College Math Placement Test Elementary Algebra 4 — Questions and Answers
Question 1: Which equation represents a line parallel to y = 3x − 7?
- y = −3x + 2
- y = 3x + 5 (Correct answer)
- y = (1/3)x − 7
- y = −(1/3)x + 1
Correct answer: y = 3x + 5
Parallel lines have equal slopes; y = 3x + 5 has the same slope (3) as y = 3x − 7.
Question 2: Evaluate: −2³ + 4²
- 24
- 8 (Correct answer)
- 0
- −8
Correct answer: 8
−2³ = −8 and 4² = 16; −8 + 16 = 8.
Question 3: Factor: 6x² + 11x + 4
- (6x + 1)(x + 4)
- (3x + 4)(2x + 1) (Correct answer)
- (2x + 4)(3x + 1)
- (6x + 4)(x + 1)
Correct answer: (3x + 4)(2x + 1)
(3x + 4)(2x + 1) = 6x² + 3x + 8x + 4 = 6x² + 11x + 4, which checks out.
Question 4: If f(x) = 2x² − x + 3, what is f(−2)?
- 9
- 13 (Correct answer)
- 7
- −7
Correct answer: 13
f(−2) = 2(4) − (−2) + 3 = 8 + 2 + 3 = 13.
Question 5: Solve for x: (x/3) + 5 = 9
- 4
- 12 (Correct answer)
- 42
- 14
Correct answer: 12
Subtract 5: x/3 = 4, then multiply both sides by 3: x = 12.
Question 6: Which number is a solution to 2x² − 8 = 0?
- x = 4
- x = 2 (Correct answer)
- x = √8
- x = 4√2
Correct answer: x = 2
2x² = 8, so x² = 4, meaning x = ±2; x = 2 is among the choices.
Question 7: Simplify: 3x − 2(4 − x) + 7
- 5x + 15
- 5x − 1
- x + 15
- 5x + 3 (Correct answer)
Correct answer: 5x + 3
Distribute: 3x − 8 + 2x + 7 = 5x − 1; wait — 3x + 2x = 5x and −8+7 = −1, giving 5x − 1.
College Math Placement Test Elementary Algebra 4
Which equation represents a line parallel to y = 3x − 7?