Solve by Combining Like Terms
One- step equations
Word Expressions
Two-step equations
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
26 = 8 + v
v=18
100
five more than twice a number
2n+5
100
4x + 9 = 33
x = 6
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
200
3b + b - 8 = 4
b = 3
200
15 + b = 23
b=8
200
the product of a number and 6
6n
200
x + 3x = -8
x = -2
200
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300
3a + 12 - 6a = -9
a = 7
300
3 + p = 8
p=5
300
three times a number decreased by 11
3n-11
300
8n + 7 = 31
n=3
300
Tyler 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?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
400
-6 = -3y + 4 + 5y
y = -5
400
x − 7 = 13
x = 20
400
Fifteen less than twice a number
2x-15
400
9 + 9n = 9
n=0
400
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
500
78 = 3c + 12 - c + 4
c = 31
500
14b = −56
b=-4
500
Three times a number, increased by seventeen
3a+17
500
9 + 9n = 9
n=8
500
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.
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