Word Problems
331 students went on a field trip. Six busses were filled and 7 students traveled in cars. How many students were in each bus?
x: # of students in each bus
6x + 7 = 331
x=54
6x – 13 = 11
x= 4
Solving Equations
7 = -2 - 3x
x = -3
Solving Equations
x + 3 + 3x = 7
x = 1
4x - 2 = 3x + 5
x = 7
Define variable and create an equation for the word problem below.
A video rental store rents a movie at $2.95 for the first night, plus $1.50 for each additional night. When you return the movie, you pay $8.95. How many additional nights did you keep the movie?
x: Nights that the movie was kept
x: Nights that the movie was kept
1.50n + 2.95 = 8.95
n= 4
3x + 5 = 14
x= 3
Solving Equations
1 - 5p = 6
p = -1
Solving Equations
5 + 5x - 1 = 29
x = 5
2x - 8 = 5x + 4
x = -4
Define variable and create an equation for the word problem below.
Sumalee won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
x: bouncy balls remaining
40 - 2x = 8
x=16
(x/2)+2 =-8
x= -20
(2n+10)/4 = 1
Solving Equations
n = -3
Solving Equations
-45 = 3x + 4 + 4x
x = -7
4x + 3 = 2x + 11
x = 4
Jill sold half of her comic books and then bought 16 more. She now has 36. With how many did she begin?
x: comic books she began with
x/2 + 16 = 36
x= 40
(x/2)+8=10
x= 4
Solving Equations
5(m-3) = 4
m = 19/5
Solving Equations
14 = -(2a + 6) + 2
a= -9
9 - x = 6 + 2x
x = 1
Define variable and create an equation for the word problem below.
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
x: cost of each pencil
24 - 7x = 10
x=2
(x/3)-3=-3
x= 0
Solving Equations
3(𝑥 − 9) = −3
x = 8
Solving Equations
-21 = 7(5k - 8)
k = 1
DOUBLE POINTS BONUS
Solve for x:
3(2x+7) = x - 2(x-3) - 41
x = -8