College Math Placement Test Elementary Algebra 3

Question 1

What is the slope of the line passing through (2, 1) and (6, 9)?

Accepted Answer

2

Answer

Slope = (9−1)/(6−2) = 8/4 = 2.

Question 2

Solve the inequality: −3x + 6 > 15

Accepted Answer

x < −3

Answer

Subtract 6: −3x > 9, then divide by −3 and flip the inequality: x < −3.

Question 3

What is the y-intercept of the line 5x − 2y = 10?

Accepted Answer

−5

Answer

Set x = 0: −2y = 10, so y = −5.

Question 4

Solve the system: x + y = 8 and x − y = 2

Accepted Answer

x = 5, y = 3

Answer

Adding the equations: 2x = 10, so x = 5; substituting back gives y = 3.

Question 5

Which of the following is NOT a function?

Accepted Answer

x = 4

Answer

x = 4 is a vertical line, and a vertical line fails the vertical line test, so it does not represent a function.

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