Rearranging Equations Worksheet
Practice rearranging linear equations to solve for different variables, suitable for Grade 7 math students.
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Rearranging Equations
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Read each question carefully and rearrange the given equation to solve for the specified variable. Show your work.
1. Rearrange the equation 5x + 3 = 18 to solve for x.
2. Solve for y in the equation 2y - 7 = 11.
3. To solve x - 9 = 15 for x, you would 9 to both sides of the equation.
4. In the equation 4z = 20, to isolate z, you need to both sides by 4.
5. Which operation would you use first to solve 3x + 5 = 20 for x?
Add 5
Subtract 5
Multiply by 3
Divide by 3
6. If 1/2a = 10, what is the value of a?
5
10
15
20
7. To solve for x in x/4 = 7, you multiply both sides by 4.
True
False
8. The equation P = 2l + 2w can be rearranged to l = P - 2w / 2.
True
False
9. The image below represents a balanced equation. If the total weight is 20 units and one side has 2 blocks of 3 units each, what is the weight of the unknown block on the other side? Write an equation and solve.
10. Rearrange the formula for the area of a rectangle, A = lw, to solve for the width (w).