CAHSEE Math 5 — Questions and Answers
Question 1: A jacket originally costs $80 and is on sale for 25% off. What is the sale price?
- $20
- $55
- $60 (Correct answer)
- $65
Correct answer: $60
25% of $80 = $20 discount; $80 − $20 = $60 sale price.
Question 2: Which of the following ordered pairs is a solution to the equation y = 3x − 1?
- (1, 2)
- (2, 5) (Correct answer)
- (0, 1)
- (3, 7)
Correct answer: (2, 5)
When x = 2: y = 3(2) − 1 = 5, so (2, 5) satisfies the equation.
Question 3: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- √28
Correct answer: 10
By the Pythagorean theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10.
Question 4: Simplify: (2/3) ÷ (4/9)
- 8/27
- 3/2 (Correct answer)
- 6/12
- 2/3
Correct answer: 3/2
Dividing by a fraction means multiplying by its reciprocal: (2/3) × (9/4) = 18/12 = 3/2.
Question 5: A linear function passes through (0, −2) and has slope 3. What is the equation of the line?
- y = 3x + 2
- y = −2x + 3
- y = 3x − 2 (Correct answer)
- y = −3x − 2
Correct answer: y = 3x − 2
Using slope-intercept form y = mx + b with m = 3 and b = −2: y = 3x − 2.
Question 6: Which of the following represents a function?
- {(1,2),(1,3),(2,4)}
- {(2,3),(3,3),(4,3)} (Correct answer)
- {(1,2),(2,3),(1,4)}
- {(5,1),(5,2),(5,3)}
Correct answer: {(2,3),(3,3),(4,3)}
In {(2,3),(3,3),(4,3)}, each x-value is unique, so it is a function.
Question 7: Evaluate: 3² + 4 × 2 − 5
- 8
- 12 (Correct answer)
- 16
- 18
Correct answer: 12
Using order of operations: 3² = 9; 4 × 2 = 8; 9 + 8 − 5 = 12.
CAHSEE Math 5
A jacket originally costs $80 and is on sale for 25% off.
What is the sale price?