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Solving by Combining Like Terms
Polynomials
Expressions
GCF
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
(2x+3)(5x+8)
10x^2 + 31x +24
100
Simplify. 8b + 3b
11b
100
15 and 30
15
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
6x(4x - 3)
24x^2 - 18x
200
Simplify. 19x - 24x
-5x
200
14j^2k^3 and 21j
7j
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
(-3x-9)(-x-6)
-3x^2 +27x +54
300
Simplify. 3 + 5(a + 4)
5a + 23
300
16x^7 and 24x^9
8x^7
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
-2x(-4x-8)
8x^2 -16x
400
Simplify. - (2b - 4)
-2b + 4
400
6x-12
6
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
(7p-2)(3p-4)
21p^2-34p-8
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7x^2, 12x and 24x^3
None or 1
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.