Variable on both sides word problems

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

• 800m - 6 = 1000m - 10

• 800 + 6m = 1000m +10

• 800 - 6m =1000 - 10m

• 800m + 6 =1000 + 10m

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Mike’s Fitness Center charges $30 per month for a membership. All-Day Fitness Club charges $22 per month plus an $80 initiation fee for a membership. After how many months, m, will the total amount paid to the two fitness clubs be the same? Select the equation AND the answer (2 answers).

• 80m + 30 = 22m

• m = 10

• 30m = 80 + 22m

• m = 8

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

• 5 + 0.20p = 7 + 0.30p

• 7 + 0.20p = 5 - 0.30p

• 7p + 0.20 = 5p + 0.30

• 7 + 0.20p = 5 + 0.30p

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.B.7

WRITE AN EQUATION

You bought a magazine for $5 and four erasers. You spent a total of $25. Write a 2-step equation that find the cost of each eraser?

• 5 + x = 25

• 5 + 4x = -25

• 5x + 4 = 25

• 25 - 5 = -4x

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Boost’s plan charges $40 per month with additional minutes costing $0.45. Verizon’s plan costs $45 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same? Select 2 answers - the equation and the answer.

• a = 50

• 40a + 0.40 = 45a + 0.45

• a = 100

• 40 + 0.45a = 45 + 0.40a

Equation: -2(3x - 4) -5 = 5

Step 1 -6x - 8 - 5 = 5

Step 2 -6x -13 = 5

Step 3 +13 +13

-6x = 18

Step 4 -6 -6

x = -3

Jose is solved this equation. His work is shown above. Select in which step he made an error.

• Step 1

• Step 2

• Step 3

• Step 4