Digital SAT Flashcards: Math, Grammar & Words in Context

کارت‌های این دسته

1. کارت ۱

   پرسش

   Central idea of a passage?

   پاسخ

   The passage's main claim or controlling point. It should cover the whole passage, not one striking detail.

2. کارت ۲

   پرسش

   The shade trees mitigated the midday heat. Meaning of “mitigated”?

   پاسخ

   Reduced. The trees made the heat less severe.

3. کارت ۳

   پرسش

   The first plan was affordable. However, it took twice as long. What relationship does “However” signal?

   پاسخ

   Contrast. The second statement differs from or qualifies the first.

4. کارت ۴

   پرسش

   Three standard joins for two independent clauses?

   پاسخ

   A period, a semicolon, or a comma plus a coordinating conjunction. Each side must be a complete sentence.

5. کارت ۵

   پرسش

   Best supporting detail?

   پاسخ

   The detail that most directly proves the claim. Relevance matters more than how vivid or surprising it is.

6. کارت ۶

   پرسش

   A second archive corroborated the diary's date. Meaning of “corroborated”?

   پاسخ

   Confirmed with supporting evidence.

7. کارت ۷

   پرسش

   Every member of set A is even. Nine is odd; therefore, nine is not in set A. What relationship does “therefore” signal?

   پاسخ

   Conclusion from a reason. The final statement follows logically from the stated premises.

8. کارت ۸

   پرسش

   Introductory dependent clause before a main clause?

   پاسخ

   Use a comma after the dependent clause. Example: “Although rain fell, the match continued.”

9. کارت ۹

   پرسش

   Valid inference?

   پاسخ

   A conclusion that must follow, or that most reasonably follows, from the stated evidence. Avoid assumptions the text never supports.

10. کارت ۱۰

    پرسش

    The team called its result tentative until replication. Meaning of “tentative”?

    پاسخ

    Provisional or not yet certain.

11. کارت ۱۱

    پرسش

    Several materials block sound. For example, thick felt absorbs echoes. What relationship does “For example” signal?

    پاسخ

    Illustration. The second statement gives a specific case of the broader point.

12. کارت ۱۲

    پرسش

    Singular subject with an intervening prepositional phrase?

    پاسخ

    Use a singular verb. Example: “The box of samples is sealed.” The phrase “of samples” does not change the subject.

13. کارت ۱۳

    پرسش

    Strongest textual evidence?

    پاسخ

    The quotation or detail that most directly supports the target claim, with the fewest extra assumptions.

14. کارت ۱۴

    پرسش

    The error had a negligible effect on the total. Meaning of “negligible”?

    پاسخ

    So small that it is not important.

15. کارت ۱۵

    پرسش

    The first route avoids steep hills. Similarly, the second stays nearly level. What relationship does “Similarly” signal?

    پاسخ

    Similarity. The second statement matches the first in a relevant way.

16. کارت ۱۶

    پرسش

    Opening modifier placement?

    پاسخ

    Place the noun being modified immediately after the opening phrase. Example: “Walking home, Lena noticed the mural.”

17. کارت ۱۷

    پرسش

    Quantitative evidence for a claim?

    پاسخ

    Use the value, comparison, or trend that directly tests the claim, including the correct units and baseline.

18. کارت ۱۸

    پرسش

    The lab used a conventional method before testing a new one. Meaning of “conventional”?

    پاسخ

    Traditional or commonly accepted.

19. کارت ۱۹

    پرسش

    Mira checked the figures. Meanwhile, Omar revised the caption. What relationship does “Meanwhile” signal?

    پاسخ

    Simultaneous events. The second event happens at the same time as the first.

20. کارت ۲۰

    پرسش

    Singular possessive noun?

    پاسخ

    Usually add apostrophe + s. Example: “the scientist's notebook.”

21. کارت ۲۱

    پرسش

    Trend in a table or graph?

    پاسخ

    State what changes, in which direction, and across which interval. Do not turn a pattern into a cause without evidence.

22. کارت ۲۲

    پرسش

    The essay offered a novel explanation for the pattern. Meaning of “novel”?

    پاسخ

    New or original in this context.

23. کارت ۲۳

    پرسش

    The device was old. Nevertheless, it performed reliably. What relationship does “Nevertheless” signal?

    پاسخ

    Concession. The second statement remains true despite the limitation in the first.

24. کارت ۲۴

    پرسش

    Parallel items in a series?

    پاسخ

    Use the same grammatical form for each item. Example: “to collect, analyze, and report data.”

25. کارت ۲۵

    پرسش

    Claim stronger than the evidence?

    پاسخ

    Qualify the claim. Limited evidence can support “may” or “suggests,” not an absolute conclusion.

26. کارت ۲۶

    پرسش

    Her account is plausible because it matches the records. Meaning of “plausible”?

    پاسخ

    Reasonable or believable.

27. کارت ۲۷

    پرسش

    The plan cuts costs. Moreover, it shortens delivery time. What relationship does “Moreover” signal?

    پاسخ

    Addition. The second statement adds a related supporting point.

28. کارت ۲۸

    پرسش

    Colon before an explanation or list?

    پاسخ

    Use it only after a complete independent clause. Example: “The kit needs three items: tape, gloves, and labels.”

29. کارت ۲۹

    پرسش

    Claim versus evidence?

    پاسخ

    A claim is the point being argued; evidence is the information used to support it.

30. کارت ۳۰

    پرسش

    The memo's ambiguous wording allowed two readings. Meaning of “ambiguous”?

    پاسخ

    Open to more than one interpretation.

31. کارت ۳۱

    پرسش

    The team didn't replace the sensor. Instead, it recalibrated the existing one. What relationship does “Instead” signal?

    پاسخ

    Replacement. The second statement substitutes one action for another.

32. کارت ۳۲

    پرسش

    Count nouns versus mass nouns?

    پاسخ

    Use “fewer” with countable items and “less” with amounts. Example: fewer errors, less noise.

33. کارت ۳۳

    پرسش

    Effect of a counterexample?

    پاسخ

    It weakens a universal claim by showing at least one case where the claim fails.

34. کارت ۳۴

    پرسش

    Rainfall was sporadic: brief showers interrupted long dry periods. Meaning of “sporadic”?

    پاسخ

    Irregular and occasional.

35. کارت ۳۵

    پرسش

    The seedlings grew indoors. Subsequently, workers moved them outside. What relationship does “Subsequently” signal?

    پاسخ

    Later step in a sequence. The second event occurs after the first.

36. کارت ۳۶

    پرسش

    Essential clause punctuation?

    پاسخ

    Do not surround an essential clause with commas. It identifies which person or thing the sentence means.

37. کارت ۳۷

    پرسش

    Correlation alone proves causation?

    پاسخ

    No. A relationship between variables does not by itself show that one caused the other.

38. کارت ۳۸

    پرسش

    Subsequent trials produced the same result. Meaning of “subsequent”?

    پاسخ

    Coming later in time.

39. کارت ۳۹

    پرسش

    The coating is hydrophobic. In other words, it repels water. What relationship does “In other words” signal?

    پاسخ

    Restatement for clarity. The second statement rephrases the first.

40. کارت ۴۰

    پرسش

    Verb tense across a paragraph?

    پاسخ

    Keep the time frame consistent unless the timing actually changes.

41. کارت ۴۱

    پرسش

    Missing information in a data claim?

    پاسخ

    Look for the baseline, sample size, units, comparison group, or time interval needed to judge the claim.

42. کارت ۴۲

    پرسش

    The coating helps the fabric retain heat. Meaning of “retain”?

    پاسخ

    Keep or continue to hold.

43. کارت ۴۳

    پرسش

    The repair requires specialized tools. Specifically, it needs a torque wrench. What relationship does “Specifically” signal?

    پاسخ

    General-to-specific detail. The second statement narrows the broad first statement.

44. کارت ۴۴

    پرسش

    Coordinate adjectives?

    پاسخ

    Separate them with a comma when their order can switch and “and” can fit between them. Example: “a clear, concise note.”

45. کارت ۴۵

    پرسش

    Two sources on the same event?

    پاسخ

    Compare the exact claims, evidence, scope, and perspective. Shared topic does not guarantee agreement.

46. کارت ۴۶

    پرسش

    The survey was designed to elicit candid responses. Meaning of “elicit”?

    پاسخ

    Draw out or bring forth.

47. کارت ۴۷

    پرسش

    Heavy rain loosened the soil. Consequently, the trail closed. What relationship does “Consequently” signal?

    پاسخ

    Cause and effect. The second statement is an outcome of the first.

48. کارت ۴۸

    پرسش

    Sentence fragment?

    پاسخ

    A group of words missing an independent clause. Attach it to a complete sentence or supply the missing subject and verb.

49. کارت ۴۹

    پرسش

    Inference from a narrow sample?

    پاسخ

    Limit the conclusion to the population the sample can represent. Do not generalize beyond the evidence.

50. کارت ۵۰

    پرسش

    Cost was the main constraint on the project. Meaning of “constraint”?

    پاسخ

    A limit or restriction.

51. کارت ۵۱

    پرسش

    Early results conflicted. Ultimately, the team accepted the model. What relationship does “Ultimately” signal?

    پاسخ

    Overall conclusion. The second statement gives the final judgment after earlier considerations.

52. کارت ۵۲

    پرسش

    Conjunctive adverb between independent clauses?

    پاسخ

    Use a semicolon before it and a comma after it. Example: “The route was longer; however, it was safer.”

53. کارت ۵۳

    پرسش

    Most accurate summary?

    پاسخ

    State the central idea and its essential support without adding opinions or minor details.

54. کارت ۵۴

    پرسش

    The review was comprehensive, covering every recorded case. Meaning of “comprehensive”?

    پاسخ

    Complete and wide-ranging.

55. کارت ۵۵

    پرسش

    The method is efficient. Indeed, it cuts processing time in half. What relationship does “Indeed” signal?

    پاسخ

    Emphasis and confirmation. The second statement reinforces the first with a stronger detail.

56. کارت ۵۶

    پرسش

    Who versus whom?

    پاسخ

    Use “who” as a subject and “whom” as an object. Test with he/him: “whom” matches “him.”

57. کارت ۵۷

    پرسش

    Evidence that best resolves a disagreement?

    پاسخ

    Choose evidence that tests the specific point on which the sources differ, not a fact both already accept.

58. کارت ۵۸

    پرسش

    The two materials have distinct properties. Meaning of “distinct”?

    پاسخ

    Clearly different or separate.

59. کارت ۵۹

    پرسش

    The forecast warned of rain. Still, the outdoor concert began on time. What relationship does “Still” signal?

    پاسخ

    Concession. The second statement remains true despite the obstacle in the first.

60. کارت ۶۰

    پرسش

    Comma before an introduced direct quotation?

    پاسخ

    Use a comma after a speech tag. Example: “Mina wrote, ‘The sample is ready.’”

61. کارت ۶۱

    پرسش

    The conclusion was qualified by two important exceptions. Meaning of “qualified”?

    پاسخ

    Limited or modified, rather than stated without conditions.

62. کارت ۶۲

    پرسش

    Notes for a synthesis goal?

    پاسخ

    Use only facts that directly serve the stated goal. Relevant notes can be omitted if they do not help that purpose.

63. کارت ۶۳

    پرسش

    Comma splice?

    پاسخ

    Two independent clauses joined only by a comma. Replace it with a period or semicolon, or add a coordinating conjunction.

64. کارت ۶۴

    پرسش

    Comma between subject and verb?

    پاسخ

    Do not use one unless an interrupting phrase requires paired commas. “The results of the trial were clear” takes no comma after “trial.”

65. کارت ۶۵

    پرسش

    The new sensor made the older model obsolete. Meaning of “obsolete”?

    پاسخ

    No longer useful or current because something newer replaced it.

66. کارت ۶۶

    پرسش

    Source attribution in a synthesis?

    پاسخ

    Name the source when its identity, authority, or perspective matters to the rhetorical goal.

67. کارت ۶۷

    پرسش

    Compound subject joined by “and”?

    پاسخ

    Use a plural verb in the usual case. Example: “The map and the notes are useful.”

68. کارت ۶۸

    پرسش

    Dangling opening modifier?

    پاسخ

    It lacks the intended doer immediately after the modifier. Rewrite so the doer becomes the subject.

69. کارت ۶۹

    پرسش

    Researchers derived the estimate from three measurements. Meaning of “derived”?

    پاسخ

    Obtained from a source or calculation.

70. کارت ۷۰

    پرسش

    Chronological synthesis?

    پاسخ

    Order events by time and use dates or sequence words only when they help the reader follow the progression.

71. کارت ۷۱

    پرسش

    Plural noun ending in s: possessive form?

    پاسخ

    Add an apostrophe after the existing s. Example: “the researchers' notes.”

72. کارت ۷۲

    پرسش

    Logical comparison?

    پاسخ

    Compare like with like. Example: compare one city's rainfall with another city's rainfall, not with the city itself.

73. کارت ۷۳

    پرسش

    The article advocates preserving the wetland. Meaning of “advocates”?

    پاسخ

    Publicly supports or argues for.

74. کارت ۷۴

    پرسش

    Compare evidence from two studies?

    پاسخ

    State the shared measure first, then the relevant difference in result, method, or population.

75. کارت ۷۵

    پرسش

    Colon after an incomplete lead-in?

    پاسخ

    Do not use one. A colon must follow a complete clause, so “The reasons include:” is incorrect.

76. کارت ۷۶

    پرسش

    Number versus amount?

    پاسخ

    Use “number” for countable items and “amount” for uncountable quantities. Example: number of files, amount of water.

77. کارت ۷۷

    پرسش

    Portable chargers are now ubiquitous on long trips. Meaning of “ubiquitous”?

    پاسخ

    Present or found almost everywhere.

78. کارت ۷۸

    پرسش

    Synthesis that emphasizes a difference?

    پاسخ

    Use the same comparison point for both subjects, then state the contrast directly.

79. کارت ۷۹

    پرسش

    Nonessential clause or phrase?

    پاسخ

    Set it off with paired commas. The sentence should keep its core identity and meaning when the phrase is removed.

80. کارت ۸۰

    پرسش

    Earlier of two past actions?

    پاسخ

    Use past perfect when the sequence needs clarification. Example: “The team had left before the storm began.”

81. کارت ۸۱

    پرسش

    Sentence 2 presents an exception to sentence 1. Its function?

    پاسخ

    It qualifies the first claim by limiting when or how broadly it applies.

82. کارت ۸۲

    پرسش

    Rhetorical goal: define a term?

    پاسخ

    Give the term's relevant meaning before using details or examples that depend on it.

83. کارت ۸۳

    پرسش

    Cumulative adjectives?

    پاسخ

    Do not separate them with a comma when each adjective builds on the next. Example: “three small glass jars.”

84. کارت ۸۴

    پرسش

    Run-on sentence?

    پاسخ

    Independent clauses joined without valid punctuation or a conjunction. Add a period, semicolon, or comma plus coordinating conjunction.

85. کارت ۸۵

    پرسش

    Sentence 2 gives a specific case after a general claim. Its function?

    پاسخ

    It illustrates the claim with an example.

86. کارت ۸۶

    پرسش

    Introduce a quotation in a synthesis?

    پاسخ

    Give enough source and context to show why the quotation matters; do not leave it unattached.

87. کارت ۸۷

    پرسش

    Relative pronoun for people?

    پاسخ

    Use “who” or “whom,” depending on case. Example: “the engineer who designed the bridge.”

88. کارت ۸۸

    پرسش

    Integrated quotation punctuation?

    پاسخ

    Do not add a comma when the quotation completes the grammar of the sentence. Example: The report calls the result “unexpected.”

89. کارت ۸۹

    پرسش

    Sentence 2 admits a limitation before defending the claim. Its function?

    پاسخ

    It makes a concession, showing that the writer recognizes a complication.

90. کارت ۹۰

    پرسش

    Avoid redundancy in synthesis?

    پاسخ

    State each needed idea once. Prefer the version that preserves meaning with fewer repeated words.

91. کارت ۹۱

    پرسش

    Semicolon between two independent clauses?

    پاسخ

    Use it without a coordinating conjunction when the ideas are closely related. Example: “The trial ended; the analysis began.”

92. کارت ۹۲

    پرسش

    Comma in a compound predicate?

    پاسخ

    Usually omit it when one subject performs both actions. Example: “The team collected the samples and recorded the temperature.”

93. کارت ۹۳

    پرسش

    Sentence 2 explains what a technical term means. Its function?

    پاسخ

    It defines or clarifies the term.

94. کارت ۹۴

    پرسش

    Combine two related sentences?

    پاسخ

    Make the logical relationship explicit and remove repeated material without changing the facts.

95. کارت ۹۵

    پرسش

    Either/or subject agreement?

    پاسخ

    Make the verb agree with the nearer subject. Example: “Either the notes or the map is missing.”

96. کارت ۹۶

    پرسش

    Active versus passive voice?

    پاسخ

    Choose the voice that fits the focus. Active highlights the doer; passive can highlight the action or receiver.

97. کارت ۹۷

    پرسش

    Sentence 2 describes the outcome of sentence 1. Its function?

    پاسخ

    It presents an effect or consequence.

98. کارت ۹۸

    پرسش

    Formal academic register?

    پاسخ

    Use precise, neutral wording and avoid slang, vague intensifiers, and chatty asides unless the goal calls for them.

99. کارت ۹۹

    پرسش

    Its or it's?

    پاسخ

    “Its” is possessive; “it's” means “it is” or “it has.”

100. کارت ۱۰۰

     پرسش

     Adjective versus adverb?

     پاسخ

     An adjective modifies a noun; an adverb usually modifies a verb, adjective, or adverb. Example: a careful test; test carefully.

101. کارت ۱۰۱

     پرسش

     A study reports a result without arguing for a policy. Author's purpose?

     پاسخ

     To inform or explain, not necessarily to persuade.

102. کارت ۱۰۲

     پرسش

     Concise synthesis?

     پاسخ

     Keep every fact needed for the rhetorical goal and remove details that repeat or distract from it.

103. کارت ۱۰۳

     پرسش

     Single dash for emphasis?

     پاسخ

     Use it after a complete thought to spotlight a final explanation or turn. Example: “One result stood out—the oldest sample.”

104. کارت ۱۰۴

     پرسش

     Comma with direct address?

     پاسخ

     Set off the person being addressed. Example: “Rina, please check the units.”

105. کارت ۱۰۵

     پرسش

     Why acknowledge a limitation?

     پاسخ

     To define the claim's boundary and show how the evidence should be interpreted.

106. کارت ۱۰۶

     پرسش

     Quantitative comparison in a synthesis?

     پاسخ

     Name both values, the shared unit, and the direction or size of the difference.

107. کارت ۱۰۷

     پرسش

     Each of the samples: verb number?

     پاسخ

     Singular. “Each of the samples was labeled.” The subject is “each.”

108. کارت ۱۰۸

     پرسش

     Between versus among?

     پاسخ

     Use “between” for distinct individual relationships and “among” for a group without separate pairings.

109. کارت ۱۰۹

     پرسش

     Rhetorical question in an argument?

     پاسخ

     It can frame the issue or prompt the reader to consider an implied answer; it is not evidence by itself.

110. کارت ۱۱۰

     پرسش

     Claim before or after support?

     پاسخ

     Place it where the rhetorical goal is clearest: before evidence for a direct point, or after evidence for an evidence-led conclusion.

111. کارت ۱۱۱

     پرسش

     Restrictive “that” versus nonrestrictive “which”?

     پاسخ

     Use “that” without commas for essential information; use “which” with commas for removable information.

112. کارت ۱۱۲

     پرسش

     Present perfect use?

     پاسخ

     Use it for an action connected to the present or continuing to now. Example: “The team has tracked rainfall since May.”

113. کارت ۱۱۳

     پرسش

     Two texts reach the same conclusion with different evidence. Relationship?

     پاسخ

     They agree in conclusion but support it through different evidence.

114. کارت ۱۱۴

     پرسش

     Group related ideas in a synthesis?

     پاسخ

     Keep facts serving the same point together, then signal the move to a new point.

115. کارت ۱۱۵

     پرسش

     Compound modifier before a noun?

     پاسخ

     Hyphenate it when needed for clarity. Example: “a well-designed study.”

116. کارت ۱۱۶

     پرسش

     Affect or effect?

     پاسخ

     “Affect” is usually a verb meaning influence; “effect” is usually a noun meaning result.

117. کارت ۱۱۷

     پرسش

     Two texts offer incompatible explanations. Relationship?

     پاسخ

     They disagree about the cause or interpretation, even if they share the same observations.

118. کارت ۱۱۸

     پرسش

     Replace a vague pronoun in synthesis?

     پاسخ

     Use the precise noun when two or more possible antecedents could confuse the reader.

119. کارت ۱۱۹

     پرسش

     Comma-separated list?

     پاسخ

     Use commas between three or more parallel items. A final serial comma can prevent ambiguity.

120. کارت ۱۲۰

     پرسش

     Main clause before a dependent clause?

     پاسخ

     Usually no comma when the dependent clause is essential. Example: “The match continued although rain fell.”

121. کارت ۱۲۱

     پرسش

     Two authors use the same evidence but different assumptions. Key difference?

     پاسخ

     Their perspectives or interpretive frameworks, not the underlying evidence.

122. کارت ۱۲۲

     پرسش

     Independent clauses joined with a coordinating conjunction?

     پاسخ

     Place a comma before the conjunction. Example: “The sensor failed, so the team repeated the trial.”

123. کارت ۱۲۳

     پرسش

     Introductory transition?

     پاسخ

     Follow it with a comma when it modifies the whole sentence. Example: “However, the second trial succeeded.”

124. کارت ۱۲۴

     پرسش

     Pronoun–antecedent agreement?

     پاسخ

     Match number and make the reference clear. Singular “they” is standard when a person's gender is unknown or irrelevant.

125. کارت ۱۲۵

     پرسش

     Paired em dashes?

     پاسخ

     Use them to set off an emphatic interruption. Both dashes are needed when the sentence continues after it.

126. کارت ۱۲۶

     پرسش

     How does new evidence relate to an earlier claim?

     پاسخ

     It may support, weaken, qualify, or leave the claim unchanged. Match the evidence to the exact claim.

127. کارت ۱۲۷

     پرسش

     Their, there, or they're?

     پاسخ

     “Their” is possessive, “there” refers to place or existence, and “they're” means “they are.”

128. کارت ۱۲۸

     پرسش

     Good or well?

     پاسخ

     “Good” is usually an adjective; “well” is usually an adverb. A person can feel good and perform well.

129. کارت ۱۲۹

     پرسش

     Appositive naming the same noun?

     پاسخ

     Set a nonessential appositive off with commas. Example: “Dr. Rao, the lead author, presented the findings.”

130. کارت ۱۳۰

     پرسش

     Why use an analogy?

     پاسخ

     To clarify an unfamiliar idea through a relevant similarity to something more familiar.

131. کارت ۱۳۱

     پرسش

     Than or then?

     پاسخ

     “Than” makes a comparison; “then” refers to time or consequence.

132. کارت ۱۳۲

     پرسش

     Hypothetical contrary-to-fact “if” clause?

     پاسخ

     Use subjunctive “were.” Example: “If the sample were larger, the estimate would be steadier.”

133. کارت ۱۳۳

     پرسش

     Plural noun with no possession?

     پاسخ

     Do not add an apostrophe. Write “three sensors,” not “three sensor's.”

134. کارت ۱۳۴

     پرسش

     Neutral, evidence-led wording indicates what tone?

     پاسخ

     Objective. It emphasizes information rather than strong personal judgment.

135. کارت ۱۳۵

     پرسش

     Complex list with internal commas?

     پاسخ

     Use semicolons between the main items. Example: “Lima, Peru; Accra, Ghana; and Hanoi, Vietnam.”

136. کارت ۱۳۶

     پرسش

     Ambiguous pronoun?

     پاسخ

     A pronoun with more than one plausible antecedent. Replace it with the intended noun.

137. کارت ۱۳۷

     پرسش

     Parentheses around nonessential information?

     پاسخ

     Use them for an aside that is less central than the main sentence. The sentence must remain grammatical without it.

138. کارت ۱۳۸

     پرسش

     Repeated doubt about the evidence indicates what tone?

     پاسخ

     Skeptical. The writer questions whether a claim is adequately supported.

139. کارت ۱۳۹

     پرسش

     Superlative comparison?

     پاسخ

     Use it for one member against a group of three or more. Example: “the fastest of the four methods.”

140. کارت ۱۴۰

     پرسش

     Pronoun after a preposition?

     پاسخ

     Use the object form. Write “between you and me,” not “between you and I.”

141. کارت ۱۴۱

     پرسش

     Apostrophe in a contraction?

     پاسخ

     It marks omitted letters. Example: “can't” contracts “cannot,” and “they're” contracts “they are.”

142. کارت ۱۴۲

     پرسش

     Coordinate-adjective test?

     پاسخ

     If “and” works between the adjectives and their order can reverse, use a comma between them.

143. کارت ۱۴۳

     پرسش

     Double comparative?

     پاسخ

     Use only one comparative marker. Write “more efficient” or “faster,” not “more faster.”

144. کارت ۱۴۴

     پرسش

     Lie or lay?

     پاسخ

     “Lie” means recline and takes no object; “lay” means place and takes an object. Present: lie/lay; past: lay/laid.

145. کارت ۱۴۵

     پرسش

     Who's or whose?

     پاسخ

     “Who's” means “who is” or “who has”; “whose” is possessive.

146. کارت ۱۴۶

     پرسش

     Standard comparison with “different”?

     پاسخ

     Use “different from.” Example: “This result is different from the earlier estimate.”

147. کارت ۱۴۷

     پرسش

     Paired construction with two endpoints?

     پاسخ

     Use “between” with “and”: “between 10 and 15,” not “between 10 to 15.”

148. کارت ۱۴۸

     پرسش

     Verb mood in a coordinated idea?

     پاسخ

     Keep the mood consistent unless the meaning changes. Do not shift from a command to a statement without reason.

149. کارت ۱۴۹

     پرسش

     Possessive pronoun apostrophe?

     پاسخ

     Do not use one. Write “hers,” “ours,” “yours,” and “theirs.”

150. کارت ۱۵۰

     پرسش

     Comma between a preposition and its object?

     پاسخ

     Do not use one. Keep the prepositional phrase intact: “in the final report,” not “in, the final report.”

     

     ۳۰۰ کارت

     Digital SAT Flashcards: Math, Grammar & Words in Context

     این دسته را رایگان مطالعه کنید

     Nibomo باز می‌شود تا بتوانید مطالعه را شروع کنید.

151. کارت ۱۵۱

     پرسش

     Solve $ax+b=c$ for $x$, where $a≠0$.

     پاسخ

     $x=(c-b)/a$. Subtract $b$ first, then divide by $a$.

152. کارت ۱۵۲

     پرسش

     Product of powers with the same base?

     پاسخ

     $a^m a^n=a^{m+n}$. Keep the base and add the exponents.

153. کارت ۱۵۳

     پرسش

     Unit rate?

     پاسخ

     The amount per 1 unit. Divide both quantities by the same value so the denominator becomes 1.

154. کارت ۱۵۴

     پرسش

     Rectangle area?

     پاسخ

     $A=lw$, where $l$ is length and $w$ is width.

155. کارت ۱۵۵

     پرسش

     Slope from two points?

     پاسخ

     $m=(y_2-y_1)/(x_2-x_1)$. Subtract coordinates in the same order.

156. کارت ۱۵۶

     پرسش

     Quotient of powers with the same base?

     پاسخ

     $a^m/a^n=a^{m-n}$ for $a≠0$.

157. کارت ۱۵۷

     پرسش

     Conversion factor setup?

     پاسخ

     Multiply by a ratio equal to 1, with the unwanted unit placed to cancel.

158. کارت ۱۵۸

     پرسش

     Triangle area?

     پاسخ

     $A=(1/2)bh$. The height must be perpendicular to the chosen base.

159. کارت ۱۵۹

     پرسش

     Slope-intercept form?

     پاسخ

     $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

160. کارت ۱۶۰

     پرسش

     Power raised to a power?

     پاسخ

     $(a^m)^n=a^{mn}$. Multiply the exponents.

161. کارت ۱۶۱

     پرسش

     Dimensional analysis check?

     پاسخ

     Cancel units algebraically. The units left at the end should match the quantity requested.

162. کارت ۱۶۲

     پرسش

     Trapezoid area?

     پاسخ

     $A=(1/2)(b_1+b_2)h$. The height is perpendicular to the parallel bases.

163. کارت ۱۶۳

     پرسش

     Point-slope form?

     پاسخ

     $y-y_1=m(x-x_1)$. Use a known point $(x_1,y_1)$ and the slope $m$.

164. کارت ۱۶۴

     پرسش

     Negative exponent?

     پاسخ

     $a^{-n}=1/a^n$ for $a≠0$.

165. کارت ۱۶۵

     پرسش

     Constant of proportionality in $y=kx$?

     پاسخ

     $k=y/x$ for $x≠0$. It is also the unit rate and slope.

166. کارت ۱۶۶

     پرسش

     Circle area?

     پاسخ

     $A=πr^2$.

167. کارت ۱۶۷

     پرسش

     Intercepts from $Ax+By=C$?

     پاسخ

     Set $y=0$ for the x-intercept and set $x=0$ for the y-intercept.

168. کارت ۱۶۸

     پرسش

     Fractional exponent?

     پاسخ

     $a^{m/n}$ means the nth root of $a^m$. For example, $a^{1/2}=√a$.

169. کارت ۱۶۹

     پرسش

     Scale drawing length?

     پاسخ

     Use a proportion with corresponding lengths in the same order, then apply the stated scale factor.

170. کارت ۱۷۰

     پرسش

     Circle circumference?

     پاسخ

     $C=2πr=πd$.

171. کارت ۱۷۱

     پرسش

     Parallel nonvertical lines: slope relationship?

     پاسخ

     They have equal slopes. Distinct parallel lines have different intercepts.

172. کارت ۱۷۲

     پرسش

     Difference of squares?

     پاسخ

     $a^2-b^2=(a-b)(a+b)$.

173. کارت ۱۷۳

     پرسش

     Percent change?

     پاسخ

     New minus original, divided by the original, then multiplied by 100 percent. The original value is the denominator.

174. کارت ۱۷۴

     پرسش

     Arc length from central angle $θ$ in degrees?

     پاسخ

     $L=(θ/360)(2πr)$.

175. کارت ۱۷۵

     پرسش

     Perpendicular nonvertical lines: slope relationship?

     پاسخ

     Their slopes are negative reciprocals, so $m_1m_2=-1$.

176. کارت ۱۷۶

     پرسش

     Perfect-square trinomial pattern?

     پاسخ

     $a^2+2ab+b^2=(a+b)^2$ and $a^2-2ab+b^2=(a-b)^2$.

177. کارت ۱۷۷

     پرسش

     Increase by $r$ percent: multiplier?

     پاسخ

     $1+r/100$. Multiply the original value by this factor.

178. کارت ۱۷۸

     پرسش

     Sector area from central angle $θ$ in degrees?

     پاسخ

     $A=(θ/360)(πr^2)$.

179. کارت ۱۷۹

     پرسش

     x-intercept of a graph?

     پاسخ

     A point where $y=0$ and the graph meets the x-axis.

180. کارت ۱۸۰

     پرسش

     First step in factoring $ax^2+bx+c$?

     پاسخ

     Look for common factors and two binomials whose product reproduces the middle and constant terms.

181. کارت ۱۸۱

     پرسش

     Original value after a 20 percent increase to 84?

     پاسخ

     70. Divide the final value by the multiplier: $84/1.20=70$.

182. کارت ۱۸۲

     پرسش

     Triangle interior-angle sum?

     پاسخ

     $180°$.

183. کارت ۱۸۳

     پرسش

     y-intercept of a graph?

     پاسخ

     A point where $x=0$ and the graph meets the y-axis.

184. کارت ۱۸۴

     پرسش

     Roots from $(x-p)(x-q)=0$?

     پاسخ

     $x=p$ or $x=q$, by the zero-product property.

185. کارت ۱۸۵

     پرسش

     Weighted average?

     پاسخ

     Sum of each value times its weight, divided by the sum of the weights. Do not take a simple average of unequal groups.

186. کارت ۱۸۶

     پرسش

     Exterior angle of a triangle?

     پاسخ

     It equals the sum of the two remote interior angles.

187. کارت ۱۸۷

     پرسش

     Line through two points?

     پاسخ

     Find the slope, then substitute either point into point-slope or slope-intercept form.

188. کارت ۱۸۸

     پرسش

     Quadratic formula?

     پاسخ

     $x=(-b±√(b^2-4ac))/(2a)$ for $ax^2+bx+c=0$.

189. کارت ۱۸۹

     پرسش

     Arithmetic mean?

     پاسخ

     Add all values and divide by the number of values.

190. کارت ۱۹۰

     پرسش

     Parallel lines cut by a transversal: alternate interior angles?

     پاسخ

     They are congruent.

191. کارت ۱۹۱

     پرسش

     Slope's units in context?

     پاسخ

     Output units per input unit. In $y$ versus $x$, slope units are y-units divided by x-units.

192. کارت ۱۹۲

     پرسش

     What does $b^2-4ac$ tell you?

     پاسخ

     The number of real solutions: positive gives two, zero gives one, and negative gives none.

193. کارت ۱۹۳

     پرسش

     Median?

     پاسخ

     The middle value after ordering the data; for an even count, average the two middle values.

194. کارت ۱۹۴

     پرسش

     Similar triangles: corresponding sides?

     پاسخ

     They are proportional. Match sides opposite equal angles.

195. کارت ۱۹۵

     پرسش

     Direct variation model?

     پاسخ

     $y=kx$. It is linear and passes through the origin.

196. کارت ۱۹۶

     پرسش

     Vertex x-coordinate of $ax^2+bx+c$?

     پاسخ

     $x=-b/(2a)$.

197. کارت ۱۹۷

     پرسش

     Range of a data set?

     پاسخ

     Maximum minus minimum.

198. کارت ۱۹۸

     پرسش

     Scale factor $k$: area factor?

     پاسخ

     $k^2$. Lengths scale by $k$, while areas scale by the square of $k$.

199. کارت ۱۹۹

     پرسش

     Solution of a two-line system?

     پاسخ

     The intersection point, whose coordinates satisfy both equations.

200. کارت ۲۰۰

     پرسش

     Vertex form of a quadratic?

     پاسخ

     $y=a(x-h)^2+k$, with vertex $(h,k)$.

201. کارت ۲۰۱

     پرسش

     Interquartile range?

     پاسخ

     $IQR=Q_3-Q_1$. It measures the spread of the middle half of the data.

202. کارت ۲۰۲

     پرسش

     Pythagorean theorem?

     پاسخ

     $a^2+b^2=c^2$ for a right triangle, where $c$ is the hypotenuse.

203. کارت ۲۰۳

     پرسش

     Substitution in a system?

     پاسخ

     Solve one equation for a variable and replace that variable in the other equation.

204. کارت ۲۰۴

     پرسش

     Axis of symmetry of $y=a(x-h)^2+k$?

     پاسخ

     $x=h$.

205. کارت ۲۰۵

     پرسش

     Larger standard deviation means what?

     پاسخ

     The data are more spread out around the mean.

206. کارت ۲۰۶

     پرسش

     45°-45°-90° side ratio?

     پاسخ

     $1:1:√2$. The hypotenuse is a leg times $√2$.

207. کارت ۲۰۷

     پرسش

     Elimination in a system?

     پاسخ

     Add or subtract equations so one variable cancels, then solve for the other.

208. کارت ۲۰۸

     پرسش

     Completing the square?

     پاسخ

     For $x^2+bx$, add $(b/2)^2$ to form $(x+b/2)^2$.

209. کارت ۲۰۹

     پرسش

     Effect of a high outlier on the mean?

     پاسخ

     It usually pulls the mean upward. The median is often less affected.

210. کارت ۲۱۰

     پرسش

     30°-60°-90° side ratio?

     پاسخ

     $1:√3:2$, opposite $30°$, $60°$, and $90°$ respectively.

211. کارت ۲۱۱

     پرسش

     Parallel lines in a system?

     پاسخ

     No solution when they are distinct: equal slopes and different intercepts.

212. کارت ۲۱۲

     پرسش

     Sum and product of roots of $ax^2+bx+c=0$?

     پاسخ

     Sum $=-b/a$ and product $=c/a$.

213. کارت ۲۱۳

     پرسش

     Add the same constant to every data value: effect?

     پاسخ

     The mean and median increase by that constant; measures of spread stay unchanged.

214. کارت ۲۱۴

     پرسش

     Right-triangle sine?

     پاسخ

     Sine of $θ$ equals opposite over hypotenuse.

215. کارت ۲۱۵

     پرسش

     Same line written two ways in a system?

     پاسخ

     Infinitely many solutions. Simplifying either equation produces the other.

216. کارت ۲۱۶

     پرسش

     Remainder when $P(x)$ is divided by $x-a$?

     پاسخ

     $P(a)$, by the Remainder Theorem.

217. کارت ۲۱۷

     پرسش

     Multiply every data value by positive $k$: effect?

     پاسخ

     The mean, median, range, IQR, and standard deviation are all multiplied by $k$.

218. کارت ۲۱۸

     پرسش

     Right-triangle cosine?

     پاسخ

     Cosine of $θ$ equals adjacent over hypotenuse.

219. کارت ۲۱۹

     پرسش

     Multiply or divide an inequality by a negative number?

     پاسخ

     Reverse the inequality sign.

220. کارت ۲۲۰

     پرسش

     When is $x-a$ a factor of $P(x)$?

     پاسخ

     When $P(a)=0$, by the Factor Theorem.

221. کارت ۲۲۱

     پرسش

     Joint probability from a two-way table?

     پاسخ

     Divide the count in the intersection cell by the grand total.

222. کارت ۲۲۲

     پرسش

     Right-triangle tangent?

     پاسخ

     Tangent of $θ$ equals opposite over adjacent.

223. کارت ۲۲۳

     پرسش

     Compound inequality with “and”?

     پاسخ

     Use the intersection: values that satisfy both inequalities.

224. کارت ۲۲۴

     پرسش

     Even degree with positive leading coefficient: end behavior?

     پاسخ

     Both ends rise: $P(x)→∞$ as $x→±∞$.

225. کارت ۲۲۵

     پرسش

     Conditional probability $P(A|B)$?

     پاسخ

     $P(A∩B)/P(B)$. Restrict the denominator to outcomes in $B$.

226. کارت ۲۲۶

     پرسش

     Complementary acute angles: sine–cosine relationship?

     پاسخ

     The sine of $θ$ equals the cosine of $90°-θ$.

227. کارت ۲۲۷

     پرسش

     Compound inequality with “or”?

     پاسخ

     Use the union: values that satisfy at least one inequality.

228. کارت ۲۲۸

     پرسش

     Odd degree with positive leading coefficient: end behavior?

     پاسخ

     The left end falls and the right end rises.

229. کارت ۲۲۹

     پرسش

     Independent events $A$ and $B$?

     پاسخ

     $P(A∩B)=P(A)P(B)$. Knowing one occurred does not change the probability of the other.

230. کارت ۲۳۰

     پرسش

     Distance between $(x_1,y_1)$ and $(x_2,y_2)$?

     پاسخ

     $√((x_2-x_1)^2+(y_2-y_1)^2)$.

231. کارت ۲۳۱

     پرسش

     Solve $|x-a|=b$ for $b≥0$.

     پاسخ

     $x-a=b$ or $x-a=-b$. Absolute value represents distance from $a$.

232. کارت ۲۳۲

     پرسش

     Exponential growth model?

     پاسخ

     $y=a(1+r)^t$, where $a$ is the initial value and $r$ is the growth rate per period.

233. کارت ۲۳۳

     پرسش

     Mutually exclusive events?

     پاسخ

     They cannot occur together, so $P(A∪B)=P(A)+P(B)$.

234. کارت ۲۳۴

     پرسش

     Midpoint of two points?

     پاسخ

     $((x_1+x_2)/2,(y_1+y_2)/2)$.

235. کارت ۲۳۵

     پرسش

     Solve $|x-a|<b$ for $b>0$.

     پاسخ

     $a-b<x<a+b$. The solution lies within distance $b$ of $a$.

236. کارت ۲۳۶

     پرسش

     Exponential decay model?

     پاسخ

     $y=a(1-r)^t$, where $0<r<1$ is the decay rate per period.

237. کارت ۲۳۷

     پرسش

     Complement rule?

     پاسخ

     The probability that $A$ does not occur is $1-P(A)$.

238. کارت ۲۳۸

     پرسش

     Circle with center $(h,k)$ and radius $r$?

     پاسخ

     $(x-h)^2+(y-k)^2=r^2$.

239. کارت ۲۳۹

     پرسش

     Evaluate $f(a)$?

     پاسخ

     Substitute $a$ for every input variable in the function rule, then simplify.

240. کارت ۲۴۰

     پرسش

     Growth factor 1.08: percent growth rate?

     پاسخ

     8 percent. Subtract 1 and convert the decimal to a percent.

241. کارت ۲۴۱

     پرسش

     Representative random sample permits what conclusion?

     پاسخ

     A cautious generalization from the sample to the population it represents.

242. کارت ۲۴۲

     پرسش

     Radius from $(x-h)^2+(y-k)^2=R$?

     پاسخ

     $r=√R$, provided $R>0$.

243. کارت ۲۴۳

     پرسش

     Linear table: constant slope check?

     پاسخ

     Equal changes in $x$ must produce equal changes in $y$; compare $Δy/Δx$ across intervals.

244. کارت ۲۴۴

     پرسش

     Decay factor 0.73: percent decrease?

     پاسخ

     27 percent. Compute $1-0.73=0.27$.

245. کارت ۲۴۵

     پرسش

     Random assignment permits what causal claim?

     پاسخ

     If the experiment is well controlled, differences between treatment groups can support a causal conclusion.

246. کارت ۲۴۶

     پرسش

     Radius and tangent at the contact point?

     پاسخ

     They are perpendicular.

247. کارت ۲۴۷

     پرسش

     Positive slope means what for a linear function?

     پاسخ

     The output increases as the input increases.

248. کارت ۲۴۸

     پرسش

     Solve $3^{2x}=3^{10}$.

     پاسخ

     $x=5$. Equal positive bases other than 1 have equal exponents.

249. کارت ۲۴۹

     پرسش

     Observational study supports causation?

     پاسخ

     No. It can show association, but uncontrolled confounding variables may explain the pattern.

250. کارت ۲۵۰

     پرسش

     Rectangular-prism volume?

     پاسخ

     $V=lwh$, or base area times height.

251. کارت ۲۵۱

     پرسش

     Arithmetic sequence common difference?

     پاسخ

     Subtract consecutive terms: $d=a_n-a_{n-1}$.

252. کارت ۲۵۲

     پرسش

     Compound interest formula?

     پاسخ

     $A=P(1+r/n)^{nt}$, where $n$ is the number of compounding periods per year.

253. کارت ۲۵۳

     پرسش

     Larger random sample: effect on margin of error?

     پاسخ

     It generally decreases the margin of error when the sampling method stays sound.

254. کارت ۲۵۴

     پرسش

     Cylinder volume?

     پاسخ

     $V=πr^2h$.

255. کارت ۲۵۵

     پرسش

     Arithmetic sequence nth term?

     پاسخ

     $a_n=a_1+(n-1)d$.

256. کارت ۲۵۶

     پرسش

     Rational expression: first domain check?

     پاسخ

     Exclude values that make any original denominator zero, even if a factor later cancels.

257. کارت ۲۵۷

     پرسش

     Slope of a line of best fit?

     پاسخ

     The predicted change in the response variable for each 1-unit increase in the explanatory variable.

258. کارت ۲۵۸

     پرسش

     Cone volume?

     پاسخ

     $V=(1/3)πr^2h$.

259. کارت ۲۵۹

     پرسش

     Solve a literal equation for one variable?

     پاسخ

     Treat the other symbols as constants and use inverse operations to isolate the target variable.

260. کارت ۲۶۰

     پرسش

     Why check rational-equation solutions?

     پاسخ

     Clearing denominators can produce a value excluded from the original equation. Reject any value that makes an original denominator zero.

261. کارت ۲۶۱

     پرسش

     Residual?

     پاسخ

     Actual value minus predicted value. A positive residual means the point lies above the model.

262. کارت ۲۶۲

     پرسش

     Sphere volume?

     پاسخ

     $V=(4/3)πr^3$.

263. کارت ۲۶۳

     پرسش

     Boundary for a two-variable linear inequality?

     پاسخ

     Replace the inequality with equality to draw the boundary line, then test a point for the shaded side.

264. کارت ۲۶۴

     پرسش

     Why check a solution after squaring both sides?

     پاسخ

     Squaring can introduce an extraneous solution. Substitute each candidate into the original radical equation.

265. کارت ۲۶۵

     پرسش

     Positive correlation?

     پاسخ

     Larger values of one variable tend to occur with larger values of the other. It does not prove causation.

266. کارت ۲۶۶

     پرسش

     Rectangular-prism surface area?

     پاسخ

     $SA=2(lw+lh+wh)$.

267. کارت ۲۶۷

     پرسش

     Check a proposed system solution?

     پاسخ

     Substitute the ordered pair into both original equations. It must make both true.

268. کارت ۲۶۸

     پرسش

     Simplify $√72$.

     پاسخ

     $6√2$. Factor $72=36×2$ and take $√36$ outside the radical.

269. کارت ۲۶۹

     پرسش

     Extrapolation risk?

     پاسخ

     A model may not keep the same pattern outside the observed data range.

270. کارت ۲۷۰

     پرسش

     Area scale factor when lengths double?

     پاسخ

     4. Area scales with the square of the length factor: $2^2=4$.

271. کارت ۲۷۱

     پرسش

     Horizontal line slope?

     پاسخ

     0. Its y-value does not change as x changes.

272. کارت ۲۷۲

     پرسش

     Inverse function setup?

     پاسخ

     Write $y=f(x)$, swap $x$ and $y$, then solve for $y$. Restrict the domain when needed to make the inverse a function.

273. کارت ۲۷۳

     پرسش

     Percentage points versus percent change?

     پاسخ

     A rate moving from 40 percent to 50 percent rises 10 percentage points but 25 percent relative to 40.

274. کارت ۲۷۴

     پرسش

     y-intercept in a context?

     پاسخ

     The predicted or initial output when the input is zero; check whether zero is meaningful in the situation.

275. کارت ۲۷۵

     پرسش

     Quadratic maximum or minimum from vertex form?

     پاسخ

     The vertex value is $k$ in $a(x-h)^2+k$; it is a minimum if $a>0$ and a maximum if $a<0$.

276. کارت ۲۷۶

     پرسش

     Line parallel to $y=mx+b$ through $(p,q)$?

     پاسخ

     $y-q=m(x-p)$. Parallel lines keep the same slope.

277. کارت ۲۷۷

     پرسش

     Graph of $f(x-h)+k$?

     پاسخ

     Shift the graph of $f$ right $h$ units and up $k$ units.

278. کارت ۲۷۸

     پرسش

     Population versus sample?

     پاسخ

     The population is the full group of interest; a sample is the subset actually observed.

279. کارت ۲۷۹

     پرسش

     Linear model from initial value $b$ and rate $m$?

     پاسخ

     $y=mx+b$. The initial value is the output at input zero.

280. کارت ۲۸۰

     پرسش

     Function composition $(f∘g)(x)$?

     پاسخ

     $f(g(x))$. Evaluate the inner function $g$ first.

281. کارت ۲۸۱

     پرسش

     Density?

     پاسخ

     Mass divided by volume. Keep the units consistent.

282. کارت ۲۸۲

     پرسش

     Vertical line slope?

     پاسخ

     Undefined because $Δx=0$, which would require division by zero.

283. کارت ۲۸۳

     پرسش

     Nonlinear system with one equation solved for $y$?

     پاسخ

     Substitute that expression for $y$ into the other equation, solve for $x$, then find each matching $y$.

284. کارت ۲۸۴

     پرسش

     Weighted percentage across unequal groups?

     پاسخ

     Convert each percentage to a count or weight, add the successes, then divide by the combined total.

285. کارت ۲۸۵

     پرسش

     Line perpendicular to a nonzero finite slope $m$ through $(p,q)$?

     پاسخ

     Use slope $-1/m$ in $y-q=(-1/m)(x-p)$, when $m$ is nonzero and finite.

286. کارت ۲۸۶

     پرسش

     Cancel a common factor in a rational expression?

     پاسخ

     Cancel factors, not terms, and keep every restriction from the original denominator.

287. کارت ۲۸۷

     پرسش

     Solve a linear equation containing fractions?

     پاسخ

     Multiply every term by the least common denominator first, then solve the resulting linear equation.

288. کارت ۲۸۸

     پرسش

     Rewrite $a^{2x}$ using base $a^x$.

     پاسخ

     $(a^x)^2$. This can turn an exponential expression into a quadratic form.

289. کارت ۲۸۹

     پرسش

     Rate units check?

     پاسخ

     Write the numerator and denominator units explicitly, such as kilometers per hour, then convert only if the requested units differ.

290. کارت ۲۹۰

     پرسش

     Strict versus inclusive inequality endpoint?

     پاسخ

     Use an open point for $<$ or $>$ and a closed point for $≤$ or $≥$.

291. کارت ۲۹۱

     پرسش

     Even-multiplicity zero on a graph?

     پاسخ

     The graph touches the x-axis and turns around; it does not cross there.

292. کارت ۲۹۲

     پرسش

     System word problem: first setup step?

     پاسخ

     Define the variables with units, then translate two independent relationships into equations.

293. کارت ۲۹۳

     پرسش

     When does a quadratic have exactly one real solution?

     پاسخ

     When $b^2-4ac=0$. The repeated root is the vertex's x-coordinate.

294. کارت ۲۹۴

     پرسش

     Two-way table: denominator for “among group B”?

     پاسخ

     Use the total for group B, not the grand total. The wording makes B the condition.

295. کارت ۲۹۵

     پرسش

     Find an input when $f(x)=k$.

     پاسخ

     Set the function rule equal to $k$ and solve for $x$; there may be zero, one, or several inputs.

296. کارت ۲۹۶

     پرسش

     Graph of $-f(x)$?

     پاسخ

     Reflect the graph of $f(x)$ across the x-axis.

297. کارت ۲۹۷

     پرسش

     Three consecutive integers starting with $n$?

     پاسخ

     $n$, $n+1$, and $n+2$.

298. کارت ۲۹۸

     پرسش

     Line–parabola intersections from a substituted quadratic?

     پاسخ

     Use its discriminant: positive means two intersections, zero one tangent intersection, and negative none.

299. کارت ۲۹۹

     پرسش

     Linear equation with no solution: coefficient pattern?

     پاسخ

     After simplification, the variable terms cancel and leave a false statement, such as $0=5$.

300. کارت ۳۰۰

     پرسش

     Zeros of a function on its graph?

     پاسخ

     The x-coordinates where the graph meets the x-axis, so $f(x)=0$.

۳۰۰ کارت

Digital SAT Flashcards: Math, Grammar & Words in Context

این دسته را رایگان مطالعه کنید

Nibomo باز می‌شود تا بتوانید مطالعه را شروع کنید.