Solving Equations with Grouping

3(2x+5)=39

• x = 4

• x = 5

• x = 3

• x = -2

15(t+2)+9t=6

• t= -2

• t= -1

• t= -3

• t= -4

-2(5+6m)+16= -90

• m= 2

• m= 8

• m= 12

• m= 10

6(3x-5) -7x=25

• x= 5

• x= 6

• x= -5

• x= -6

• x=-10

• x=2

• No Solution

• All Real Numbers

• 2

• -2

• 8

• 8

• m=3

• m=-4

• m=-1

• All real numbers

Kylie and Ricardo decide to start a dog watching business for their neighborhood. Kylie thinks it would be best to charge customers $27 for a membership and then $5 per time they walk a dog. Ricardo thinks it would be best to charge $8 per dog walk. For what number of walks will their two plans cost the same amount of money?

Mathematical Equivalence

ON

• x=3

• x=-7

• x=0

• No Solution

• 0

• 1

• -1

• 4