Benefits of 7th Grade Solving Inequalities Worksheets

Focuses on core concepts:

Grade 7 Solving Inequalities Online Worksheets are a great resource for students looking to focus on building the foundation of core concepts. They encourage learners to understand the concepts in depth. The 7th Grade Solving Inequalities Worksheets also help learners apply these concepts in different real-life scenarios. 

An interactive way of learning:

Math can be a boring and monotonous subject for some students, but with the help of Grade 7 Online Solving Inequalities Worksheets, students can now learn math in a fun and interactive way. These worksheets feature several games and puzzles that capture the attention of students and spark an interest in the subject. It also helps students develop a sense of competitiveness, challenging them to work harder.

Promotes an organized way of learning:

Grade 7 Solving Inequalities Online Worksheets are designed to help students master these concepts in an organized way. By following a stepwise pattern, students move at their own pace through the worksheets, building a strong foundation as they go. Organized learning will help students understand how to solve inequalities, and they may even begin to develop a liking towards it!

Instills math confidence:

By practicing Grade 7 Solving Inequalities Worksheets, students will become more familiar with the topic. Once they gain clarity on the basic foundational topics, it will be easy for them to understand the complex ones. This develops a sense of confidence among young students, especially when they take exams. 

Grade 7 Solving Inequalities Worksheets Explained:

Students can solve Grade 7 Solving Inequalities Online Worksheets by subtracting, adding, dividing, or multiplying both sides until they are left with a variable.

The inequality will change:

When both sides are multiplied or divided by a negative number.

When the left side is swapped with the right side

Let us have a closer look at solving inequalities:

Symbol Words Examples
< This symbol is called the less than symbol 5x < 25
> This symbol is called the greater than symbol 3x > 1
This symbol is called the greater than or equal to symbol 5 ≥ 2 + x
This symbol is called the less than or equal to symbol 2x ≤ 4
           

Properties of inequalities:

  • If the same number is added to each side of an inequality, it does not change the inequality.

Example:

  1. If x > y, then x + z > y +z 
  2. If x < y, then x + z < y + z
  • If the same number is subtracted from each side of an inequality, it does not change the inequality.

Example:

  1. If x > y, then x - z > y - z
  2. If x < y, then x - z < y - z
  • If each side of an inequality is multiplied by a positive number, it does not change the inequality. 

Example:

  1. If x > y and z > 0, then xz > yz
  2. If x < y and z > 0, then xz < yz
  • If each side of an inequality is multiplied by a negative number, it reverses the inequality.

Example:

  1. If x > y and z < 0, then xz < yz
  2. If x < y and z < 0, then xz > yz
  • If each side of an inequality is divided by a positive number, it does not change the inequality.

Example:

  1. If x > y and z > 0, then x/z > y/z
  2. If x < y and z > 0, then x/z < y/z
  • If each side of an inequality is divided by a negative number, it reverses the inequality.

Example:

  1. If x > y and z < 0, then x/z < y/z
  2. If x < y and z < 0, then x/z > y/z

Representing a solution set on the number line: 

4 - x > -1, x ∊ N, represents the solution set on the number line.

4 - x > -1      ⟹ - x > -1 - 4

                   

                   ⟹ x < 5

    Therefore, solution set = {1, 2, 3, 4 }

        -2      -1          0       1        2      3      4      5      6      7       8                      

Grade 7 Solving Inequalities Worksheets have been designed to be enjoyable yet challenging for a young learner. As a result, they are an excellent resource for middle school children to help develop their math skills and prepare them for higher level math concepts.