COMPASS Algebra 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- 5 (Correct answer)
- 4
- 6
- 3
Correct answer: 5
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)?
- 2 (Correct answer)
- 1/2
- 4
- 3
Correct answer: 2
Slope = (11 − 3) / (6 − 2) = 8/4 = 2.
Question 3: Factor completely: x² − 9
- (x − 3)(x + 3) (Correct answer)
- (x − 9)(x + 1)
- (x − 3)²
- (x + 3)²
Correct answer: (x − 3)(x + 3)
x² − 9 is a difference of squares: (x − 3)(x + 3).
Question 4: If f(x) = 2x² − 3x + 1, what is f(2)?
- 3 (Correct answer)
- 5
- 7
- 1
Correct answer: 3
f(2) = 2(4) − 3(2) + 1 = 8 − 6 + 1 = 3.
Question 5: Solve the inequality: 2x − 5 > 9
- x > 7 (Correct answer)
- x > 4
- x < 7
- x ≥ 7
Correct answer: x > 7
Add 5: 2x > 14, then divide by 2: x > 7.
Question 6: What is the y-intercept of the line y = 3x − 4?
- −4 (Correct answer)
- 3
- 4
- 0
Correct answer: −4
In slope-intercept form y = mx + b, the y-intercept is b = −4.
COMPASS Algebra 1
Solve for x: 3x + 7 = 22