Lesson 7.1 - Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Lesson 7.1

Multiple Choice

Write an equation to find the number of hours for which the total costs will be the same for the two services

• 12 + 5h = 18 + 3h

• 5h + 12 = 18h + 3

• 5 + 12 = 12 + 3

• 18h + 3h = 12 + 15

Multiple Choice

Which equation represent the given situation ?

Let m represents the number of miles

• 0.50m + 20 = 0.25m+ 30

• 0.50 + 20m = 0.25 + 30m

• 20 + 30 = 0.50 + 0.25

• 20 + 0.5 = 30 + 0.25

Multiple Choice

Solve: 0.50m + 20 = 0.25m+ 30

• m = -4

• m = 10

• m = 4

• m = 40

Multiple Choice

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 20 + 4 = 14h

• 20 + 4h = 14h + 14

• 20 + 4h = 14h

• 20 + 4h = 14

Multiple Choice

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

• 22 + 100 = 25 + 70

• 22 + 100x = 25 + 70x

• 22x + 100 = 25x + 70

Open Ended

How can you solve an equation with the variable on both sides?

HOMEWORK

Deadline: Dec 21st @11:59 pm