C3 M3 Solving Equations with Variables on Both Sides

Solve Equations with Variables on Each Side

100

4x + 8 = 5x + 3

x = 5

200

2x + 5 = 3x + 2

x = 3

300

Double Jeopardy

4x + 3 = 12x - 1

x = 4/8 or 1/2

400

2/5d - 1 = 3/5d - 3

d = 10

500

-3.2y + 9.4=1.5y - 2.35

y = 2.5

Write and Solve Equations with Variables on Each Side

100

Company A pays $3000 per month plus $250 per car sold.  Company B pays $2500 per month plus $350 per car sold.  Create an equation that compares company A with company B?

3000 + 250c = 2500 + 350c

200

Double Jeopardy

Ryan has 150 football cards and collects 10 cards per week.  Sara has 200 football cards and collects 5 cards a week.  How many weeks will it take for them to have the same amount of football cards?

10 weeks

300

Furnace A is at a temperature of 1200 degrees and cools at a rate of 15 degrees per minute.  Furnace B is at a temperature of 900 degrees and is heated at a rate of 5 degrees per minute.  After how many minutes will the furnaces be at the same temperature?

15 minutes

400

Company A charges a $10 shipping fee and $1 per pound.  Company B charges a $12 shipping fee and $0.50 per pound.   How many pounds is the cost of both companies the same?

4 pounds

500

Double Jeopardy 

Derek and Stephanie were riding their bikes on the same path.  Stephanie started 8 miles ahead of Derek and is traveling 10 miles per hour.  Derek is traveling 12 miles per hour.  How many hours will it take for Derek to catch up to Stephanie?

4 hours 

Solve Multi-step Equations

100

Solve for x.  

2(4x + 4) = 3(2x + 4)

x = 2

200

Solve for x.

3(2x - 1) + 4x = (3x - 1) - 9

x = 5

300

Double Jeopardy 

Solve for x.

3(6x - 1) + 4x = 4(3x - 1) - 5

x = - 3/5

400

Solve for x.

-2(3x + 8) + 2 = 2(3x - 8) - 14x

x = -1

500

Solve for x.

0.2(4x + 10) - 0.9x=0.2(x - 6) + 12.2

x = -30

Determine the Number of Solutions

100

When an equation has "Infinite Solutions", the Coefficients are __________(the same or different) and the Constants are __________(the same or different).

Coefficients are the same, Constants are the same

200

Double Jeopardy

When an equation has "No Solutions", the ___________(Constants or Coefficients) are different and the __________(Constants or Coefficients) are the same.

Constants are different, Coefficients are the same.

300

Complete the equation to that will result in infinite solutions.

9x + 2(2x + 3) = _____x + _____ 

13x + 6

400

Complete the equation that will result in "No Solution".

4x - 2(3x + 7) = _____x - _____

-2x - 14

500

How many solutions?

4(2x + 1 ) = 5(x + 2) + 3

One Solution