Solving for a Variable Worksheet
Grade 8 algebra worksheet focused on solving linear equations with one variable, including multi-step problems and equations with variables on both sides.
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Solving for a Variable
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Date:
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Read each question carefully and solve for the variable. Show all your work.
1. Solve for x: x + 7 = 15
2. Solve for y: y - 12 = 4
3. Solve for z: 3z = 21
4. Solve for a: a / 5 = 6
5. Solve for m: 2m + 5 = 17
6. Solve for n: 4n - 3 = 25
7. Solve for p: (p/3) + 2 = 8
8. Solve for k: 5k - 7 = 2k + 8
9. Solve for w: 3w + 10 = 7w - 6
10. Solve for x: 6(x - 2) = 3x + 9
11. Which value of x makes the equation 2x + 4 = 10 true?
x = 2
x = 3
x = 4
x = 7
12. If 9 - y = 16, what is the value of y?
y = -7
y = 7
y = 25
y = -25
13. To solve for a variable, you need to isolate it on one side of the .
14. The first step in solving the equation 3x + 5 = 14 is to 5 from both sides.
15. When you have variables on both sides of an equation, you should first move all variable terms to one side by using operations.
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