Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
100

WRITE AN EQUATION: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

s= Julie's sister's age

s + 3 = 11

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200

WRITE an Equation: Mr. Rogers bought 7 plushies for a total of $90.93. Each plushy cost the same amount. How many plushies did Mr. Rogers buy?

p = # of plushies

7p = 90.93

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

Simplify.

3 + 5(a + 4)

5a + 23

300
4(y - 2) + y = -13
y = -1
300

WRITE an equation: 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

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400

Simplify.

- (2b - 4)

-2b + 4

400

-6(m+1) + 18 = 24

m = -2

400

Write an equation: Dr. Gamez 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

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

7k - 8 + 2(k+12) = 52

k = 4

500

A group of 6 friends went to a basketball tournament. They each bought a ticket and spent $8.50 each on snacks. Another group of 4 friends went to a championship game and paid twice as much for each of their tickets and also spent $6.50 each on snacks. The two groups spent the same amount of money. Write an equation to find the cost of each ticket.

t= cost of tournament ticket

6(t + 8.50) = 4(2t + 6.50)

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