CHSPE Mathematics - Algebra & Functions 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 3
- x = 4
- x = 5 (Correct answer)
- x = 6
Correct answer: x = 5
3x = 22 − 7 = 15; x = 15 ÷ 3 = 5.
Question 2: Which graph represents a linear function?
- A curved parabola
- A straight line (Correct answer)
- A circle
- A zigzag line
Correct answer: A straight line
A linear function always produces a straight-line graph.
Question 3: What is the slope of a line passing through (2, 3) and (6, 11)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 4: If f(x) = 2x − 4, what is f(5)?
- 4
- 6 (Correct answer)
- 8
- 10
Correct answer: 6
f(5) = 2(5) − 4 = 10 − 4 = 6.
Question 5: Solve the inequality: 2x − 3 > 7
- x > 2
- x > 5 (Correct answer)
- x < 5
- x > 10
Correct answer: x > 5
2x > 10; x > 5.
Question 6: Which equation represents the line with slope 3 and y-intercept −2?
- y = −2x + 3
- y = 3x − 2 (Correct answer)
- y = 2x − 3
- y = −3x + 2
Correct answer: y = 3x − 2
Slope-intercept form is y = mx + b, so slope 3 and y-intercept −2 gives y = 3x − 2.
CHSPE Mathematics - Algebra & Functions 1
Solve for x: 3x + 7 = 22