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Multi-Step Equations Practice
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Multi-Step Equations Practice
Show your steps. Simplify each side first when needed, then use inverse operations to isolate the variable. Check solutions by substituting them into the original equation.
Algebra vocabulary
Use the equation 5x + 9 = 34 for the questions in this section.
1.In 5x + 9 = 34, which symbol is the variable?
- 5
- x
- 9
- 34
2.In 5x + 9 = 34, what is the coefficient of x?
3.Match each algebra term to its description for the equation 5x + 9 = 34.
- x
- 5
- 9
- 34
- Constant term
- Variable
- Coefficient
- Right-hand side
Solve multi-step equations
Write each solution and show the steps you used.
4.Solve: 3(x + 4) − 7 = 20.
5.Solve: 7x + 6 − 3x = 26.
6.Solve: 2(3x − 5) + 4 = 24.
7.Solve: 9x − 8 − 2x = 27.
8.Solve: 4(x − 2) + 3x = 27.
9.Solve: 6 + 2(2x + 1) = 28.
10.Solve: 5( x + 2) − 3x = 24.
11.Solve: 3(2x + 1) − 4 = 5x + 8.
Check a solution
Substitute the given value into the original equation and decide whether the statement is true.
12.For 2(x + 3) − 4 = 12, test the proposed value 5. Substitute it into both sides. Is 5 a solution? Show the values of both sides.
13.For 4x − 3 + 2x = 21, a student says x = 3. Substitute 3 into both sides. Is 3 a solution? Show the values of both sides.
3 printable pages
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