Solving by Combining Like Terms
Solving by Using the Distributive Property
Variables on Both Sides
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
5x - 2 = 2x + 10
x = 4
100
4x + 9 = 33
x = 6
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie 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
6x + 10 = -20 - 4x
x = -3
200
x + 3x = -8
x = -2
200
Mrs. Edwards bought 7 Hawkeye t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hawkeye t-shirts did Mrs. Edwards 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) = -84
t = 16
300
y - 7 = -3y + 13
y = 5
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? (use equation 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
-9r + 4 = -6r + 19
r = -5
400
-6(m + 1) + 18 = 24
m = -2
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? (use equation 17r + 2.97 = 34.76)
r = 1.87 Each bag of raisins cost $1.87
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
-2x + 17 = -10x - 31
x = -6
500
7k - 8 + 2(k + 12) = 52
k = 4
500
I rented a car. The initial cost was $57 and the price per mile was $0.25. My total bill was $109 before tax. Using the equation 0.25m + 57 = 109, figure out how many miles I drove. (m = miles)
m = 208
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