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.

Di Open Study Contributor

Informazioni su questo mazzo

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.

Carte in questo mazzo

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

Digital SAT Flashcards: Math, Grammar & Words in Context

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Digital SAT Flashcards: Math, Grammar & Words in Context

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