Worksheet

Two-step inequality Worksheet

4 problems

Inequality is an important topic in mathematics. A mathematical inequality represents the relationship between two expressions based on the inequality symbol. It represents the comparative size of two given values with respect to each other. The inequality symbols are:

  • Not equal to (≠)
  • Less than (<)  
  • Greater than (>)
  • Less than equal to (≤) and 
  • Greater than equal to (≥) 

Example: To show 6 is unequal to 2, it can be shown as 6 ≠ 2.

Grade 7
Expressions, Equations, And Inequalities

Example to Solve the Two-Step Inequality Problem

 

Let’s consider the given example to learn how to solve a 2-step inequality problem. 

3a + 5 < 11, where 5 and 11 are constants, ‘a’ is a variable, and 3 is the coefficient.

 

 

 

 

Step 1: Add or subtract the constants given on both sides of the inequality. In the inequality given in the example, 5 will be subtracted from 11 when it moves from L.H.S to R.H.S.

  • 3a < 11 - 5
  • 3a < 6

Step 2: Divide or multiply the other side of the inequality using the coefficient of variable. 

  • a < 6/3
  • a < 3 

Why Should You Use a Two-Step Inequalities Worksheet for Your Students?

 

Solving 2-step inequalities problems using a step-by-step method would help you...

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