Solve One-Step Linear Inequalities Using Multiplication And Division Worksheet

6 problems

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.

Algebra 1
One-Variable Inequalities

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 ...
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Solved Example

Q. Solve for $c$. $\newline$$4c \leq 8$
Solution:
1. Identify Operation: Identify the operation needed to isolate $c$. Since $4$ is multiplied by $c$ in $4c \leq 8$, we should use division to isolate $c$.
2. Divide by $4$: Divide both sides of the inequality by $4$ to solve for $c$.$\newline$$4c \leq 8$$\frac{4c}{4} \leq \frac{8}{4}$$c \leq 2$

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