Two Step Equations
Multi-Step Equations
Variables on Both Sides
Distributive Property
Word Problems
100
2x - 8 = 4
x = 6
100
2m + 3m = 25
m = 5
100
5h = 2h + 6
h = 2
100
4 (3x + 2) = 20
x = 1
100
A cab ride costs $12.00. Three friends plan to split the cost. How much will each pay for the cab ride?
$4
200
3a + 5 = 38
a = 11
200
15r - 6 + 5 r = 34
r = 2
200
11g - 8 = 9g
g = 4
200
6 (p - 4) = 30
p = 9
200
The perimeter of a square is 22 units. What is the length of each side of the square?
5.5 units
300
-5 + 8x = 19
x = 3
300
- 17 = -5v + 8v - 17
v = 0
300
5c - 8 = 3c + 4
c = 6
300
4 - 2(v - 6) = - 8
v = 12
300
One year of high-speed internet costs $150, which includes an installation fee of $30. What is the cost of the service per month?
$10
400
- 25 = - 16b + 7
b = 2
400
- 2d + 18 - 4d = 60
d = -7
400
1.4g + 2.4 = 0.8g + 8.1
g = 9.5
400
1/2 (20d + 16) = 78
d = 7
400
Tamin DVD Rentals charges a fee of $16 per month. Zamex DVD Rentals charges an initiation fee of $20 plus $12 per month. Write and solve an equation for m, the number of months for which the total cost of the two plans is the same.
16m = 20 + 12m, m = 5 months
500
- 3 + k/7 = 5
k = 56
500
- 31 + 18x + 10 - 24x = 15
x = - 6
500
- 9r + 15r + 17 = 37 + 5.5r - 17
r = 6
500
- 1/4 (18x - 32) = 1/2 (x - 14)
x = 3
500
Tubes of oil paint are on sale for $0.50 off. Cody bought 6 tubes of paint on sale and paid a total of $25.80. Find the regular price of each tube of oil paint.
$ 4.80
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