Algebra Test Inequalities

Question 1

Solve: x + 5 > 9

Accepted Answer

x > 4

Answer

Subtract 5 from both sides to get x > 4.

Question 2

When must you flip the inequality symbol while solving?

Accepted Answer

When multiplying or dividing by a negative number

Answer

Multiplying or dividing both sides by a negative number reverses the inequality direction.

Question 3

Solve: 3x ≤ 12

Accepted Answer

x ≤ 4

Answer

Divide both sides by 3 to get x ≤ 4.

Question 4

How is x > 3 shown on a number line?

Accepted Answer

Open circle at 3, shading right

Answer

x > 3 uses an open circle (3 not included) with shading to the right.

Question 5

Solve: -2x > 8

Accepted Answer

x < -4

Answer

Divide both sides by -2 and flip the inequality: x < -4.

Algebra Test Practice Test