Grade 9 Solving Linear Equations Worksheets

Start with eight focused practice problems, then use the answer key below to check the worksheet.

Practice Worksheet

Grade 9 Solving Linear Equations Practice

Solve each problem. Show your work.

  1. 1.
    Solve: 8x - 10 = -x + 26
  2. 2.
    Solve: 3x - 11 = -2x + 19
  3. 3.
    Solve: 2x - 8 = -x + 13
  4. 4.
    Solve: 5x - 12 = 4x - 14
  5. 5.
    Solve: 5x - 7 = -2x + 70
  6. 6.
    Solve: 6x - 5 = -5x - 82
  7. 7.
    Solve: 7x + 6 = 3x + 26
  8. 8.
    Solve: 6x = 5x - 7
Show answer key
  1. Question 1: x = 4
  2. Question 2: x = 6
  3. Question 3: x = 7
  4. Question 4: x = -2
  5. Question 5: x = 11
  6. Question 6: x = -7
  7. Question 7: x = 5
  8. Question 8: x = -7

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About These Worksheets

Grade 9 students solve multi-step linear equations as a core part of de-streamed mathematics and use the skill across relations, modelling, and problem solving.

Solving linear equations worksheets for Grade 9 give students focused practice isolating a variable when the equation may include brackets, fractions, negative numbers, or variables on both sides. This is the algebra skill that quietly supports nearly every other unit in high school math, because graphing, slope, systems, quadratics, and trigonometry all eventually ask students to rearrange an equation cleanly.

These worksheets emphasize balance: whatever operation is done to one side must also be done to the other. Students practise simplifying both sides first, collecting variable terms, moving constants, and checking the final solution by substitution. Problems are written to build confidence before adding word problems, where students must define the variable and create the equation themselves. Strong fluency here prevents later mistakes when the math becomes more conceptually demanding.

Skills Practised

  • Solving equations with variables on one or both sides
  • Distributing before isolating the variable
  • Combining like terms inside an equation
  • Solving equations with integer and fraction coefficients
  • Checking solutions by substitution

Parent Tip: High-school equation work can be hard to check mentally. Use the answer key first, then ask your teen to substitute the answer back into the original equation or upload a photo for step checking.

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