11/8 Write the Equation!

Renting a kayak costs $10 per hour. Renting a canoe costs $5 per hour plus a $7 fee.

Which equation could be used to determine h, the total number of hours for which they each cost the same?

• 10h = 5h + 7

• 10h = 5 + 7h

• 10h + 5h = 7

• 5h = 10h + 7

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride.

Which equations could be used to determine the total amount of rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00.

Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 24 + 150x = 20x + 180

• 24x + 150 = 20x + 180

• 24x + 150 = 20 + 180x

• 24 + 150x = 20 + 180x

Amelia is buying a new car and needs car insurance. Company A is charging her $89 per month an a $50 starting fee. Company B is charging her $150 per month and no initial fee.

Write an equation that can be used to find x, the number of months it will take for both companies to cost the same.

​ ​ ​ (a)   x + ​ (b)   = ​ (c)   x

• 100
• 90
• 75
• 89
• 150
• 50

John and Jane went to a bakery to get cookies for a party.

John bought 100 chocolate chip cookies and gave away 3 cookies every hour. Jane bought 50 coconut cookies and gave away 4 cookies every hour.

Which equation represents how many hours it will take for Jane and John to have the same amount of cookies left over?

• -3x + 100 = -4x + 50

• -3 + 100x = -4 + 50x

• 100x - 3 = 50x - 4

• -3x - 4x = 50 + 100

Hundley the dog takes Georges leaves and puts them in the toilet.

George put 23 leaves in the living room and was brining the leaves in at a constant rate of 7 leaves per minute.

Hundley put 1 leaf in the toilet and then filled the toilet with leaves at a constant rate of 10 leaves per minute.

Write an equation that would show how many minutes would need to pass for their to be the same amount of leaves in the living room and toilet.

• 7x + 23 = 10x + 1

• 7x + 23 = 10 + 1x

• 23x + 7 = 1 + 10x

• 23x + 7 = 1x + 10

Ted goes to class without his lunch so George chases after him.

They both live on the 14th floor of their apartment building.

George travels down 3 floors of stairs every second.

Ted travels down 2 floors in the elevator every second.

Write an equation that would show how many seconds it would take for George and Ted to be on the same floor.

• -3x + 14 = -2x + 14

• 3x + 14 = 2x + 14

• 14x - 3 = 14x - 2

• 14 + 3x = 14 + 2x

Tags

CCSS.8.EE.C.7B

Ted and his classmates start making their vision boards.

His classmate starts by gluing down 2 pictures on her white board and glues 10 more every hour.

Ted takes a while to start but glues down eventually starts gluing 11 pictures every hour.

Write an equation that shows how many hours Ted will take to have the same amount of pictures on his vision board as his class mate.

• 2x = 10 + 11x

• 10 = 2x + 11x

• 2x + 10 = 11x

• 2 + 10x = 11x