PAPA PAPA Algebra & Functions 3

Question 1

A linear function has a slope of −2 and passes through (0, 6). What is its equation?

Accepted Answer

y = −2x + 6

Answer

Using y = mx + b with m = −2 and b = 6 gives y = −2x + 6.

Question 2

Solve the inequality: 2x + 1 < 9

Accepted Answer

x < 4

Answer

2x < 9 − 1 = 8, so x < 4.

Question 3

Which statement describes the domain of a function?

Accepted Answer

All possible input values

Answer

The domain is the set of all permissible input values (x-values) for which the function is defined.

Question 4

Evaluate: −3(2x − 4) when x = 1

Accepted Answer

6

Answer

Substitute: −3(2(1) − 4) = −3(2 − 4) = −3(−2) = 6.

Question 5

What is the solution to the system: x + y = 10 and x − y = 4?

Accepted Answer

x = 7, y = 3

Answer

Adding the equations: 2x = 14, so x = 7; substituting: 7 + y = 10, y = 3.

(PAPA) Pre-service Academic Performance Assessment Practice Test