Rearranging Equations Worksheet
Practice rearranging simple algebraic equations to solve for different variables.
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Rearranging Equations
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Read each question carefully and follow the instructions to rearrange the equations or solve for the unknown variable. Remember to keep the equation balanced!
Think of an equation like a balance scale. Whatever you do to one side, you must do to the other to keep it balanced.

1. To move a term that is adding on one side, you must it from both sides.
2. To move a term that is subtracting on one side, you must it to both sides.
3. To move a term that is multiplying on one side, you must both sides by it.
4. To move a term that is dividing on one side, you must both sides by it.
1. Solve for x: x + 7 = 15
2. Solve for x: x - 12 = 8
1. Solve for x: 3x = 21
2. Solve for x: x / 5 = 6
1. If 4 + y = 10, what is the value of y?
4
6
10
14
2. Which operation would you use to solve for 'a' in the equation a - 9 = 20?
Subtract 9 from both sides
Add 9 to both sides
Multiply both sides by 9
Divide both sides by 9
1. To solve for 'z' in the equation 5z = 30, you should divide both sides by 5.
True
False
2. If you have the equation a + b = c, and you want to solve for 'b', you would subtract 'c' from both sides.
True
False
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