Solving by Combining Like Terms
5h + 2 + 2h = 23
h = 3
2x + 10 = 14
x = 2
Simplify. 8b + 3b
11b
4x + 9 = 33
x = 6
3b + b - 8 = 4
b = 3
5d - 10 = 40
d = 10
Simplify. 19x - 24x
-5x
x + 3x = -8
x = -2
Ms. Khan bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did Ms. Khan pay for each shirt?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
3a + 12 - 6a = -9
a = 7
28 - 7t = -84
t = 16
Simplify. 3 + 5a + 20
5a + 23
4y + 8 - y = -13
y = -7
Haseeb has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box originally?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
-6 = -3y + 4 + 5y
y = -5
2x + 18 = -24
x = - 21
Simplify. - 2(b - 4)
-2b + 4
-6m - 6 + 18 = 24
m = -2
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
78 = 3c + 12 - c + 4
c = 31
- 52 -26a = 208
a = -10
Simplify. 7t + 59.5 - 5t + 4
2t + 63.5
7k - 8 + 2k + 24 = 52
k = 4
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.