CHSPE Mathematics - Algebra & Functions 3

Question 1

What is the area of a triangle with base 10 cm and height 6 cm?

Accepted Answer

30 cm²

Answer

Area = (1/2) × base × height = 0.5 × 10 × 6 = 30 cm².

Question 2

Which value of x makes the equation 5x − 10 = 2x + 8 true?

Accepted Answer

x = 6

Answer

3x = 18; x = 6.

Question 3

A rectangle has a perimeter of 36 cm and a width of 8 cm. What is its length?

Accepted Answer

10 cm

Answer

Perimeter = 2(l + w); 36 = 2(l + 8); l + 8 = 18; l = 10 cm.

Question 4

Which table of values represents a linear relationship?

Accepted Answer

x: 1,2,3; y: 3,5,7

Answer

In x: 1,2,3; y: 3,5,7, y increases by 2 for every 1-unit increase in x, showing a constant rate (linear).

Question 5

Solve: (x/4) + 3 = 7

Accepted Answer

x = 16

Answer

x/4 = 4; x = 16.

CHSPE - California High School Proficiency Examination Practice Test