College Math Placement Test Elementary Algebra 4

Question 1

Which equation represents a line parallel to y = 3x − 7?

Accepted Answer

y = 3x + 5

Answer

Parallel lines have equal slopes; y = 3x + 5 has the same slope (3) as y = 3x − 7.

Question 2

Evaluate: −2³ + 4²

Accepted Answer

8

Answer

−2³ = −8 and 4² = 16; −8 + 16 = 8.

Question 3

Factor: 6x² + 11x + 4

Accepted Answer

(3x + 4)(2x + 1)

Answer

(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)?

Accepted Answer

13

Answer

f(−2) = 2(4) − (−2) + 3 = 8 + 2 + 3 = 13.

Question 5

Solve for x: (x/3) + 5 = 9

Accepted Answer

12

Answer

Subtract 5: x/3 = 4, then multiply both sides by 3: x = 12.

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