PAPA PAPA Algebra & Functions

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

3x = 22 − 7 = 15, so x = 15 ÷ 3 = 5.

Question 2

Which of the following represents a linear equation?

Accepted Answer

y = 2x + 3

Answer

A linear equation has the form y = mx + b, where the variable x has an exponent of 1.

Question 3

If f(x) = 2x − 4, what is f(6)?

Accepted Answer

8

Answer

f(6) = 2(6) − 4 = 12 − 4 = 8.

Question 4

What is the slope of the line that passes through (0, 2) and (4, 10)?

Accepted Answer

2

Answer

Slope = (10 − 2) ÷ (4 − 0) = 8 ÷ 4 = 2.

Question 5

Which property allows you to write 3(x + 5) as 3x + 15?

Accepted Answer

Distributive property

Answer

The distributive property states that a(b + c) = ab + ac.

(PAPA) Pre-service Academic Performance Assessment Practice Test