CHSPE CHSPE Math 3 — Questions and Answers
Question 1: Which equation represents a line with slope 2 and y-intercept −3?
- y = −3x + 2
- y = 2x − 3 (Correct answer)
- y = −2x + 3
- y = 3x − 2
Correct answer: y = 2x − 3
Slope-intercept form is y = mx + b, where m = 2 and b = −3.
Question 2: A car travels 240 miles in 4 hours. At the same rate, how far will it travel in 7 hours?
- 400 miles
- 420 miles (Correct answer)
- 360 miles
- 480 miles
Correct answer: 420 miles
Speed = 240 ÷ 4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.
Question 3: What is 0.006 written in scientific notation?
- 6 × 10²
- 6 × 10⁻²
- 6 × 10⁻³ (Correct answer)
- 0.6 × 10⁻²
Correct answer: 6 × 10⁻³
Moving the decimal 3 places right gives 6 × 10⁻³.
Question 4: The perimeter of a rectangle is 56 cm. If the width is 10 cm, what is the length?
- 18 cm (Correct answer)
- 36 cm
- 46 cm
- 28 cm
Correct answer: 18 cm
Perimeter = 2l + 2w → 56 = 2l + 20 → 2l = 36 → l = 18 cm.
Question 5: Solve for x: 5x − 9 = 2x + 6
- x = 5 (Correct answer)
- x = 3
- x = 1
- x = 15
Correct answer: x = 5
5x − 2x = 6 + 9 → 3x = 15 → x = 5.
Question 6: A data set is: 4, 7, 7, 9, 13. What is the mean?
- 7
- 8 (Correct answer)
- 9
- 7.5
Correct answer: 8
Sum = 4 + 7 + 7 + 9 + 13 = 40; mean = 40 ÷ 5 = 8.
Question 7: Which expression is equivalent to (x + 3)(x − 2)?
- x² + x − 6 (Correct answer)
- x² + 5x − 6
- x² − x − 6
- x² − 5x + 6
Correct answer: x² + x − 6
FOIL: x² − 2x + 3x − 6 = x² + x − 6.
CHSPE CHSPE Math 3
Which equation represents a line with slope 2 and y-intercept −3?