CAHSEE Math 3 — Questions and Answers
Question 1: Solve for x: 5x − 3 = 2x + 9
- x = 2
- x = 3
- x = 4 (Correct answer)
- x = 6
Correct answer: x = 4
Subtract 2x from both sides: 3x − 3 = 9, then add 3: 3x = 12, so x = 4.
Question 2: A rectangle has a length of 12 cm and a width of 7 cm. What is its area?
- 38 cm²
- 72 cm²
- 84 cm² (Correct answer)
- 96 cm²
Correct answer: 84 cm²
Area = length × width = 12 × 7 = 84 cm².
Question 3: Which number is irrational?
- √16
- √25
- √36
- √20 (Correct answer)
Correct answer: √20
√20 cannot be simplified to a whole number or fraction, making it irrational.
Question 4: If y = 2x² − 3, what is y when x = −3?
- −21
- 9
- 15 (Correct answer)
- 21
Correct answer: 15
y = 2(−3)² − 3 = 2(9) − 3 = 18 − 3 = 15.
Question 5: The circumference of a circle is 31.4 cm. What is its radius? (Use π ≈ 3.14)
- 3 cm
- 4 cm
- 5 cm (Correct answer)
- 6 cm
Correct answer: 5 cm
C = 2πr → 31.4 = 2 × 3.14 × r → r = 31.4 / 6.28 = 5 cm.
Question 6: Which inequality represents all values of x less than or equal to 7?
- x < 7
- x > 7
- x ≥ 7
- x ≤ 7 (Correct answer)
Correct answer: x ≤ 7
x ≤ 7 means x is less than or equal to 7.
Question 7: A car travels 150 miles in 2.5 hours. What is its average speed in miles per hour?
- 45 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance / time = 150 / 2.5 = 60 mph.
CAHSEE Math 3
Solve for x: 5x − 3 = 2x + 9