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.

Oleh Open Study Contributor

Tentang dek ini

Digital SAT Flashcards: Math, Grammar & Words in Context

Practice the recall-worthy foundations behind all eight current SAT content domains: math formulas and setup cues, grammar and punctuation rules, transition logic, rhetorical choices, evidence checks, and high-utility words used in original sentence contexts. The 300 cards are ready to install and review offline.

What the cards practice

The deck maps short rule or task cues to a rule, distinction, formula, or setup. Original sentence contexts map to tested word meanings and grammar decisions. Original transition microcontexts name each transition and ask for the relationship it signals. Selected representation-to-interpretation prompts cover ideas such as slope as a rate of change and a residual as actual minus predicted. A few reverse prompts are included when recall in both directions prevents a common setup error.

What is deliberately left out

This is not a bank of SAT questions. It leaves out full passages, timed-test simulation, answer-choice elimination drills, copied questions, answer keys, mark schemes, official diagrams, arbitrary vocabulary lists, formula-symbol permutations, and automatic reversal of every fact. Use College Board's official practice for full reasoning, timing, and the adaptive test experience.

Coverage and learning order

Reading and Writing covers Information and Ideas, Craft and Structure, Expression of Ideas, and Standard English Conventions. Math covers Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. The 15 transition microcontexts stay in their fixed Expression of Ideas slots. Prerequisites appear before dependent ideas inside each topic. Related variants are separated by unrelated cards, while long-term spacing and interleaving stay with the review scheduler.

Scope, provenance, and reuse

The current College Board assessment framework and content-domain pages were used only as a scope and fact-check map. The prompts, answers, microcontexts, examples, selection, organization, sequence, metadata, and generated cover are independently written. Public pages from three current study tools were reviewed only to compare learner expectations; no competitor cards or examples were copied.

The Common knowledge · CC0 1.0 label applies to the original wording, examples, organization, metadata, and generated cover to the extent applicable rights exist. It does not claim ownership of mathematical facts, grammar rules, SAT domain names, College Board names, or third-party source material.

Source review date: September 1, 2026.

This deck is independent and unofficial. It is not affiliated with, endorsed by, or approved by College Board. No exam questions, mark schemes, or official specifications text were copied; see College Board's official SAT content requirements.

Kad dalam dek ini

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

Digital SAT Flashcards: Math, Grammar & Words in Context

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Digital SAT Flashcards: Math, Grammar & Words in Context

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Kad 68

Kad 69

Kad 70

Kad 71

Kad 72

Kad 73