Math 8: Solving Equations with Integers and Fractions

Solve for x:

5x + 2 = 4x - 3

• x = -5

• x = -2

• x = 1/9

• x = -1/5

Solve for x:

3x - 2 = -2x - 12

• x = -2

• x = 2

• x = 14/5

• x = 5

Solve for x:

2(x + 8) = 6x + 12

• x = 1

• x = -1

• x = 4

• x = -4

Solve for x:

 $\frac{1}{4}x+5=x-1$  

• x = 8

• x = 4

• x = 1/8

• x = 16/3

What could you multiply the equation by to cancel out all fractions?

 $\frac{1}{2}x+\frac{1}{5}=\frac{3}{4}x+2$  

• 20

• 10

• 8

• 11

Solve for x:

 $\frac{1}{3}x+2=\frac{1}{6}x+4$  

• x = 12

• x =36

• x = 4

• x = -12

Solve for x:

6(x + 2) = 8x + 16

• x = -2

• x = 2

• x = 7

• x = -14

Solve for x:

20x + 30 = 12x + 110

• x = 10

• x = 3

• x = -10

• x = 16