Solving Multi-Step Equations - Kuta Software
[Pages:4]Kuta Software - Infinite Algebra 2
Solving Multi-Step Equations
Solve each equation. 1) 4n - 2n = 4
Name___________________________________ Date________________ Period____
2) -12 = 2 + 5v + 2v
3) 3 = x + 3 - 5x
4) x + 3 - 3 = -6
5) -12 = 3 - 2k - 3k
7) 6 = -3(x + 2) 9) 24 = 6(-x - 3)
6) -1 = -3r + 2r
8) -3(4r - 8) = -36 10) 75 = 3(-6n - 5)
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Worksheet by Kuta Software LLC
11) -3(1 + 6r) = 14 - r 13) -4k + 2(5k - 6) = -3k - 39
12) 6(6v + 6) - 5 = 1 + 6v 14) -16 + 5n = -7(-6 + 8n) + 3
15) 10 p + 9 - 11 - p = -2(2 p + 4) - 3(2 p - 2)
16) -10n + 3(8 + 8n) = -6(n - 4)
17) 10(x + 3) - (-9x - 4) = x - 5 + 3
18) 12(2k + 11) = 12(2k + 12)
19) -12(x - 12) = -9(1 + 7x)
20) -11 + 10( p + 10) = 4 - 5(2 p + 11)
Critical thinking question:
21) Explain two ways you could solve 20 = 5(-3 + x)
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Solving Multi-Step Equations
Solve each equation. 1) 4n - 2n = 4
{2}
Name___________________________________ Date________________ Period____
2) -12 = 2 + 5v + 2v
{-2}
3) 3 = x + 3 - 5x
{0}
4) x + 3 - 3 = -6
{-6}
5) -12 = 3 - 2k - 3k
{3}
7) 6 = -3(x + 2) {-4}
9) 24 = 6(-x - 3) {-7}
6) -1 = -3r + 2r
{1}
8) -3(4r - 8) = -36 {5}
10) 75 = 3(-6n - 5) {-5}
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Worksheet by Kuta Software LLC
11) -3(1 + 6r) = 14 - r {-1}
13) -4k + 2(5k - 6) = -3k - 39 {-3}
12) 6(6v + 6) - 5 = 1 + 6v {-1}
14) -16 + 5n = -7(-6 + 8n) + 3 {1}
15) 10 p + 9 - 11 - p = -2(2 p + 4) - 3(2 p - 2) {0}
16) -10n + 3(8 + 8n) = -6(n - 4) {0}
17) 10(x + 3) - (-9x - 4) = x - 5 + 3 {-2}
18) 12(2k + 11) = 12(2k + 12)
No solution.
19) -12(x - 12) = -9(1 + 7x) {-3}
20) -11 + 10( p + 10) = 4 - 5(2 p + 11) {-7}
Critical thinking question:
21) Explain two ways you could solve 20 = 5(-3 + x)
(1) Divide by 5 first, or (2) Distribute the 5 first.
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
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Worksheet by Kuta Software LLC
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