Mastering Two-Step and Multi-Step Inequalities

Which of the following symbols is used to represent an inequality?

• ×

• =

• >

• +

What is the first step in solving the inequality 3X - 4 < 11?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 3

• Divide both sides by 3

When solving 3X - 4 < 11, what do you get after adding 4 to both sides?

• 3X < 11

• 3X < 15

• 3X < 4

• 3X < 7

In the inequality 53 > -3X + 32, what operation is performed to isolate the term with X?

• Add 32 to both sides

• Subtract 32 from both sides

• Multiply both sides by -3

• Divide both sides by -3

When solving 53 > -3X + 32, why don't we switch the inequality sign after subtracting 32?

• Because we are dividing by a negative number

• Because we are multiplying by a negative number

• Because we are subtracting a positive number

• Because we are adding a positive number

What is the result of dividing both sides of the inequality 21 > -3X by -3?

• X < 7

• X > 7

• X < -7

• X > -7

When graphing the inequality X > -7, what type of circle is used on the number line?

• Half-filled circle

• Open circle

• Filled circle

• Closed circle

In the inequality 2(X - 5) + 3 ≤ 7, what is the first step to solve it?

• Subtract 3 from both sides

• Distribute the 2

• Add 5 to both sides

• Divide both sides by 2

After distributing the 2 in 2(X - 5) + 3 ≤ 7, what is the next step?

• Divide both sides by 2

• Combine like terms

• Add 5 to both sides

• Subtract 3 from both sides

What is the final solution to the inequality 2(X - 5) + 3 ≤ 7?

• X ≤ 7

• X ≤ 5

• X ≤ 14

• X ≤ 10