Solve One-Step Linear Inequalities Using Any Operation Worksheet

Algebra 1
One-Variable Inequalities

Total questions - 0

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How Will This Worksheet on "Solve One-Step Linear Inequalities Using Any Operation" Benefit Your Students' Learning?

  • It enhances critical thinking as students need to examine the inequality and find the appropriate operation to isolate the variable.
  • It helps us to have a better understanding of algebraic concepts such as inverse operations and the properties of equality and inequality.
  • It helps us to understand inequalities better, how to balance them and how to solve the problems.
  • It lays a foundation for handling more complex algebraic problems easily and dealing with topic like systems of equations and inequalities, quadratic inequalities, and linear programming.

How to Solve One-Step Linear Inequalities Using Any Operation?

  • Identify the inverse operation to be used to isolate the variable.
  • Apply the inverse operation to both sides of the inequality and solve for the variable.

Solved Example

Q. Solve for ww.\newlinew+25w + 2 \leq 5
Solution:
  1. Identify Operation: Identify the operation to isolate ww. In the inequality w+25w + 2 \leq 5, the number 22 is being added to ww. To isolate ww, we should use the opposite operation, which is subtraction.
  2. Subtract 22: Subtract 22 from both sides of the inequality to solve for ww.\newlinew+25w + 2 \leq 5\newlinew+2252w + 2 - 2 \leq 5 - 2\newlinew3w \leq 3
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About Worksheet

Algebra 1
One-Variable Inequalities

Solving one-step linear inequalities using any operation is a type of mathematical expression where a single operation is needed to isolate the variable on one side of the inequality symbol. It is an inequality where we find the value of the variable by performing a single mathematical operation like addition, subtraction, multiplication, and division on both sides of the inequality. In these worksheets, students will find the value of the variable using a single mathematical operation.

For example: Solve for `f: 2f≥8`

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