1.6 Study Guide: Equations w/ Variables on Both Sides

1.6 Study Guide: Equations w/ Variables on Both Sides

Using inverse operations, how can you simplify and solve equations with variables on both sides of the equation?

Multiple Choice

2x = x + 3

• 6
• 3
• 2
• x

Multiple Choice

6a = 60 + 36a

• a = 2

• a = -2

• a = 30

• a = -30

Multiple Choice

11h + 9 = -8 - 6h

• 0

• 1

• 2

• -2

Multiple Choice

12d - 34 = 9d - 1

• 3

• -11

• 7

• 11

Multiple Choice

-7a + 33 = 69 - a

• -4

• -2

• -6

• -8

Multiple Choice

 $6v-10=2v-22-4$  

Solve the following equation

•  $v=-2$  

•  $v=-4$  

•  $v=4$  

•  $v=2$  

Multiple Choice

 $17-5r+9r=-12+6r-1$  

•  $r=16$  

•  $r=-16$  

•  $r=14$  

•  $r=15$  

Multiple Choice

 $3-27a+22a=4a-18-15$  

•  $a=-5$  

•  $a=6$  

•  $a=5$  

•  $a=4$  

Multiple Choice

-16 + 7n + n = 8n + 4n

• -4

• -14

• -16

• 11

Multiple Choice

12 + 6x - 7x = 3x - 2x

• 6

• -16

• -5

• 4

Multiple Choice

12x - 15 = 3(2x+3)

• x = 4

• x = -4

• x = 2

• x = -2

Multiple Choice

2(x + 6) + 3 = 9 + 5x

• 16

• 2

• -8

• -10

Multiple Choice

2(4x - 3) - 8 = 4 + 2x

• 5/3

• 3

• 1

• 2

Multiple Choice

5y+34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

Multiple Choice

8(x - 1) = - 4x + 16

• 8

• 16

• 24

• 2

Multiple Choice

-6(1 - 6r) = -2(r + 3)

• 14

• 0

• -11

• 4

Multiple Choice

 $\frac{-12}{\left(x\ -1\right)}=\frac{3}{\left(x\ -1\right)}$  

• 10

• 1

• 14

• 23

Multiple Choice

4(1 - x) + 3x = -2(x + 1)

• x = -6

• x = 6

• x = 3

• x = 0

Multiple Choice

-3(1+n) - 2n = -6(n - 2)

• 15

• 4

• -2

• 7

Multiple Choice

2( x + 5) - 7 = 3( x - 2)

• x = 6

• x = -14

• x = 9

• x = 28