COMPASS Algebra

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

5

Answer

Subtract 7 from both sides: 3x = 15, then divide by 3: x = 5.

Question 2

What is the slope of the line passing through (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (11 − 3) / (6 − 2) = 8/4 = 2.

Question 3

Factor completely: x² − 9

Accepted Answer

(x − 3)(x + 3)

Answer

x² − 9 is a difference of squares: (x − 3)(x + 3).

Question 4

If f(x) = 2x² − 3x + 1, what is f(2)?

Accepted Answer

3

Answer

f(2) = 2(4) − 3(2) + 1 = 8 − 6 + 1 = 3.

Question 5

Solve the inequality: 2x − 5 > 9

Accepted Answer

x > 7

Answer

Add 5: 2x > 14, then divide by 2: x > 7.

COMPASS Practice Test