Two-Step Equations
4m - 5 = 11
m=4
8(n + 2) = 24
n = 1
2(4x + 9) = -27 + 29
x=-2
The sum of three consecutive integers is 78. What are the three integers?
25, 26, 27
5x - 13 = 12
x = 5
-3 = -3(2t - 1)
t = 1
-5(x - 2) - 8 = 2
x = 0
The sum of three consecutive even integers is 48. What are the three integers?
14, 16, 18
-3d + 10 = 43
d = -11
-5(x - 3) = -25
x = 8
-18 + 15 = -3(x + 7)
x = -6
The sum of three consecutive odd integers is 99. What are the three integers?
31, 33, 35
-8 = 3y - 2
y=-2
x - 2(x + 10) = 12
x = -32
6 + 24 = -5(9x - 6)
x = 0
Casey bought sandwiches and bags of chips. Each sandwich cost three times as much as a bag of chips. She bought 5 sandwiches for $6 each and spent $42. How many bags of chips did she buy?
6 bags of chips
p/4 + 6 = 8
p = 8
-15 = 5(3x - 10) - 5x
x = 7/2
3x + 2(x - 3) = 9
x = 3
Karla adopted 6 cats and 4 dogs from the animal shelter. The dogs costs $20 more than the cats. She paid a total of $380. How much did each cat and each dog cost?
Dogs: $50
Cats: $30