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Math Worksheet

Objective: I can solve 2-step inequalities using addition, subtraction, multiplication and division.

**How to solve 2-step inequalities?**

A one-step inequality is an algebraic inequality that only needs one step to solve.

To solve two-step inequalities, we get the variable by itself by performing the inverse operation.

**Step 1:** Add or subtract the constant on both sides of the equation.

**Step 2:** Eliminate the coefficient through multiplication or division.

This is similar to solving 2-step equations except that whenever we multiply or divide both sides of an inequality by a negative number, we need to reverse the inequality.

**Example:**

2y + 4 > 10, y > 3

-3y - 0.5 ≤ 1, y ≥ 5

Read this if you need more information on how to solve one-step equations.

Match the items on the right to the items on the left.

2y + 4 ≥ 8 | ||

2y - 3 ≥ 5 | ||

-2y + 1 ≥ 7 | ||

-3y + 1 ≥ -8 | ||

-3y - 5 ≥ 10 | ||

2y - 0.5 > 5.5 | ||

3x + 1.5 > 4.5 | ||

5y - 3 > 4.5 | ||

-5y + 2 > 8.5 | ||

-9y - 3.5 > 1 |

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