Three-Step Equations Worksheet
Practice solving three-step linear equations with this Grade 6 math worksheet.
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Three-Step Equations Practice
Name:
Date:
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Solve each equation for the variable. Show your work step-by-step.
1. 3x + 7 - 2 = 20
2. 5y - 12 + 4 = 27
3. To solve the equation 4m + 5 = 25, the first step is to 5 from both sides, which gives 4m = . Then, you by 4 to find m = .
4. In the equation 2(x + 3) = 16, the first step is to both sides by 2, resulting in x + 3 = . Finally, 3 from both sides to get x = .
5. Which of the following is the correct first step to solve 2x - 5 = 15?
Subtract 5 from both sides
Add 5 to both sides
Divide by 2
Multiply by 2
6. To solve 7x + 10 = 31, you should first subtract 10 from both sides.
True
False
7. Sarah bought 3 notebooks and a pen. The pen cost $2. If she spent a total of $11, how much did each notebook cost? Write and solve a three-step equation.
8. Consider the equation 2x + 1 = 7. If we represent 'x' with a block and '1' with a small circle, draw a balance scale to show the initial equation and then the steps to solve it.
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