One-Step Equations
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Simplifying Expressions
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Word Problems
100
16 = x + 5
x = 11
100
4x + 1 = 25
x = 6
100
Simplify. 8b + 3b
11b
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
x - 13 = 24
x = 37
200
8 + 5x = 43
x = 7
200
Simplify. 19x - 24x
-5x
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
7x = 56
x = 8
300
7 + 6x = 73
x = 11
300
Simplify. 3 + 5(a + 4)
5a + 23
300
6x + 5 + x = 68
x = 9
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
x/9 = 8
x = 72
400
x/3 - 5 = 21
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
7 + 5x + 3x = 103
x = 12
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
x - 12 = -25
x = -13
500
7x - 3 = -45
x = -6
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
- 96 = 7x + 2x - 6
x = -10
500
When you count by ones from any 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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