CHSPE CHSPE Math 3

Question 1

Which equation represents a line with slope 2 and y-intercept −3?

Accepted Answer

y = 2x − 3

Answer

Slope-intercept form is y = mx + b, where m = 2 and b = −3.

Question 2

A car travels 240 miles in 4 hours. At the same rate, how far will it travel in 7 hours?

Accepted Answer

420 miles

Answer

Speed = 240 ÷ 4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.

Question 3

What is 0.006 written in scientific notation?

Accepted Answer

6 × 10⁻³

Answer

Moving the decimal 3 places right gives 6 × 10⁻³.

Question 4

The perimeter of a rectangle is 56 cm. If the width is 10 cm, what is the length?

Accepted Answer

18 cm

Answer

Perimeter = 2l + 2w → 56 = 2l + 20 → 2l = 36 → l = 18 cm.

Question 5

Solve for x: 5x − 9 = 2x + 6

Accepted Answer

x = 5

Answer

5x − 2x = 6 + 9 → 3x = 15 → x = 5.

California High School Proficiency Exam Practice Test