CHSPE Mathematics - Algebra & Functions 2

Question 1

What is the solution to the system: y = x + 2 and y = 3x − 4?

Accepted Answer

(3, 5)

Answer

Setting equal: x + 2 = 3x − 4 → 6 = 2x → x = 3; y = 5.

Question 2

Simplify: 4x² + 3x − 2x² + x

Accepted Answer

2x² + 4x

Answer

(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?

Accepted Answer

C = 25 + 0.10t

Answer

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?

Accepted Answer

6

Answer

3(2²) − 2(3) = 3(4) − 6 = 12 − 6 = 6.

Question 5

Factor the expression: x² − 9

Accepted Answer

(x + 3)(x − 3)

Answer

x² − 9 is a difference of squares: (x + 3)(x − 3).

CHSPE - California High School Proficiency Examination Practice Test