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1 / 50
If a circle has radius 3, its area is: (Use π)
Area formula A = πr². With r = 3, r² = 9 → area = 9π. Radius squared then multiplied by π.
2 / 50
Which revision avoids a run-on sentence? “He studied; he slept he still failed.”
Using semicolons to separate closely related independent clauses is correct: “He studied; he slept; he still failed.” Alternatively, use periods or commas with conjunctions.
3 / 50
Find x when 9x − 4 = 2(4x + 1).
Solve: 9x − 4 = 8x + 2 → subtract 8x: x − 4 = 2 → x = 6. None of given answer choices match; correct x = 6.
4 / 50
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.)
5 / 50
Solve for x: x/5 + 4 = 9.
Subtract 4: x/5 = 5 → multiply both sides by 5: x = 25. Be careful with inverse operations: subtraction then multiplication.
6 / 50
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.
7 / 50
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.
8 / 50
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.
9 / 50
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 / 50
Choose the best word to complete: “The mayor praised the volunteers for their ______ efforts.”
“Invaluable” means extremely valuable; used as adjective modifying “efforts.” “Valueable” is misspelling; -ly would be adverb, wrong form.
11 / 50
A box contains 3 red, 4 blue, 5 green marbles. Probability of drawing green?
Total marbles = 3+4+5 = 12. Probability green = favorable/total = 5/12. Simplify if possible; 5/12 is simplest.
12 / 50
If a triangle has sides 3, 4, 5, its area is:
3-4-5 triangle is right triangle; legs 3 and 4 → area = (1/2)34 = 6. Recognize Pythagorean triple to identify legs vs hypotenuse.
13 / 50
Which sentence uses a semicolon correctly?
Semicolon joins two independent clauses without coordinating conjunction: “She wanted to leave; the weather delayed her.” Using semicolon with conjunction (A or D) is redundant or requires removal.
14 / 50
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.”
15 / 50
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.”
16 / 50
Which choice corrects comma usage? “If you’re late you will miss the bus.”
Introductory adverbial clause “If you’re late” should be followed by comma before main clause. Comma clarifies dependence between clauses.
17 / 50
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.)
18 / 50
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.
19 / 50
Identify the sentence with correct parallelism and punctuation:
Parallel adjectives “fast, brave, and skilled” maintain form. Option D missing Oxford comma (style-dependent), A mixes verb phrase “show skill” with adjectives.
20 / 50
Which diction best fits formal essay?
Formal diction uses precise terms: “Children” over “kids,” “study diligently” more formal than colloquialisms like “gotta” or contractions that reduce formality.
21 / 50
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).)
22 / 50
Choose the correct possessive: “The ____ performance was applauded.”
If multiple actors performed, possessive plural “actors'” shows performance belonging to them. If singular “actor’s” would be singular possessive.
23 / 50
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.)
24 / 50
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.
25 / 50
Simplify: (5x + 3) − (2x − 7).
Distribute minus: (5x + 3) − 2x + 7 = (5x − 2x) + (3 + 7) = 3x + 10. Combine like terms carefully when subtracting parentheses.
26 / 50
Evaluate: 15% of 200 = ?
15% = 0.15. 0.15×200 = 30. Wait—0.15×200 = 30. So correct answer C (30). (Note: correct choice is C.)
27 / 50
Simplify: (6x/3) − 2 = ?
6x/3 = 2x. Then subtract 2 → 2x − 2. Simplify fraction first before subtracting constant.
28 / 50
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.
29 / 50
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.
30 / 50
Evaluate expression: |−7| + |3| = ?
Absolute values: |−7| = 7, |3| = 3, sum = 10. Absolute value yields nonnegative magnitude; add accordingly.
31 / 50
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.
32 / 50
Solve: 7x = 2x + 25 → x = ?
Subtract 2x both sides: 5x = 25 → x = 5. Straightforward linear algebra isolate variable by subtraction then division.
33 / 50
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.
34 / 50
Simplify: (x³ · x⁻¹).
Multiply powers: add exponents 3 + (−1) = 2 → x². Remember exponent rules: x^a * x^b = x^(a+b).
35 / 50
If a line has equation y = −2x + 5, what is y when x = 3?
Substitute x=3: y = −2(3) + 5 = −6 + 5 = −1. Linear function evaluation is direct substitution.
36 / 50
Which sentence avoids redundancy?
“Nodded in agreement” is concise. Other options contain redundancy: “returned back,” “advanced forward,” “collaborated together” all repeat meaning.
37 / 50
A bag has numbers 1 to 10. Expected value of a single draw?
Expected value of uniform discrete 1..10 = (1+10)/2 = 5.5. For evenly spaced integers, mean = midpoint. Useful for probability expectation.
38 / 50
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.
39 / 50
Solve for y: 3y + 12 = 0.
Subtract 12: 3y = −12 → divide by 3 → y = −4. Linear equation isolating variable via inverse operations.
40 / 50
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.”
41 / 50
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.
42 / 50
What is (2^5) ÷ (2^3)?
Subtract exponents when dividing like bases: 5 − 3 = 2 → 2² = 4. So numeric value is 4. Option D duplicates numeric result; A is symbolic.
43 / 50
Which sentence uses parallel structure?
Parallelism requires same grammatical form: gerunds “dancing, swimming, biking” match. Others mix infinitive and gerund, breaking parallel structure.
44 / 50
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.
45 / 50
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.
46 / 50
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.”
47 / 50
Choose best revision: “The results are confusing; they, however, are interesting.”
Place “however” after semicolon with comma following it: “…,; however, …” Or better: “The results are confusing; however, they are interesting.” Keeps flow and punctuation.
48 / 50
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.
49 / 50
Which sentence correctly uses “affect” vs “effect”?
“Affect” is verb meaning influence. “Effect” is usually noun meaning result. So “will affect small businesses” is correct. Option C misuses noun/adjective.
50 / 50
Choose the best verb tense: “By noon tomorrow, she ______ the report.”
Future perfect (“will have finished”) expresses completion by a future time (noon tomorrow). “Will finish” is simple future, not specific to completion by that time.
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