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Multi-Step Equations, Lecture notes of Algebra

Multi-Step Equations. Solve each equation. 1) 6a + 5a = −11. 2) −6n − 2n = 16. 3) 4x + 6 + 3 = 17. 4) 0 = −5n − 2n. 5) 6r − 1 + 6r = 11.

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2021/2022

Uploaded on 09/12/2022

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Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Multi-Step Equations
Solve each equation.
1)
6
a
+ 5
a
= −11
2)
−6
n
− 2
n
= 16
3)
4
x
+ 6
+ 3
= 17
4) 0
=
−5
n
− 2
n
5)
6
r
− 1
+ 6
r
= 11
6)
r
+ 11
+ 8
r
= 29
7) −10
=
−14
v
+ 14
v
8)
−10
p
+ 9
p
= 12
9) 42
=
8
m
+ 13
m
10)
a
− 2
+ 3
= −2
11) 18
=
3
(
3
x
− 6
)12) 30
=
−5
(
6
n
+ 6
)
pf3
pf4

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Kuta Software - Infinite Pre-Algebra Name___________________________________

Multi-Step Equations Date________________Period____

Solve each equation.

  1. 6 a + 5 a = −11 2) −6 n − 2 n = 16

  2. 4 x + 6 + 3 = 17 4) 0 = −5 n − 2 n

  3. 6 r − 1 + 6 r = 11 6) r + 11 + 8 r = 29

  4. −10 = −14 v + 14 v 8) −10 p + 9 p = 12

  5. 42 = 8 m + 13 m 10) a − 2 + 3 = −

  6. 18 = 3 ( 3 x − 6) 12) 30 = −5( 6 n + 6)

  1. 37 = −3 + 5 ( x + 6) 14) −13 = 5 ( 1 + 4 m ) − 2 m

  2. 4 (− x + 4) = 12 16) −2 = −( n − 8)

  3. −6( 1 − 5 v ) = 54 18) 8 = 8 v − 4 ( v + 8)

  4. 10 ( 1 + 3 b ) = −20 20) −5 n − 8 ( 1 + 7 n ) = −

  5. 8 ( 4 k − 4) = −5 k − 32 22) −8(−8 x − 6) = −6 x − 22

  6. 8 ( 1 + 5 x ) + 5 = 13 + 5 x 24) −11 − 5 a = 6 ( 5 a + 4)

  7. −5( 4 x − 2) = −2( 3 + 6 x ) 26) 5 ( 2 x + 6) = −4(−5 − 2 x ) + 3 x

  1. 37 = −3 + 5 ( x + 6) {2}

  2. −13 = 5 ( 1 + 4 m ) − 2 m {−1}

  3. 4 (− x + 4) = 12 {1}

  4. −2 = −( n − 8) {10}

  5. −6( 1 − 5 v ) = 54 {2}

  6. 8 = 8 v − 4 ( v + 8) {10}

  7. 10 ( 1 + 3 b ) = − {−1}

  8. −5 n − 8 ( 1 + 7 n ) = − {0}

  9. 8 ( 4 k − 4) = −5 k − 32 {0}

  10. −8(−8 x − 6) = −6 x − 22 {−1}

  11. 8 ( 1 + 5 x ) + 5 = 13 + 5 x {0}

  12. −11 − 5 a = 6 ( 5 a + 4) {−1}

  13. −5( 4 x − 2) = −2( 3 + 6 x ) {2}

  14. 5 ( 2 x + 6) = −4(−5 − 2 x ) + 3 x {10}