Multi Step Word Equations

Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third a number. Which equation represents this?

The length of Adriana's chicken coop is 3x + 12 feet. The length of her garden is 6x - 16 feet. The length of the garden is ²/₃ of the length of the chicken coop. What is the length of the chicken coop?

• 20 ft

• 30 ft

• 10 ft

• 40 ft

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

22 + 2a = 37 + 6 + a

• 21

• -21

• 5

• 6

Your class hopes to collect 1,200 returnable bottles to raise money for a class trip. During the first week, the 40 students in your class collect an average of 15 bottles each. How many more bottles per student should the class collect?

• 40(15) + 40b = 1200

• 40(15) - b = 1200

• 40(15) + 15b = 1200

Your class hopes to collect 1,200 returnable bottles to raise money for a class trip.

During the first week, the 24 students in your class collect an average of 34 bottles each.

How many more bottles per student should the class collect?

• 24(34) - b = 1200

• 24(34) + 24b = 1200

• 24 + 1200 = 30b

Your class goes to an amusement park. Admission is $10 for each boy. The total comes to $160. How many boys went to the amusement park?

• 10 + b = 160

• 10b = 160

• 160b = 10

Your class goes to an amusement park. Admission is $10 for each student and $15 for each chaperone. The total cost is $380. There are 12 girls in your class and 6 chaperones on the trip.

How many boys are in your class?

• 12(10) + 6(15) - 10b = 380

• 12(10) + 6(15) + 10b = 380

One cell phone plan costs $50 per month plus $0.25 for each text.

Another plan costs $60 per month plus $0.10 for each text.

For what number of text messages will the monthly bill for both plans be the same?

• 50 + 0.25t = 60

• 50 + 0.25t = 60 + 0.10t

One cell phone plan costs $30 per month plus $0.25 for each text.

Another plan costs $70 per month plus $0.10 for each text.

For what number of text messages will the monthly bill for both plans be the same?

• 30 + 0.25t = 70 + 0.10t

• 30 -0.25t -0.10t = 70