Solve Two-Step Linear Equations Worksheet

Algebra 1
One-Variable Equations

Total questions - 6

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

  • These worksheets will help the student in analyzing equations and apply operations to isolate variables.
  • Encourages to think critically and determine which operation should be applied to isolate the variable.
  • Helps the students become better at solving problems step by step.
  • Step by step problem solving builds a strong base for algebra and higher mathematics.

How to Solve Two-Step Linear Equations?

  • Start by performing an inverse operation that can keep the variable term on one side and all other terms on the other side of the equation.
  • Now, combine like terms to isolate the variable term.
  • Then, apply the inverse operation to the variable term to isolate the variable.

Solved Example

Q. Solve for qq.\newline13=4q+513 = 4q + 5\newlineq=q = _____
Solution:
  1. Isolate term with q: First, we need to isolate the term with qq on one side of the equation. To do this, we subtract 55 from both sides of the equation to get rid of the constant term on the right side.\newline135=4q+5513 - 5 = 4q + 5 - 5
  2. Simplify the equation: After subtracting 55 from both sides, we simplify the equation to find the new values on each side.\newline8=4q8 = 4q
  3. Divide by coefficient: Now, to solve for qq, we divide both sides of the equation by 44, which is the coefficient of qq.84=4q4\frac{8}{4} = \frac{4q}{4}
  4. Find the value of qq: After dividing both sides by 44, we find the value of qq.2=q2 = q
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About Worksheet

Algebra 1
One-Variable Equations

Two-step linear equations can be solved in two steps. To solve equations, we apply operations like addition, subtraction, multiplication or division on both sides of the equation. In these worksheet, problems are related with solving for variables in given two-step equations.

For example: Solve `4z − 8 = 4` for `z`.

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