Solve Linear Inequalities Worksheet

Algebra 2
Inequalities

Total questions - 6

Do you want to see how your students perform in this assignment?

How Will This Worksheet on "Solve Linear Inequalities" Benefit Your Student's Learning?

  • Reinforces understanding of linear inequalities and their solutions.
  • Develops critical thinking and analytical skills through problem-solving.
  • Enhances interpretation of inequalities on number lines or coordinate planes.
  • Applies math concepts to real-world scenarios through inequality modeling.
  • Promotes logical reasoning in interpreting and evaluating inequality solutions.
  • Prepares students for assessments with inequality-solving components.
  • Encourages self-directed learning and builds confidence in problem-solving abilities.

How to Solve Linear Inequalities?

  • Use addition, subtraction, multiplication, or division to isolate the variable on one side of the inequality.
  • Simplify both sides of the inequality as much as possible (combine like terms, distribute if needed).
  • If you multiply or divide both sides of the inequality by a negative number, flip the inequality sign.
  • Perform the necessary arithmetic operations to isolate the variable.
  • Write the solution in inequality form, interval notation, or graphically on a number line.
  • Substitute the solution back into the original inequality to ensure it makes the inequality true.

Solved Example

Q. Solve for rr.\newline6(r1)2>106(r - 1) - 2 > 10
Solution:
  1. Distribute and Simplify: 6(r1)2>106(r - 1) - 2 > 10\newlineFirst, distribute the 66 across the terms inside the parentheses.\newline6×r6×12>106 \times r - 6 \times 1 - 2 > 10\newline6r62>106r - 6 - 2 > 10
  2. Combine Like Terms: 6r62>106r - 6 - 2 > 10\newlineCombine like terms on the left side.\newline6r8>106r - 8 > 10
  3. Add to Isolate: 6r8>106r - 8 > 10\newlineAdd 88 to both sides to isolate the term with the variable rr.\newline6r8+8>10+86r - 8 + 8 > 10 + 8\newline6r>186r > 18
  4. Divide to Solve: 6r>186r > 18\newlineDivide both sides by 66 to solve for rr.\newline6r6>186\frac{6r}{6} > \frac{18}{6}\newliner>3r > 3
50,000+ teachers over use Byte!

Create your unique worksheets

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconTrack your student’s performance
  • star-iconIdentify and fill knowledge gaps
Create your worksheet now

About Worksheet

Algebra 2
Inequalities

Solving linear inequalities involves finding the range of values for a variable that satisfies an inequality. These inequalities are expressed as linear expressions involving variables, constants, and inequality symbols (such as \( < \), \( \leq \), \( > \), \( \geq \)). Solving them requires applying algebraic operations to isolate the variable on one side of the inequality sign. The solutions represent intervals on a number line or in coordinate planes, depicting all possible values that make the inequality true.

50,000+ teachers over the world use Byte!

Digitally assign and customise your worksheet using AI

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconSee how your class performs
  • star-iconIdentify and fill knowledge gaps
Create your own assignment!

Class Performances tracking