word problems to equations...

Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 

• 25x + 100 = 600
• 25x - 100 = 600 
• 600 - 100x = 25
• 600 + 25x = 100 

Tags

CCSS.HSA.CED.A.3

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  

• 60 - 15x = 210 
• 15x - 60 = 210
• 15x + 60 = 210 
• 210 + 15x = 60 

Tags

CCSS.HSA.CED.A.3

Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62,000, with annual raises of $2,000. What equation shows how long it will take for Lenny and Karl to make the same salary?

• 55,000x + 2,500 = 62,000x + 2,000
• 2,500x + 55,000 = 2,000x + 62,000
• 55,000 - 2,500x = 62,000 - 2,000x
• 55,000 + 2,000x = 62,000 + 2,500x

At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25 per letter. Write an equation for how many letters the costs will be the same.

• 12.50 + 0.40 = 14.75 + 0.25
• 12.50x + 0.40 = 14.75x + 0.25
• 12.50 + 0.40x = 14.75 + 0.25x
• 0.40x - 12.50 = 0.25x - 14.75

A twelve inch candle and an 18 inch candle are lit at 6pm. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Write an equation.

• 12 - 0.5x = 18 - 2x
• 12 + 0.5x = 18 + 2x
• 12x - 0.5 = 18x - 2
• 12 - 6x = 18 - 2x 

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Container A has 200L of water, and is being filled at a rate of 6 liters per minute. Container B has 500L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water? Write an equation.

• 200m + 6 = 500m - 6
• 6m + 200 = 6m + 500
• 200 + 6m = 500 - 6m
• 200 - 6m = 500 + 6m

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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? Write an equation.

• 7p +0.20 = 5p + 0.30
• 0.20p + 7 = 0.30p + 5
• 7 - 0.20p = 5 - 0.30p
• 0.20p - 7 = 0.30p - 5

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450
• 0.85x + 375 < 450
• 0.85 + 375x > 450
• 0.85 + 375x < 450

Tags

CCSS.7.EE.B.4B

Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

• 3.5h + 1.5d ≤ 30
• 3.5d + 1.5h ≤ 30
• 3.5h + 1.5d ≥ 30
• 3.5h + 1.5d < 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2