CHSPE Mathematics 3

Question 1

Which number is irrational?

Accepted Answer

√20

Answer

√20 cannot be expressed as a fraction because 20 is not a perfect square.

Question 2

Solve for y: 4y − 7 = 2y + 9

Accepted Answer

y = 8

Answer

4y − 2y = 9 + 7 → 2y = 16 → y = 8.

Question 3

A car travels 180 miles in 3 hours. At this rate, how long will it take to travel 270 miles?

Accepted Answer

4.5 hours

Answer

Speed = 60 mph; 270 ÷ 60 = 4.5 hours.

Question 4

What is the median of the data set: 7, 12, 3, 19, 5, 8, 15?

Accepted Answer

8

Answer

Ordered: 3, 5, 7, 8, 12, 15, 19 — the middle value is 8.

Question 5

If f(x) = 2x² − 3, what is f(−3)?

Accepted Answer

15

Answer

f(−3) = 2(−3)² − 3 = 2(9) − 3 = 18 − 3 = 15.

California High School Proficiency Exam Practice Test