of spread stay unchanged.
214. kartīte
Jautājums
Right-triangle sine?
Atbilde
Sine of $θ$ equals opposite over hypotenuse.
215. kartīte
Jautājums
Same line written two ways in a system?
Atbilde
Infinitely many solutions. Simplifying either equation produces the other.
216. kartīte
Jautājums
Remainder when $P(x)$ is divided by $x-a$ ?
Atbilde
$P(a)$ , by the Remainder Theorem.
217. kartīte
Jautājums
Multiply every data value by positive $k$ : effect?
Atbilde
The mean, median, range, IQR, and standard deviation are all multiplied by $k$ .
218. kartīte
Jautājums
Right-triangle cosine?
Atbilde
Cosine of $θ$ equals adjacent over hypotenuse.
219. kartīte
Jautājums
Multiply or divide an inequality by a negative number?
Atbilde
Reverse the inequality sign.
220. kartīte
Jautājums
When is $x-a$ a factor of $P(x)$ ?
Atbilde
When $P(a)=0$ , by the Factor Theorem.
221. kartīte
Jautājums
Joint probability from a two-way table?
Atbilde
Divide the count in the intersection cell by the grand total.
222. kartīte
Jautājums
Right-triangle tangent?
Atbilde
Tangent of $θ$ equals opposite over adjacent.
223. kartīte
Jautājums
Compound inequality with “and”?
Atbilde
Use the intersection: values that satisfy both inequalities.
224. kartīte
Jautājums
Even degree with positive leading coefficient: end behavior?
Atbilde
Both ends rise: $P(x)→∞$ as $x→±∞$ .
225. kartīte
Jautājums
Conditional probability $P(A|B)$ ?
Atbilde
$P(A∩B)/P(B)$ . Restrict the denominator to outcomes in $B$ .
226. kartīte
Jautājums
Complementary acute angles: sine–cosine relationship?
Atbilde
The sine of $θ$ equals the cosine of $90°-θ$ .
227. kartīte
Jautājums
Compound inequality with “or”?
Atbilde
Use the union: values that satisfy at least one inequality.
228. kartīte
Jautājums
Odd degree with positive leading coefficient: end behavior?
Atbilde
The left end falls and the right end rises.
229. kartīte
Jautājums
Independent events $A$ and $B$ ?
Atbilde
$P(A∩B)=P(A)P(B)$ . Knowing one occurred does not change the probability of the other.
230. kartīte
Jautājums
Distance between $(x_1,y_1)$ and $(x_2,y_2)$ ?
Atbilde
$√((x_2-x_1)^2+(y_2-y_1)^2)$ .
231. kartīte
Jautājums
Solve $|x-a|=b$ for $b≥0$ .
Atbilde
$x-a=b$ or $x-a=-b$ . Absolute value represents distance from $a$ .
232. kartīte
Jautājums
Exponential growth model?
Atbilde
$y=a(1+r)^t$ , where $a$ is the initial value and $r$ is the growth rate per period.
233. kartīte
Jautājums
Mutually exclusive events?
Atbilde
They cannot occur together, so $P(A∪B)=P(A)+P(B)$ .
234. kartīte
Jautājums
Midpoint of two points?
Atbilde
$((x_1+x_2)/2,(y_1+y_2)/2)$ .
235. kartīte
Jautājums
Solve $|x-a|<b$ for $b>0$ .
Atbilde
$a-b<x<a+b$ . The solution lies within distance $b$ of $a$ .
236. kartīte
Jautājums
Exponential decay model?
Atbilde
$y=a(1-r)^t$ , where $0<r<1$ is the decay rate per period.
237. kartīte
Jautājums
Complement rule?
Atbilde
The probability that $A$ does not occur is $1-P(A)$ .
238. kartīte
Jautājums
Circle with center $(h,k)$ and radius $r$ ?
Atbilde
$(x-h)^2+(y-k)^2=r^2$ .
239. kartīte
Jautājums
Evaluate $f(a)$ ?
Atbilde
Substitute $a$ for every input variable in the function rule, then simplify.
240. kartīte
Jautājums
Growth factor 1.08: percent growth rate?
Atbilde
8 percent. Subtract 1 and convert the decimal to a percent.
241. kartīte
Jautājums
Representative random sample permits what conclusion?
Atbilde
A cautious generalization from the sample to the population it represents.
242. kartīte
Jautājums
Radius from $(x-h)^2+(y-k)^2=R$ ?
Atbilde
$r=√R$ , provided $R>0$ .
243. kartīte
Jautājums
Linear table: constant slope check?
Atbilde
Equal changes in $x$ must produce equal changes in $y$ ; compare $Δy/Δx$ across intervals.
244. kartīte
Jautājums
Decay factor 0.73: percent decrease?
Atbilde
27 percent. Compute $1-0.73=0.27$ .
245. kartīte
Jautājums
Random assignment permits what causal claim?
Atbilde
If the experiment is well controlled, differences between treatment groups can support a causal conclusion.
246. kartīte
Jautājums
Radius and tangent at the contact point?
Atbilde
They are perpendicular.
247. kartīte
Jautājums
Positive slope means what for a linear function?
Atbilde
The output increases as the input increases.
248. kartīte
Jautājums
Solve $3^{2x}=3^{10}$ .
Atbilde
$x=5$ . Equal positive bases other than 1 have equal exponents.
249. kartīte
Jautājums
Observational study supports causation?
Atbilde
No. It can show association, but uncontrolled confounding variables may explain the pattern.
250. kartīte
Jautājums
Rectangular-prism volume?
Atbilde
$V=lwh$ , or base area times height.
251. kartīte
Jautājums
Arithmetic sequence common difference?
Atbilde
Subtract consecutive terms: $d=a_n-a_{n-1}$ .
252. kartīte
Jautājums
Compound interest formula?
Atbilde
$A=P(1+r/n)^{nt}$ , where $n$ is the number of compounding periods per year.
253. kartīte
Jautājums
Larger random sample: effect on margin of error?
Atbilde
It generally decreases the margin of error when the sampling method stays sound.
254. kartīte
Jautājums
Cylinder volume?
Atbilde
$V=πr^2h$ .
255. kartīte
Jautājums
Arithmetic sequence nth term?
Atbilde
$a_n=a_1+(n-1)d$ .
256. kartīte
Jautājums
Rational expression: first domain check?
Atbilde
Exclude values that make any original denominator zero, even if a factor later cancels.
257. kartīte
Jautājums
Slope of a line of best fit?
Atbilde
The predicted change in the response variable for each 1-unit increase in the explanatory variable.
258. kartīte
Jautājums
Cone volume?
Atbilde
$V=(1/3)πr^2h$ .
259. kartīte
Jautājums
Solve a literal equation for one variable?
Atbilde
Treat the other symbols as constants and use inverse operations to isolate the target variable.
260. kartīte
Jautājums
Why check rational-equation solutions?
Atbilde
Clearing denominators can produce a value excluded from the original equation. Reject any value that makes an original denominator zero.
261. kartīte
Jautājums
Residual?
Atbilde
Actual value minus predicted value. A positive residual means the point lies above the model.
262. kartīte
Jautājums
Sphere volume?
Atbilde
$V=(4/3)πr^3$ .
263. kartīte
Jautājums
Boundary for a two-variable linear inequality?
Atbilde
Replace the inequality with equality to draw the boundary line, then test a point for the shaded side.
264. kartīte
Jautājums
Why check a solution after squaring both sides?
Atbilde
Squaring can introduce an extraneous solution. Substitute each candidate into the original radical equation.
265. kartīte
Jautājums
Positive correlation?
Atbilde
Larger values of one variable tend to occur with larger values of the other. It does not prove causation.
266. kartīte
Jautājums
Rectangular-prism surface area?
Atbilde
$SA=2(lw+lh+wh)$ .
267. kartīte
Jautājums
Check a proposed system solution?
Atbilde
Substitute the ordered pair into both original equations. It must make both true.
268. kartīte
Jautājums
Simplify $√72$ .
Atbilde
$6√2$ . Factor $72=36×2$ and take $√36$ outside the radical.
269. kartīte
Jautājums
Extrapolation risk?
Atbilde
A model may not keep the same pattern outside the observed data range.
270. kartīte
Jautājums
Area scale factor when lengths double?
Atbilde
Area scales with the square of the length factor: $2^2=4$.
271. kartīte
Jautājums
Horizontal line slope?
Atbilde
Its y-value does not change as x changes.
272. kartīte
Jautājums
Inverse function setup?
Atbilde
Write $y=f(x)$ , swap $x$ and $y$ , then solve for $y$ . Restrict the domain when needed to make the inverse a function.
273. kartīte
Jautājums
Percentage points versus percent change?
Atbilde
A rate moving from 40 percent to 50 percent rises 10 percentage points but 25 percent relative to 40.
274. kartīte
Jautājums
y-intercept in a context?
Atbilde
The predicted or initial output when the input is zero; check whether zero is meaningful in the situation.
275. kartīte
Jautājums
Quadratic maximum or minimum from vertex form?
Atbilde
The vertex value is $k$ in $a(x-h)^2+k$ ; it is a minimum if $a>0$ and a maximum if $a<0$ .
276. kartīte
Jautājums
Line parallel to $y=mx+b$ through $(p,q)$ ?
Atbilde
$y-q=m(x-p)$ . Parallel lines keep the same slope.
277. kartīte
Jautājums
Graph of $f(x-h)+k$ ?
Atbilde
Shift the graph of $f$ right $h$ units and up $k$ units.
278. kartīte
Jautājums
Population versus sample?
Atbilde
The population is the full group of interest; a sample is the subset actually observed.
279. kartīte
Jautājums
Linear model from initial value $b$ and rate $m$ ?
Atbilde
$y=mx+b$ . The initial value is the output at input zero.
280. kartīte
Jautājums
Function composition $(f∘g)(x)$ ?
Atbilde
$f(g(x))$ . Evaluate the inner function $g$ first.
281. kartīte
Jautājums
Density?
Atbilde
Mass divided by volume. Keep the units consistent.
282. kartīte
Jautājums
Vertical line slope?
Atbilde
Undefined because $Δx=0$ , which would require division by zero.
283. kartīte
Jautājums
Nonlinear system with one equation solved for $y$ ?
Atbilde
Substitute that expression for $y$ into the other equation, solve for $x$ , then find each matching $y$ .
284. kartīte
Jautājums
Weighted percentage across unequal groups?
Atbilde
Convert each percentage to a count or weight, add the successes, then divide by the combined total.
285. kartīte
Jautājums
Line perpendicular to a nonzero finite slope $m$ through $(p,q)$ ?
Atbilde
Use slope $-1/m$ in $y-q=(-1/m)(x-p)$ , when $m$ is nonzero and finite.
286. kartīte
Jautājums
Cancel a common factor in a rational expression?
Atbilde
Cancel factors, not terms, and keep every restriction from the original denominator.
287. kartīte
Jautājums
Solve a linear equation containing fractions?
Atbilde
Multiply every term by the least common denominator first, then solve the resulting linear equation.
288. kartīte
Jautājums
Rewrite $a^{2x}$ using base $a^x$ .
Atbilde
$(a^x)^2$ . This can turn an exponential expression into a quadratic form.
289. kartīte
Jautājums
Rate units check?
Atbilde
Write the numerator and denominator units explicitly, such as kilometers per hour, then convert only if the requested units differ.
290. kartīte
Jautājums
Strict versus inclusive inequality endpoint?
Atbilde
Use an open point for $<$ or $>$ and a closed point for $≤$ or $≥$ .
291. kartīte
Jautājums
Even-multiplicity zero on a graph?
Atbilde
The graph touches the x-axis and turns around; it does not cross there.
292. kartīte
Jautājums
System word problem: first setup step?
Atbilde
Define the variables with units, then translate two independent relationships into equations.
293. kartīte
Jautājums
When does a quadratic have exactly one real solution?
Atbilde
When $b^2-4ac=0$ . The repeated root is the vertex's x-coordinate.
294. kartīte
Jautājums
Two-way table: denominator for “among group B”?
Atbilde
Use the total for group B, not the grand total. The wording makes B the condition.
295. kartīte
Jautājums
Find an input when $f(x)=k$ .
Atbilde
Set the function rule equal to $k$ and solve for $x$ ; there may be zero, one, or several inputs.
296. kartīte
Jautājums
Graph of $-f(x)$ ?
Atbilde
Reflect the graph of $f(x)$ across the x-axis.
297. kartīte
Jautājums
Three consecutive integers starting with $n$ ?
Atbilde
$n$ , $n+1$ , and $n+2$ .
298. kartīte
Jautājums
Line–parabola intersections from a substituted quadratic?
Atbilde
Use its discriminant: positive means two intersections, zero one tangent intersection, and negative none.
299. kartīte
Jautājums
Linear equation with no solution: coefficient pattern?
Atbilde
After simplification, the variable terms cancel and leave a false statement, such as $0=5$ .
300. kartīte
Jautājums
Zeros of a function on its graph?
Atbilde
The x-coordinates where the graph meets the x-axis, so $f(x)=0$ .

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

300 kartīšu

Digital SAT Flashcards: Math, Grammar & Words in Context

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Digital SAT Flashcards: Math, Grammar & Words in Context

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