Model With Equations

Write the equation for the model.

• 3x + 1 = -x + 5

• -x + 1 = 3x + 5

• -x + x = 3x + 5x

Tags

8.8.C

Write the equation for the model.

• -2x - 1 = 2x - 9

• 2x - 1 = -2x - 9

• -2x - 9 = 2x - 1

Tags

8.8.C

Write the equation for the model.

• 3x + 8 = x

• 3x = x + 8x

• 3x = x + 8

Tags

8.8.C

Write the equation for the model.

• 3x + x = -x - 3x

• -x + 1 = 3x - 3

• 3x + 1 = -x - 3

Tags

8.8.C

Write the equation for the model.

• 2x - 4 = x - 7

• 2x + 4 = x + 7

• x - 4 = 2x - 7

Tags

8.8.C

Write the equation for the model.

• 3x - 7x = 2x + 5x

• 3x + 5 = 2x - 7

• 3x - 7 = 2x + 5

Tags

8.8.C

Which situation can be represented by this equation?

• Nancy has a stamp collection with 15 stamps. She gets 300 more from

  her uncle. Rhonda has a stamp collection with 140 stamps. She plans on

  buying 20 more stamps next month. What is x, the number of months it

  will take for Nancy and Rhonda to have the same number of stamps?

• Nancy has played 300 games of tennis. She plays 15 games each month.

  Rhonda has played 20 games of tennis and plays 140 games each month.

  What is x, the number of months it will take for Nancy and Rhonda to

  have played the same number of games?

• Nancy opened up a savings account with $300. She deposits $15 each

  week. Her friend Rhonda opened up a savings account with $140 and

  deposits $20 each week. What is x, the number of weeks it will take for

  Nancy and Rhonda to have the same amount of money?

• Nancy has $300 and spends $15 each week on gas. Rhonda has $140

  and spends $20 each week on gas. What is x, the number of weeks it will

  take for Nancy and Rhonda to have the same amount of money?

Mrs. Collins is getting her windows cleaned. She finds two companies and needs to compare the prices. Company A charges a $50 dollar fee and $2 per window. Company B charges a $20 fee and $5 per window. Let x equal the number of windows. What equation represents when the total cost for both companies would be the same

• 50x + 2 = 20x +5

• 50 + 2x = 20 + 5x

• 50 - 2x = 20 - 5x

• 50x - 2 = 20x -5

Sam has sold 20 tickets to the play and continues to sale tickets at the rate of 3 tickets per day. Tony has sold 5 tickets to the play and continues to sale tickets at the rate of 8 tickets per day. 

Write an equation that represents when Tony would sell the same amount of tickets as Sam. 

• 20 + 3x = 5 + 8x

• 20x + 3 = 5x +8

• 20 - 3x = 5- 8x

• 20x - 3 = 5x -8

Does the graph of the following system show coinciding lines, parallel lines or intersecting but not coinciding lines?

• Coinciding Lines

• Parallel Lines

• Intersecting but not coinciding lines