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.

Szerző Open Study Contributor

A pakliról

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.

Kártyák ebben a pakliban

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

Digital SAT Flashcards: Math, Grammar & Words in Context

Tanulj ingyen ebből a pakliból

A Nibomo megnyílik, és elkezdheted a tanulást.

A pakliról

Digital SAT Flashcards: Math, Grammar & Words in Context

What the cards practice

What is deliberately left out

Coverage and learning order

Scope, provenance, and reuse

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