Write Equations
Feyre and two friends spent $21 on movie tickets and a box of popcorn. How could they figure out how much each movie ticket cos? Write an equation.
Possible Answers:
21 = 6 + 3m
6 + 3m = 21
331 students went on a field trip. Six buses were filled, and 7 students travelled in cars. Write and solve an equation to determine how many students were on each bus.
331 = 6b + 7
324 = 6b
54 = b
10(t - 8) = -90
10t - 80 = -90
10t = -10
t = -1
What operation do you use when you are distributing?
multiplication
Fenrys rents bowling shoes for $4. He bowls 2 games. He spent a total of $22. How much was the cost of each game? Write an equation.
Possible Answers:
4 + 2g = 22
22 = 2g + 4
Cassian had $24 to spent on seven pencils. After buying them, he had $10. Write an equation to determine how much each pencil cost.
24 - 7p = 10
-7p = -14
p = 2
-2(x + 5) = 4
-2x - 10 = 4
-2x = 14
x = -7
What operation do you use when a question says 'more than'?
addition
Jacks has a $21.61 balance on a gift card that can be used to purchase online music. He bought some songs that each cost $1.29. Now he has $10 left. How many songs did Jacks purchase? Write an equation.
Possible Answers:
21.61 = 1.29s + 10
10 = 21.61 - 1.29s
Wes won 40 ducks playing horseshoes at his school's carnival. Later, he gave two to each of his friends. He only has 8 left. Write an equation to determine how many friends Wes has.
40 - 2x = 8
-2x = -32
x = 16
-5(3x - 1) = 65
-15x + 5 = 65
-15x = 60
x = -4
What are the three people Dorothy travels with to meet the wizard?
Scarecrow, Tin Man, & Cowardly Lion
Amren ran 24 laps in a charity run and then walked 0.2 kilometers to the presentation table. The total distance she traveled was 29.6 kilometers. What was the distance of each lap? Write an equation.
Possible Answers:
29.6 = 24d + 0.2
29.6 - 0.2 = 24d
Liam has some candy to give to his four children. He first took ten pieces for himself and then evenly divided the rest among his children. Each child received two pieces. Write an equation to determine how much candy Liam originally had.
(c - 10) / 4 = 2
c - 10 = 8
c = 18
-7(11 - 2a) = -35
-77 + 14a = -35
14a = 42
a = 3
Solve the equation:
4(x - 10) = 32
4x - 40 = 32
4x = 72
x = 18
Violet bought a magazine for $5 and four erasers. She spent a total of $25. Write an equation to determine how much each eraser cost.
Possible Answers:
5 + 4e = 25
25 - 5 = 4e
For a field trip, 4 students rode in cars and the rest filled nine buses. Write and and solve an equation to determine how many students were in each bus if 472 students were on the field trip.
472 = 9b + 4
468 = 9b
52 = b
4(7 - x) = 32
28 - 4x = 32
-4x = 4
x = -1
Solve the equation:
2c - 12 = 20
2c - 12 = 20
2x = 32
x = 16