Simplifying Equations Worksheet
This worksheet provides practice on simplifying algebraic equations for 8th-grade students, covering combining like terms, distributive property, and solving multi-step equations.
Includes
Standards
Topics
Simplifying Equations
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Read each question carefully and simplify the equations as instructed. Show all your work.
Combine the like terms to simplify each expression.
1. 5x + 3y - 2x + 7y =
2. 10a - 4b - 6a + 2b =
3. 8c + 2d - c - 5d =
Use the distributive property to simplify the expressions.
4. 3(2x + 5) =
5. -4(y - 7) =
6. 2(3a - 4b + 1) =
7. Solve for x: x + 9 = 15
x = 6
x = 24
x = -6
x = 1.6
8. Solve for y: 4y = 28
y = 32
y = 7
y = 24
y = 0.14
Solve each multi-step equation. Show all your work.
9. 3x + 7 = 22
10. 5y - 8 = 17
11. 2(z + 4) = 14
12. 6m - 10 = 2m + 6
Determine if the following statements are true or false.
13. The solution to 2x + 5 = 11 is x = 3.
True
False
14. Distributing a negative number changes the sign of each term inside the parentheses.
True
False
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