Writing Equations from Word Problems

5n+24=39

Rebecca buys some scarves that cost $5 each and 2 purses that cost $12 each. The cost of Rebecca's total purchase is $39. What equation represents the situation?

4(14+x)=88

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats. What equation represents the situation?

- 50+1.5d = 0

You borrow $50 from you mom to take your friend out on a date. You pay her back at a rate of $1.50 a day. Write an equation that could be used to show how many days (d) it would take to pay your mother back.

8=1/4x+4

A stack of nested paper cups is 8 inches tall. The first cup is 4 inches tall and each of the rest of the cups in the stack adds 1/4 inch to the height of the stack. What equation represents the situation?

3x+5=17

Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. What equation represents the situation?

8=4x-1/4

Elena has an 8-foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long and cuts the remainder into four pieces of equal length. What equation represents the situation?

4000=15b

Hannah is an author who wants to publish her first book. It costs $4000 to have her book published. If each book (b) sells for $15. What equation represents the situation?

75w + 490 = 1090

Jessica has $490 in the bank. She deposits $75 a week. What equation could be used to determine the number weeks Jessica will need to have $1090.

11.50=4.75+3m

Jessica rented 1 video game and 3 movies for a total of $11.50. The video game cost $4.75 to rent. The movies cost the same amount to rent. What equation represents the situation?

3n+15=36

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What equation represents the situation?

- 35 +0.5m = -12

Mr Pibl is 35 feet under water scuba diving. When he comes up, he has to rise at a rate of 0.5 feet per minute. What equation shows how many minutes (m) it would take for Mr Pibl to be 12 feet under water.

8p + 490 = 1000

Mr Spence makes animal pillows. He begins with $490 in the bank. He makes $8 for every pillow (p) he sells. If he needs to have $1000, write an equation that would show how many pillows he needs to sell.

5(3+x)=17

Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. What equation represents the situation?

78=6(x-2)

Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an equation whose solution is the number of players on each team. What equation represents the situation?

500=170+3x

The 7th grade class is holding a bake sale to raise money for a field trip. They need to raise $500. If they already have $170 saved and they are charging $3 per item at their bake sale. What equation represents the situation?

2.5d + 15 = 98

The music store in Charlotte makes their own cellos. The store already has 15 cellos made. They need a total of 98 cellos for a big sale coming up. The company can produce 2 and a half cellos a day (d). What equation can be used to describe this situation.

53=68-5y

The temperature at noon is 68°F, If the temperature drops over 5 hours to 53°F. What equation represents the situation?

80-6x=44

The temperature at noon is 80°F, If the temperature drops over 6 hours to 44°F. What equation represents the situation?