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Solving by Combining Like Terms
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Write Equation and Solve Word Problems
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100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100

Tyee has two summer jobs. He works in the grocery store, and at a nursery. He gets paid $15 to work at the grocery store and $16 work at the nursery. How much does he earn if he works g hours at the grocery store and n hours at the nursery? How much does he earn if he works 14 hours at the grocery store and 9 hours at the nursery?

15g + 16n = total

Total = 354

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

There are bicycles and cars  parked or locked on a certain city block. Cars had four wheels, and bicycles had two wheels.  How many wheels were on the block if there were x bicycles and y cars? How many wheels were on the block if there were 11 bicycles and 6 cars?

4x + 2y = total

46 wheels

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
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300

Jeriel finds some nickels and quarters in his piggy bank. How many coins does he have if he has 9 nickels and 11 quarters? How many coins does he have if he has x nickels and y quarters?

x + y = total coins

20 coins

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
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400

There are small greeting cards and large greeting cards. Small greeting cards cost $1.50 and large greeting cards cost $3.95.  How much would it cost to get x small greeting cards and y large greeting cards? How much would it cost to get 2 small greeting cards and 5 large greeting cards?

1.50x + 3.95y = total cost

Cost $22.75

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
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500

At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96. How much would it cost to get x orders of fries and y drinks? How much would it cost to get 2 orders of fries and 4 drinks?

.92x + .96y = Total cost

Total is 5.68

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.