Solve Multi-Step Linear Equations Worksheet

6 problems

Solving multi-step linear equations involves carrying out a series of math operations to find the value of the variable in a linear equation. To find the value of the variable, mathematical operations such as addition, subtraction, distribution, etc are required. Through these steps, the aim is to solve the linear equations by isolating the variable on one side of the equation. In these worksheets, students will perform various operations to solve the linear equation.


Find the value of  `x`.

`2(x − 10) = 6`

Algebra 1
One-Variable Equations

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

  • Solving multi-step linear equations enhances problem-solving skills.
  • Helps to develop a deeper understanding of concepts such as inverse operations, distribution, and order of operations.
  • Helps in becoming proficient in the basic mathematical principles such as arithmetic op...
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Solved Example

Q. Solve for tt.\newline2(t12)=62(t - 12) = 6
  1. Distribute 22: Distribute the 22 across the parentheses.\newlineWe need to apply the distributive property to remove the parentheses. This means we multiply 22 by each term inside the parentheses.\newline2(t12)=2t2122(t − 12) = 2\cdot t − 2\cdot 12\newline2t24=62t − 24 = 6
  2. Add 2424: Add 2424 to both sides of the equation to isolate the term with the variable tt. We want to get tt by itself on one side of the equation, so we need to undo the subtraction of 2424. 2t24+24=6+242t - 24 + 24 = 6 + 24 2t=302t = 30
  3. Divide by 22: Divide both sides of the equation by 22 to solve for tt. Now we divide both sides by 22 to find the value of tt. 2t2=302\frac{2t}{2} = \frac{30}{2} t=15t = 15

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