2.4 Solving Equations with Variables on both

sides

Students will be able to solve equations with variables on both sides

Rules

Move variables on one side of equation and constants (numbers) on the other side.

Example

k+1=3k-1

Solve

8 + 5c = 7c – 2

You Try-

9f – 6 = 3f + 7

1) Distribute first2) Combine Like Terms3) Then get all the variables on one side and

the constants on the other.

Solve by Grouping

Solve:

)26(3108 ss

Solve

)72(612183

1 qq

Example

5m- 3 = 1m + 7 8 8 2 8

You Try

.7z +1.9 + 0.1z = 5.5-.4z

Example

12y + 6 = 6(2y + 1)

You Try

8z = 4(2z+1)

Set-up an equation and SolveCurrently, you have $80 and your sister has $145. You decide to save $6 of your allowance each week, while your sister decides to spend her whole allowance plus $7 each week. How long will it be before you have as much money as your sister?

You Try

The membership fee for joining a gardening association is $24 per year. A local botanical garden charges members of the gardening association $3 admission to the garden. Nonmembers of the association are charged $6. After how many visits to the garden is the total cost for members, including the membership fee, the same as the total cost for nonmembers?

Find the values of x so that the figures have the same area.

x

103x

6