Create and Solve Equations

Community Gym charges a $60 membership fee and a $50 monthly fee. Workout Gym charges a $180 membership fee and a $40 monthly fee. Which equation would represent when both gyms would cost the same?

• 60m+50=180m+40

• 60+50m=180+40m

• 60m-50=180m-40

• 60-50m=180-40m

Community Gym charges a $60 membership fee and a $50 monthly fee. Workout Gym charges a $180 membership fee and a $40 monthly fee. Solve on a piece of paper. After how many months would the membership cost the same and how much would it cost?

• After 10 months it will cost $560 at both gyms

• After 2.67 months it will cost $193.50 at both gyms

• After 12 months it will cost $660 at both gyms

• After 24 months it will cost $1,260 at both gyms

Tags

CCSS.8.EE.C.8C

Container A and Container B have leaks.

Container A has 500 ml of water and is leaking 6 ml per minute. Container B has 1000 ml and is leaking 16 ml per minute. Let m represent the number of minutes the containers are leaking. Which equation represents when the containers would have the same amount of water?

• 500 + 6m = 1000 + 16m

• 500 - 6m = 1000 - 16m

• 500m + 6 = 1000m + 16

• 500m - 6 = 1000m - 16

Solve.

 $-6x-73=12x+143$  

• all real numbers

• no solution

• x = 11

• x = -12

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve.

 $-7x-36=20-3x$  

• x = -12

• x = -14

• no solution

• all real numbers

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve.

 $6x+10=2(3x+4)$  

• x = 0

• x = 2

• no solution

• all real numbers

Tags

CCSS.8.EE.C.7A

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?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

CREATE AND SOLVE:

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.

• 3 hours

• 4 hours

• 1 hour

• 2 hours