Algebra: Solving for a Variable
This worksheet focuses on solving linear and quadratic equations for a single variable, including equations with fractions and absolute values.
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Algebra: Solving for a Variable
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Read each question carefully and solve for the indicated variable. Show all your work.
1. Solve for x: 5x + 7 = 32
2. Solve for y: 4(y - 3) = 2y + 6
3. Solve for a: (a/3) + 5 = 12 a =
4. Solve for b: (2b - 1)/4 = (b + 3)/2 b =
5. Solve for x: x² - 9 = 0
6. Solve for y: y² + 5y + 6 = 0
7. The equation |x - 2| = 5 has only one solution.
True
False
Match each equation on the left with its correct solution on the right.
8. 3x - 1 = 8
a. x = 5
9. 2(x + 1) = 12
b. x = 3
10. x/2 + 3 = 7
c. x = 8
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