Write Equations with Variables on Both Sides

Jason has a lemonade stand where he has already made $26. He charges his customers $1 per lemonade. Kaley has a lemonade stand where she has made $16 and she charges her customers $2 per lemonade. Which equation shows how many lemonades (x) must be sold for the two to have made the same amount of money?

• 26-x-16-2x

• 26x+1=16x+2

• 26+2x=16+X

• 26+x=16+2x

A candy store sells bags of candy for a flat fee of $4 plus $10 per pound. A different candy store sells their candy for $6 plus $9 per pound. How many pounds of candy (x) must be sold for the cost at both stores to be equal?

• 4+6x=10+9x

• 4x+10=6x+9

• 4+10x=6+9x

• 10X-4+9x-6

At Lucky's Go-Cart Track, it costs $5 to rent a go-cart. They then charge a fee of $4 per hour. At Speedy's Race Track, it costs $10 to rent a go-cart plus $2 per hour. Which equation would help you to solve how many hours (h) you would need to rent a go-cart at Speedy's Race Track for the cost to be the same as at Lucky's Go-Cart Track?

• 5+4h=10+2h

• 5h+4=10h+2

• 10-5=4h-2h

• 5+2h=10+4h

Store A charges their customers an $8 shipping fee plus $9 per t-shirt each customer buys. Store B charges their customers a $5 shipping fee plus $10 per t-shirt each customer buys. Which equation shows how many shirts (x) must be bought for them to charge the same amount of money?

• $8 + $9x = $5 + $10x + 1
• $8 + $9x = $5 + $10x - 1
• $8 + $9x = $5 + $10x
• $8 + $9x = $5 + $10x + 2

Casey brought 30 cookies to school and eats two every hour. Melissa brought 20 cookies to school and is only eating one every hour. Which equation will show how many hours must pass for the two students to have the same amount of cookies left?

• 30+2h=20+h

• 30-h=-20-2h

• 30h-2=20h-1

• 30-2h=20-h

In Farmer A's grain silo there is 150,000 pounds of grain. He removes 5,000 pounds of grain a week for his cattle. In Farmer B's grain silo there is 120,000 pounds of grain. He removes 2,500 pounds of grain a week for his cattle. Which equation will show how many weeks (w) it will take before both silo's contain the same amount of grain?

• 150,000w+5,000=120,000w+2,500

• 150,000-5,000w=120,000-2,500w

• 150,000w-5,000=120,000w-2,500

• 150,000+5,000w=120,000+2,500w

A town’s population is 14,000, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it is decreasing by 200 every year. Which equation will show in how many years (y) the populations of the towns will be equal?

• 14,000+160y=24,000-200y

• 14,000-160y=24,000-200y

• 14,000+160y=24,000+200y

• 14,000y+160=24,000y-200y

Joey wants to buy a gym membership. He visits two gyms with two different fees. Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month. How many months (m) will he have to belong at each before the costs are the same?

• 25m+50=20m+40

• 25m+40=20m+50

• 25m-40=20m+50

• 25+40m=20m+50

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?

• 7+0.20p=5+0.30p

• 7-0.20p=5-0.30p

• 0.20p-7=5+0.30p

• 7+0.50p=5+0.20p

You are seeking to be emancipated from your parents. You are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month. How many months, m, will it take for the costs to be the same?

• 1200m + 1000 = 1175m + 1500

• 1200m - 1000 = 1175m - 1500

• 1200 + 1000m = 1175m + 1500

• 1200 + 1000m = 1175 + 1500m

Tags

CCSS.8.EE.C.7B