Accuplacer College Placement ACCUPLACER Quantitative Reasoning, Algebra, and Statistics Test 2 — Questions and Answers
Question 1: Solve for x: 5x − 3 = 2x + 9
- x = 2
- x = 3
- x = 4 (Correct answer)
- x = 6
Correct answer: x = 4
Subtract 2x from both sides to get 3x − 3 = 9, then add 3 and divide by 3 to find x = 4.
Question 2: Which scatterplot description indicates a strong negative correlation?
- Points cluster tightly along a line sloping downward (Correct answer)
- Points are randomly scattered
- Points cluster along a line sloping upward
- Points form a U shape
Correct answer: Points cluster tightly along a line sloping downward
A strong negative correlation means data points fall close to a downward-sloping line.
Question 3: What is the slope of the line passing through (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 4: Which inequality is represented by the statement 'twice a number is at most 14'?
- 2n < 14
- 2n ≤ 14 (Correct answer)
- 2n > 14
- 2n ≥ 14
Correct answer: 2n ≤ 14
'At most 14' means less than or equal to 14, so the inequality is 2n ≤ 14.
Question 5: A survey of 200 students found that 60 prefer math. What percentage prefer math?
- 20%
- 25%
- 30% (Correct answer)
- 40%
Correct answer: 30%
(60 ÷ 200) × 100 = 30%.
Question 6: Simplify: (x³ · x²) ÷ x⁴
- x (Correct answer)
- x²
- x³
- x⁴
Correct answer: x
Multiply exponents in the numerator: x³ · x² = x⁵, then x⁵ ÷ x⁴ = x¹ = x.
Accuplacer College Placement ACCUPLACER Quantitative Reasoning, Algebra, and Statistics Test 2
Solve for x: 5x − 3 = 2x + 9