Solving Three-Step Equations
A Grade 7 math worksheet focused on solving linear equations requiring three steps, including combining like terms, distribution, and inverse operations.
Includes
Standards
Topics
Solving Three-Step Equations
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Date:
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Read each question carefully and solve for the variable. Show your work for full credit.
1. Solve for x: 3x + 5 - x = 17
2. Solve for y: 2(y - 4) + 10 = 20
3. To solve the equation 4x - 7 = 13, the first step is to 7 to both sides.
4. In the equation 5(z + 2) = 30, the first step is to use the property.
5. The solution to 2x + 6 = 18 is x = 6.
True
False
6. Combining like terms is always the first step when solving a three-step equation.
True
False
7. Which operation should be performed first to solve 5x - 8 + 2x = 27?
Add 8 to both sides
Subtract 2x from both sides
Combine 5x and 2x
Divide by 5
8. What is the value of n in the equation 4n + 12 = 3n + 20?
n = 8
n = 12
n = 20
n = 32
9. Sarah bought 3 notebooks and a pen for $1.50. If she spent a total of $7.50, and each notebook cost the same amount, write and solve a three-step equation to find the cost of one notebook.
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