# 2-step Equality Worksheet

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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

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

 2y + 4 ≥ 8 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 2y - 3 ≥ 5 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 -2y + 1 ≥ 7 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 -3y + 1 ≥ -8 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 -3y - 5 ≥ 10 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 2y - 0.5 > 5.5 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 3x + 1.5 > 4.5 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 5y - 3 > 4.5 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 -5y + 2 > 8.5 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3 -9y - 3.5 > 1 ??? y ≥ 4 y > 1.5 y ≤ -5 y ≤ -3 y < -0.5 y > 2 y < -1.3 y ≥ 2 y > 3 y ≤ 3

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