These worksheets teach your students how to balance equations with inequalities using multiplication and division.

Home > Math Worksheets > Inequalities > Solving Inequalities by Multiplying or Dividing

Tips for Solving Inequalities by Multiplying or Dividing - We can solve our mathematics problems by solving inequalities with the help of multiply and division properties. You can also apply the most essential rule while solving inequalities that is the involvement of negative numbers especially when the case will be multiplication and division. You can learn the tips for solving inequalities by multiplication and division with the help of its properties. Multiplicative Property of Inequality - The equality will be true when you multiply inequality side with the same positive one. It will also be true when you reverse the inequality symbol and the multiply the both side of an inequality by the similar negative number. Inequality and Division Property - The inequality will be true when you apply the following conditions while solving inequality problems; Dividing both sides of an inequality by the same positive number. Dividing both sides of an inequality through the same negative number. Reversing the inequality symbol - Example in terms of multiplication and division - The division and multiplication of inequality is similar to the way of multiplying and dividing the parts of traditional equations. To understand this, you will need to consider the following examples; 10x + 15 ≤ 25 + 5x, 10x + 15 - 15 ≤ 25 - 15 + 5x, 10x - 5x ≤ 10 + 5x - 5x, 5x ≤ 10, x ≤ 2

Operations in inequalities differ from equations because certain operations will cause the greater than or less than sign to flip. If we multiply or divide an inequality by a negative number then the sign of the inequality becomes reversed. This also holds true in a less than and/or equal sign and a greater than and/or equal sign. If we perform any basic operation to both sides of the inequality with positive numbers, the sign of inequality stays the same. These worksheets explain how to balance equations with inequalities using multiplication and division. The key to understanding these problems is to identify if a negative value is involved with the process.



Get Free Worksheets In Your Inbox!

Print Solving Inequalities by Multiplying or Dividing Worksheets

Click the buttons to print each worksheet and answer key.

Solving Inequalities by Multiplying or Dividing Lesson

If we multiply or divide the inequality by a negative number then the sign of the inequality is reversed.

Print Now!

Lesson and Practice

Students will solve inequalities by using these common operations. A sample problem is solved and two practice problems are provided.

Print

Worksheet

We can add, subtract, multiply or divide any number from both sides of an inequality. This will make no difference in the inequality.

Print

Practice

Bring these statements to an end game, conclusion. Ten problems are provided.

Print

Drill

There are eight problems provided to practice this skill more in a drill format.

Print

Warm Up

This is a good way to start a lesson on this topic.

Print

Multiply/Divide to Solve Inequalities Lesson

This lessons explains how to bring these inequalities to level where you can isolate the variable. A sample problem is solved.

Print

Lesson and Practice

This page gives you a full walk through on how to complete these types of problems.

Print

Skill Worksheet

Another series of exercises to get more out of this topic for your students.

Print

Nudge Practice

You will write these sentences in math statement form. Example: Three-sevenths of a number is less than negative two-thirds.

Print

Drill

State whether these math statements are true or false.

Print

Warm Up

Complete the following math statements with the appropriate signs.

Print

Basic Skills Worksheet

Get the given statement in a form that isolates the variable that is given.

Print

Basic Skills Practice

Students will solve the inequalities using basic skills. Ten problems are provided.

Print

Intermediate Skills Worksheet

Students will solve these intermediate-level exercises. Eight problems are provided.

Print

Intermediate Skills Practice

A series of exercises that will require you to make a wide number of steps. Ten problems are provided.

Print

Intermediate Skills Drill

Students will gain proficiency with the skill through a varied array of steps and math moves.

Print