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Solving by Combining Like Terms
Solving by Using the Distributive Property
Fractional Equations
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Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Solve (x + 5 )/ 4 = 4
x = 11
100
4x + 9 = 33
x = 6
100
WRITE AN EQUATION & SOLVE: Patricia is 3 years older than her sister. Patricia's age is 11 years old. How old is her sister?
n - Patricia's sister's age n + 3 = 11 n = 8 Patricia's sister is 8 years old.
200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Solve 2(2m - 4 )/3 = -2
m = 0.5
200
x + 3x = -8
x = -2
200
Lauren bought 7 OPI nail polishes for a total of $90.93. Each nail polish cost the same amount. How many nail polishes did Lauren 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
Simplify. 3 + 5(a + 4)/ 5 = 8
a= 1
300
4(y - 2) + y = -13
y = -1
300
Izzy has 4 boxes of apples. Each box has the same number of apples. After Izzy 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
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)/ 2 = 5
b = -3
400
-6(m + 1) + 18 = 24
m = -2
400
Emina goes to the grocery store and purchases 17 bags of lollies and a $2.97 jar of peanut butter. Her 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
-13(4 + 2a) = 208
a = -10
500
Solve [-2(t + 8)]/ 4 = -3
t = -2
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones from many integer (number), 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.