CAHSEE Math 3

Question 1

Solve for x: 5x − 3 = 2x + 9

Accepted Answer

x = 4

Answer

Subtract 2x from both sides: 3x − 3 = 9, then add 3: 3x = 12, so x = 4.

Question 2

A rectangle has a length of 12 cm and a width of 7 cm. What is its area?

Accepted Answer

84 cm²

Answer

Area = length × width = 12 × 7 = 84 cm².

Question 3

Which number is irrational?

Accepted Answer

√20

Answer

√20 cannot be simplified to a whole number or fraction, making it irrational.

Question 4

If y = 2x² − 3, what is y when x = −3?

Accepted Answer

15

Answer

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

Question 5

The circumference of a circle is 31.4 cm. What is its radius? (Use π ≈ 3.14)

Accepted Answer

5 cm

Answer

C = 2πr → 31.4 = 2 × 3.14 × r → r = 31.4 / 6.28 = 5 cm.

CAHSEE - California High School Exit Examination Practice Test