CHSPE Algebra 3

Question 1

Which of the following is the equation of a line with slope -½ and y-intercept 4?

Accepted Answer

y = -½x + 4

Answer

Slope-intercept form y = mx + b with m = -½ and b = 4 gives y = -½x + 4.

Question 2

Solve the system: x + y = 7 and x - y = 3. What is x?

Accepted Answer

5

Answer

Adding the equations gives 2x = 10, so x = 5.

Question 3

Which expression is equivalent to (2x³)(3x²)?

Accepted Answer

6x⁵

Answer

Multiply coefficients (2 × 3 = 6) and add exponents (3 + 2 = 5) to get 6x⁵.

Question 4

A rectangle has a length that is 3 more than twice its width. If the perimeter is 48, what is the width?

Accepted Answer

7

Answer

Let w = width; 2(2w + 3) + 2w = 48 → 6w + 6 = 48 → w = 7.

Question 5

What is the y-intercept of the line 4x - 2y = 12?

Accepted Answer

-6

Answer

Solve for y: -2y = -4x + 12 → y = 2x - 6, so the y-intercept is -6.

California High School Proficiency Exam Practice Test