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1 / 25
Which sentence uses a colon correctly?
Use a colon after an independent clause to introduce a list. Option B incorrectly places colon after verb; C misplaces colon mid-list; D misuse of semicolon.
2 / 25
Solve: 2/(x) = 8 → x = ?
2/x = 8 → multiply both sides by x: 2 = 8x → x = 2/8 = 1/4. Keep algebra steps clear: isolate x via division.
3 / 25
Correct the agreement: “One of the students have forgotten their book.”
“One” is singular, so use “has.” Traditional singular pronoun “his” or singular “their” modernly used; best grammatical correction: “One of the students has forgotten his book.”
4 / 25
If the probability of rain is 30%, chance of no rain is:
Complement probability: P(no rain) = 1 − P(rain) = 1 − 0.30 = 0.70 = 70%. Probabilities sum to 100% for complementary events.
5 / 25
Which punctuation correctly combines the clauses: “She wanted to study. She needed work.”
Two independent clauses can be joined by semicolon plus no conjunction: A is correct. D could work stylistically; C implies explanation; B is comma splice and incorrect.
6 / 25
Simplify: (x³ · x⁻¹).
Multiply powers: add exponents 3 + (−1) = 2 → x². Remember exponent rules: x^a * x^b = x^(a+b).
7 / 25
Which sentence is most concise?
Conciseness favors fewer words while retaining clarity: “Due to bad weather, the event was canceled.” Option A is wordy; C and D longer.
8 / 25
A function g(t) = 5t − 10. What is g(4)?
Substitute t=4: 5(4) − 10 = 20 − 10 = 10. Wait—calculation gives 10. So correct answer A (10). (Note: correct choice is A.)
9 / 25
Choose the best word: “The scientist’s discovery was _______; the community celebrated.”
“Groundbreaking” fits praise and community celebration. “Controversial” could prompt debate not celebration; “negligible” and “inconsequential” contradict celebration.
10 / 25
Evaluate: √(81) + (−4)².
√81 = 9; (−4)² = 16; sum = 25. Squaring negative gives positive. Watch parentheses: −4² would be −(4²) = −16, but (−4)² = 16.
11 / 25
Which sentence corrects the misplaced comma: “She said, ‘however, we must leave now’.”
Capitalize first word of quoted sentence. Comma inside quote precedes capital. Also period inside closing quotation per US punctuation. Option D misses comma and wrong punctuation placement.
12 / 25
If 60% of a number is 48, what is the number?
Let n be number: 0.6n = 48 → n = 48/0.6 = 80. Multiply 80 by 0.6 gives 48. Conversion between percent and decimals is core skill.
13 / 25
Identify the passive voice sentence.
Passive voice uses object as subject + form of “to be” + past participle: “The proposal was approved by the committee.” Active voice would be “The committee approved the proposal.”
14 / 25
What is the slope of the line passing through (2,3) and (5,11)?
Slope m = (y2−y1)/(x2−x1) = (11−3)/(5−2) = 8/3. Slope measures rise/run. Simplify fraction; 8/3 is final.
15 / 25
Choose the best transition: “The study was flawed; ______, its conclusions are unreliable.”
“Therefore” signals result: because the study was flawed, its conclusions are unreliable. “However” would contrast two true statements, not appropriate after semicolon with cause-effect.
16 / 25
Solve for x: 4(2x − 1) = 3x + 5.
Expand left: 8x − 4 = 3x + 5. Subtract 3x: 5x − 4 = 5. Add 4: 5x = 9. x = 9/5 = 1.8. None of given options—closest is 2. Mismatch; correct x = 9/5. (Options incorrect.)
17 / 25
Which sentence contains a misplaced modifier?
“Driving to work, the rain soaked his car” incorrectly attaches “driving” to “rain.” The subject performing the action must be the person: revise to “While driving to work, he was soaked.”
18 / 25
Simplify: (5x + 3) − (2x − 7).
Distribute minus: (5x + 3) − 2x + 7 = (5x − 2x) + (3 + 7) = 3x + 10. Combine like terms carefully when subtracting parentheses.
19 / 25
Which phrase best combines the sentences: “She studied hard. She failed the exam.”
To contrast expectation and result, “however” is appropriate: “She studied hard; however, she failed the exam.” Semicolon plus conjunctive adverb or “but” works. Option A implies no contrast.
20 / 25
If a rectangle has length 8 and width x and area 72, find x.
Area = length × width. 8×x = 72 → x = 72/8 = 9. Width is 9 units. Check units match; solution straightforward division.
21 / 25
Which number is the median of 3, 7, 9, 12, 20?
Median is middle value when data sorted. Sorted list: 3,7,9,12,20. Middle (3rd) is 9. Median is 9. Mean and mode would be different measures.
22 / 25
Choose the best revision: “The committee gave their opinions.”
“Committee” is a collective noun treated as singular; thus singular possessive/pronoun “its” matches: “The committee gave its opinions.” If writer meant members, reword to “members.”
23 / 25
If f(x) = 2x² − 3x + 1, what is f(2)?
Substitute x=2: 2(4) − 3(2) + 1 = 8 − 6 + 1 = 3. Wait — calculation gives 3. So correct answer A. (Note: correct choice is A (3).)
24 / 25
Which sentence is grammatically correct?
Each” is singular; it takes singular verb “was.” “Neither of the answers are” should be “is”; “either…or” requires verb agreement with nearer subject; “team” is collective—US usage uses singular.
25 / 25
What is the value of x if 3x − 7 = 11?
Add 7 to both sides: 3x = 18. Divide both sides by 3: x = 6. Wait—error check: 3x−7=11 → 3x = 18 → x = 6. Correct choice is A (6). (Note: correct answer is A, not B.)
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