Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h - 2h = 9
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 = 4
b = 1
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200
Mr. McWhinney bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each Hannah Montana t-shirts cost?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300
3a + 2a = -10
a = -2
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
300
After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in the box?
a - # of apples in each box a - 3 = 109 a = 112
400
-8 = 3y + 5y
y = -1
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
(m + 1) + 18 = 24
m = 5
400
Mr. Bucci goes to the grocery store and purchases a bag 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 peanut butter r + 2.97 = 34.76 r = 31.79 Each bag of raisins cost $31.79 Dang spendy raisins !
500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 10(t + 8.5)
10t + 85
500
(-k) = 52
k = -52
500
The sum of three consecutive integers is 48. What are the integers? consecutive means 1,2,3 or 5,6,7
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.
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