Multi-Step Equations - Kuta Software

Kuta Software - Infinite Algebra 1

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Multi-Step Equations

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Solve each equation. 1) −20 = −4 x − 6 x

2) 6 = 1 − 2n + 5

3) 8 x − 2 = −9 + 7 x

4) a + 5 = −5a + 5

5) 4m − 4 = 4m

6) p − 1 = 5 p + 3 p − 8

7) 5 p − 14 = 8 p + 4

8) p − 4 = −9 + p

9) −8 = −( x + 4)

10) 12 = −4(−6 x − 3)

11) 14 = −( p − 8)

12) −(7 − 4 x) = 9

13) −18 − 6k = 6(1 + 3k)

14) 5n + 34 = −2(1 − 7n)

15) 2(4 x − 3) − 8 = 4 + 2 x

16) 3n − 5 = −8(6 + 5n)

17) −(1 + 7 x) − 6(−7 − x) = 36

18) −3(4 x + 3) + 4(6 x + 1) = 43

19) 24a − 22 = −4(1 − 6a)

20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Name___________________________________

Multi-Step Equations

Date________________ Period____

Solve each equation. 1) −20 = −4 x − 6 x

{2 } 3) 8 x − 2 = −9 + 7 x

{−7} 5) 4m − 4 = 4m No solution.

7) 5 p − 14 = 8 p + 4

2) 6 = 1 − 2n + 5

{0 } 4) a + 5 = −5a + 5

{0 } 6) p − 1 = 5 p + 3 p − 8

{1 } 8) p − 4 = −9 + p

{−6}

No solution.

9) −8 = −( x + 4)

10) 12 = −4(−6 x − 3)

{4 } 11) 14 = −( p − 8)

{−6} 13) −18 − 6k = 6(1 + 3k)

{−1} 15) 2(4 x − 3) − 8 = 4 + 2 x

{3 } 17) −(1 + 7 x) − 6(−7 − x) = 36

{5 } 19) 24a − 22 = −4(1 − 6a) No solution.

{0 } 12) −(7 − 4 x) = 9

{4 } 14) 5n + 34 = −2(1 − 7n)

{4 } 16) 3n − 5 = −8(6 + 5n)

{−1} 18) −3(4 x + 3) + 4(6 x + 1) = 43

{4 } 20) −5(1 − 5 x) + 5(−8 x − 2) = −4 x − 8 x

{−5}

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Worksheet by Kuta Software LLC