Two Step Equations Word Problems Valentines

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Let x represent the number of students on each bus.

• 7x + 6 = 331

• 13x = 331

• 6x + 7 = 331

• 331 - 7 = 6x

Pizzazz Publications paid $4000 to have some books printed. The printer charges $800 plus $5 per book. Let x represent the number of books.

• 800 + 5x = 4000

• 800x + 5 = 4000

• 4000 + 5x= 800

• 4000 = 800 + 5

Jessica spent $10 Target. She wants to buy some candy bars that cost $1.50 and one t-shirt that costs $6. Let x represent the number of candy bars she buys.

• 1.50 + 6x = 10

• 1.50x + 6 = 10

• 6x = 10 + 1.50

• 10x = 1.50 + 6

The temperature in the ice rink must stay at 40°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Let x represent the number of hours the cooling device was on.

• 40 + 3.5x = 71

• 71 - 3.5x = 40

• 71 - 3.5x = 40

• 71 + 3.5x = 40

Aliyah had $24 to spend on seven pencils. After buying them she had $10. Let x represent the cost of each pencil.

• 24 - 10 = 7x

• 24 - 7x = 10

• 10 + 7x = 24

• 10 + x = 14

Lacey's gym membership costs $576 per year. Additionally, the gym charges $20 for a 2-week boot camp class. Lacey has $700 per year to spend for a gym membership and boot camp classes. Let x represent the number of boot camp classes.

• 576 = 20x - 700

• 700 = 576 - 20x

• 576 = 20x + 700

• 700 = 576 + 20x

Joaquin is ordering 5 identical sandwiches and a bag of chips. The bag of chips costs $1.25, and the entire order costs $38.75. Let x represent the cost of each sandwich.

• 1.25x + 5 = 38.75

• 1.25x = 5

• 5x + 1.25 = 38.75

• 5x = 1.25

Connie’s dog Fido weighs 35 pounds. Her vet placed Fido on a diet for 6 months. After the diet, Fido weighed 28 pounds. Let x represent the weight Fido lost each month.

• 35 - 6x = 28

• 35 + 6x = 28

• 35 - 28x = 6

• 35x + 28 = 6

Jerome wants to raise 80 for his school's music program. Jerome spent $20 on supplies to make 50 cookies for a bake sale. Let x represent the sale price for each cookie.

• 50x + 20 = 80

• 80 - 20x = 50

• 80 + 20x = 50

• 50x - 20 = 80

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Let x represent the number of months Jim has had a membership.

• 50 + 20x = 290

• 20 + 50x = 290

• 50 + 20 = x

• 50x - 20 = 290