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