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.

Per Open Study Contributor

Sobre aquesta baralla

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.

Targetes d'aquesta baralla

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

Digital SAT Flashcards: Math, Grammar & Words in Context

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Digital SAT Flashcards: Math, Grammar & Words in Context

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What is deliberately left out

Coverage and learning order

Scope, provenance, and reuse

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