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.

مصنف Open Study Contributor

اس ڈیک کے بارے میں

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.

اس ڈیک کے کارڈز

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

Digital SAT Flashcards: Math, Grammar & Words in Context

یہ ڈیک مفت پڑھیں

مطالعہ شروع کرنے کے لیے Nibomo کھلے گا۔

اس ڈیک کے بارے میں

Digital SAT Flashcards: Math, Grammar & Words in Context

What the cards practice

What is deliberately left out

Coverage and learning order

Scope, provenance, and reuse

اس ڈیک کے کارڈز

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