Equations and the Distributive Property

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

x= 12

x= -12

x= -22

x= 22

• x= 12

• x= -12

• x= -22

• x= 22

3(3x - 6) = 18

• x = 4

• x = -4

• x=8

• x= -12

-3 ( f - 8 ) = 39

• -21

• -10.3

• -5

• 5

5(x-3)=40

• 11

• 43/5

• 38

• 37/5

5(2 + 8)

• (5 x 2) + (5 x 8)

• (5 x 2) x (5 x 8)

• (5 + 2) + (5 + 8)

• (5 + 2) x (5 + 8)

2(6k-1)= -38

• k= 1

• k= 9

• k= -4

• k= -3

8(7-y) = -24

• y= 2

• y= 10

• y= 15

• y= -5

8(x + 5)

• 8x + 13

• 8x + 5

• 8x + 40

• 13x