CHSPE Mathematics - Algebra & Functions 2 — Questions and Answers
Question 1: What is the solution to the system: y = x + 2 and y = 3x − 4?
- (2, 4)
- (3, 5) (Correct answer)
- (4, 6)
- (1, 3)
Correct answer: (3, 5)
Setting equal: x + 2 = 3x − 4 → 6 = 2x → x = 3; y = 5.
Question 2: Simplify: 4x² + 3x − 2x² + x
- 2x² + 4x (Correct answer)
- 6x² + 4x
- 2x² − 4x
- 4x² + 4x
Correct answer: 2x² + 4x
(4x² − 2x²) + (3x + x) = 2x² + 4x.
Question 3: A phone plan charges $25/month plus $0.10 per text. Which equation gives the total monthly cost C for t texts?
- C = 0.10t
- C = 25 + 0.10t (Correct answer)
- C = 25t + 0.10
- C = 0.10 + 25t
Correct answer: C = 25 + 0.10t
The fixed fee is $25 and the variable part is $0.10 per text, giving C = 25 + 0.10t.
Question 4: What is the value of the expression 3a² − 2b when a = 2 and b = 3?
- 6 (Correct answer)
- 7
- 12
- 3
Correct answer: 6
3(2²) − 2(3) = 3(4) − 6 = 12 − 6 = 6.
Question 5: Factor the expression: x² − 9
- (x − 3)²
- (x + 3)(x − 3) (Correct answer)
- (x − 9)(x + 1)
- (x + 9)(x − 1)
Correct answer: (x + 3)(x − 3)
x² − 9 is a difference of squares: (x + 3)(x − 3).
Question 6: A table shows: x = 1, y = 5; x = 2, y = 8; x = 3, y = 11. What is the rule?
- y = 2x + 3
- y = 3x + 2 (Correct answer)
- y = 4x + 1
- y = 5x
Correct answer: y = 3x + 2
The y-values increase by 3 for each increase of 1 in x, and when x = 0, y = 2, giving y = 3x + 2.
CHSPE Mathematics - Algebra & Functions 2
What is the solution to the system: y = x + 2 and y = 3x − 4?