CHSPE Mathematics 2

Question 1

A store marks up the cost of an item by 40%. If the cost is $35, what is the selling price?

Accepted Answer

$49.00

Answer

40% of $35 is $14, and $35 + $14 = $49.00.

Question 2

Which of the following is equivalent to 3x² − 12x?

Accepted Answer

3x(x − 4)

Answer

Factor out 3x from each term: 3x² − 12x = 3x(x − 4).

Question 3

If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many students are in the class total?

Accepted Answer

64

Answer

24 boys ÷ 3 = 8 per part; 8 parts × (3+5) = 64 students total.

Question 4

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 − 5) ÷ (6 − 2) = 8 ÷ 4 = 2.

Question 5

A triangle has angles measuring 45° and 75°. What is the measure of the third angle?

Accepted Answer

60°

Answer

The angles of a triangle sum to 180°, so 180 − 45 − 75 = 60°.

California High School Proficiency Exam Practice Test