Solve Two-Step Linear Inequalities Worksheet

6 problems

Two-step linear inequalities is an inequality in which a variable is isolated on one side of the inequality symbol which requires two steps to solve. It involves finding the value of the variable that satisfies the given inequality. 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 appropriate operations.

For example: Solve for `g: 5g–7<3`

Algebra 1
One-Variable Inequalities

How Will This Worksheet on "Solve Two-Step Linear Inequalities" Benefit Your Students' Learning?

  • It helps in developing problem-solving skills as students need to examine the inequality, and need to use different mathematical operations to find the solution.
  • It helps us to have a better understanding of algebraic concepts such as handling equations, using inverse operations, and understanding the properties of inequalities.
  • It helps us to understand how change in value of the variable affects the relationship betw...
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Solved Example

Q. Solve for rr.\newline 2r6<22r - 6 < 2
  1. Add 66 to isolate variable: Add 66 to both sides of the inequality to isolate the term with the variable rr. \newline2r6+6<2+62r - 6 + 6 < 2 + 6\newlineThis simplifies to:\newline2r<82r < 8
  2. Divide by 22 to solve: Divide both sides of the inequality by 22 to solve for rr.\newline2r2<82\frac{2r}{2} < \frac{8}{2}\newlineThis simplifies to:r<4r < 4

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