Grade 8 Multi-step Equations Worksheet
Practice solving multi-step equations involving integers, fractions, and decimals for 8th-grade math students.
Includes
Standards
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Multi-step Equations Practice
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Solve each multi-step equation. Show your work clearly for full credit. Remember to simplify both sides of the equation before isolating the variable.
1. Solve for x: 3x + 7 = 22
2. Solve for y: 5y - 12 = 3y + 4
3. Solve for z: 2(z + 5) - 3 = 17
4. Solve for a: (1/2)a + 3 = 7
5. Solve for b: 0.4b - 1.5 = 2.5
6. Solve for c: (2/3)c - 1 = (1/3)c + 5
7. Which value of x satisfies the equation: 4x - 8 = 2x + 10?
x = 1
x = 9
x = 18
x = 2
8. What is the solution to the equation: -2(m + 3) = 14?
m = -10
m = 10
m = -7
m = 7
9. To solve a multi-step equation, the first step is often to on each side of the equation.
10. When moving a term from one side of the equation to the other, you must use the operation.
11. The equation 3x + 5 = 3x - 2 has no solution.
True
False
12. Distributing a negative number requires changing the sign of each term inside the parentheses.
True
False
13. A number is multiplied by 5, and then 8 is subtracted from the product. The result is 17. What is the number?
Think of an equation like a balance scale. Whatever you do to one side, you must do to the other to keep it balanced.
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