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Solving 6th Grade Inequalities Worksheets Explained

An inequality is a mathematical sentence that compares expressions. It contains the symbols <, >, ≥ or ≤. These solving inequalities worksheets for grade 6 consist of a variety of problems in which inequalities are used to find the range of solutions for a specific problem. These 6th grade solving inequalities worksheets help students to recall and examine the correct procedure and concepts related to solving inequalities.

The solving inequalities worksheets for sixth grade consist of problems based on the following topics:

  • Writing and graphing an inequality expression: A solution of an equality is a value that makes the inequality true. An inequality can have more than one solution. The set of all solutions of the inequality is called the solution set. We can also draw a graph of an inequality in which all the solutions of the inequality are represented on a number line.
  • Solving an inequality using addition and subtraction: When a student adds the same number on each side of an inequality, the inequality remains the same, and when a student subtracts the same number from each side of an inequality, the inequality remains true. 
  • Solving an inequality using multiplication and division: When a student multiplies or divides each side of an inequality by the same positive number, the inequality remains true.
  • Solving two-step inequalities: These sixth grade worksheets on inequalities include problems that require a student to apply addition, subtraction, multiplication or division operations to come up with an answer.

  

If you feel the need to refresh your understanding of solving inequalities as a concept, click on the following links:

Benefits of Solving Inequalities Grade 6 inequalities Worksheets

  • Solving inequalities problems (Easy): These grade 6 solving inequalities worksheets are beneficial in assisting the student to remember how to investigate and approach problems with solving inequalities. At the initial stages students begin to solve worksheets by working on fundamental problems where addition and subtraction operations are applied on inequalities.
  • Solving inequalities problems (Medium): Printable sixth grade solving inequalities worksheets enable students to relate to real life situations in which solving inequalities are commonly observed such as an inequality expression related to the speed of vehicles. It also helps students to strengthen their ability to solve problems related to inequalities.
  • Solving inequalities problems (Hard): Online and printable free for grade 6 solving inequalities worksheets encourage students to understand particular types of problems where two or more steps are required to arrive at the solution. As a result, students are better equipped to write solutions for more complex problems. These worksheets also assist students in developing their problem-solving abilities for upcoming grades.    

Printable PDFs and Online Worksheets

Free printable 6th grade solving inequalities worksheets act as an excellent resource to boost skills related to solving problems on solving inequalities, and to prepare students for school tests and other aptitude exams. Solving inequalities worksheets assists students to comprehensively understand methods and the correct procedure of solving problems. Also, as the problems are descriptive a student has to frame the situation into a mathematical expression. Attempting challenging problems that appear in higher grades is an added advantage. These solving inequalities worksheets for 6th grade cover the application of different types of methods to solve problems related to inequalities. Solving inequalities worksheets that are web-based and available on the BYJU’S Math website, make learning about the concept solving inequalities interesting. The online interactive worksheets test a student’s knowledge on solving problems by applying the most appropriate method. Timed worksheets also help the student to enhance  time management skills, especially while solving particular types of problems. The student can also compare scores and time taken for a worksheet with friends and challenge them as well.

Frequently Asked Questions

The solution of an inequality is a value that makes the inequality true. An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set.

When students solve worksheets on their own, it promotes active learning as they feel a sense of accomplishment. It raises the curiosity level about solving inequalities, especially in relation to specific topics within this chapter, and in turn, enables them to take up more challenging problems. In the solving inequalities worksheets by BYJU’S Math, students also learn the method of applying step-wise solutions that further strengthens their understanding of operations related to solving inequalities.

Yes, the 6th grade solving inequalities worksheets help strengthen the following rules and how they do not affect a change in inequality expressions:

  • Add or subtract the same number on both sides of an inequality
  • Multiply or divide the same positive number on both sides of an inequality
  • Simplify one side of the equation if required

These free online 6th grade interactive solving inequalities worksheets link learning multiple concepts with a fun element. These worksheets follow the common core math structure and assist the student to be completely familiar with the methods and terms used in the chapter on inequalities.

Following are some uses of inequality in our daily life that are referred in the inequalities worksheets:

  • Speed limit of vehicles
  • In health care
  • Time taken to reach the destination
  • Age restriction