CHSPE Algebra 4

Question 1

What are the solutions to x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.

Question 2

Simplify: (x² - 4)/(x + 2)

Accepted Answer

x - 2

Answer

Factor the numerator as (x + 2)(x - 2), then cancel (x + 2) to get x - 2.

Question 3

Marcus earns $12 per hour plus a $25 bonus per day. Which equation shows his daily earnings E for h hours worked?

Accepted Answer

E = 12h + 25

Answer

Hourly pay is 12h and the flat bonus is 25, so E = 12h + 25.

Question 4

What is the value of 5 × 10³ + 3 × 10² + 7 × 10⁰?

Accepted Answer

5,307

Answer

5,000 + 300 + 7 = 5,307.

Question 5

If the product of two consecutive even integers is 48, what are the integers?

Accepted Answer

6 and 8

Answer

6 × 8 = 48, and 6 and 8 are consecutive even integers.

California High School Proficiency Exam Practice Test