College Math Placement Test Elementary Algebra 2

Question 1

Solve for x: 3(x − 4) = 2x + 1

Accepted Answer

x = 13

Answer

Distribute: 3x − 12 = 2x + 1, then subtract 2x and add 12 to get x = 13.

Question 2

Which expression is equivalent to (2x²)(3x³)?

Accepted Answer

6x⁵

Answer

Multiply coefficients (2·3 = 6) and add exponents (2+3 = 5) to get 6x⁵.

Question 3

If 4 − 2y = 10, what is the value of y?

Accepted Answer

−3

Answer

Subtract 4 from both sides: −2y = 6, then divide by −2 to get y = −3.

Question 4

Factor completely: x² − 9

Accepted Answer

(x + 3)(x − 3)

Answer

x² − 9 is a difference of squares: a² − b² = (a+b)(a−b), so it factors as (x+3)(x−3).

Question 5

A number is 5 more than twice another number. If the larger number is 17, what is the smaller number?

Accepted Answer

6

Answer

Set up: 17 = 2n + 5, so 2n = 12 and n = 6.

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