Solve One-Step Linear Inequalities Using Multiplication And Division Worksheet

Algebra 1
One-Variable Inequalities

Total questions - 6

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How Will This Worksheet on "Solve One-Step Linear Inequalities Using Multiplication and Division" Benefit Your Students' Learning?

  • It enhances critical-thinking skills as it helps us to learn how to examine the given inequality and use appropriate operations to find the solution.
  • It helps us to understand how quantities are related to each other and what inequality symbols like “`<`”, “`≤`”,” `>`”, “`≥`” means.
  • It prepares us to handle multi-step inequalities and system of inequalities, thus laying a foundation for  more complex mathematical concepts.
  • It enhances basic algebraic concepts such as algebraic manipulation and symbol interpretation.

How to Solve One-Step Linear Inequalities Using Multiplication and Division?

  • 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 cc. \newline4c84c \leq 8
Solution:
  1. Identify Operation: Identify the operation needed to isolate cc. Since 44 is multiplied by cc in 4c84c \leq 8, we should use division to isolate cc.
  2. Divide by 44: Divide both sides of the inequality by 44 to solve for cc.\newline4c84c \leq 84c484\frac{4c}{4} \leq \frac{8}{4}c2c \leq 2
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About Worksheet

Algebra 1
One-Variable Inequalities

A one-step linear inequality 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 with only one mathematical operation, either multiplication or division. When you multiply or divide both sides of an inequality by a negative number, make sure to reverse the inequality sign, this keeps the inequality true. In these worksheets, students will find the value of the variable using a single mathematical operation.

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