Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
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
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
(2/3)x - 8 = 12
x = 30
200
Mrs. Kohn bought 7 ASAP Rocky t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many ASAP Rocky t-shirts did Mrs. Kohn 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
7(4 - t) = -14
t = 6
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
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 to start?
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
-2(x - 9) = -24
x = 21
400
Simplify. - 1(2b - 4a) + 8a - 10
-2b + 12a - 10
400
-2/5m = -4
m = 10
400
Mr. Fox 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
7(c - 3) -2c = 3c - 3(8)
c = -3/2
500
-3(4 + 2a) = 18 -5(a - 1)
a = -35
500
Simplify. 7(t + 8.5) - 5t + 4(9 - 3)
2t + 83.5
500
7k - 8 = 52 - 2(k + 12)
k = 4
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 33. What are the integers?
n + n + 1 + n + 2 = 33 n = 10 The integers are 10, 11, and 12.
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