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Solving by Combining Like Terms
Solving by Using the Distributive Property
No, One, Inf. Solutions
All types of Equations
Word Problems
100
5h + 2 + 2h = 23
h = 3
100

4(x - 1) = 16

x = 5
100

-2v - 4 = -2v - 3

No solution

100
4x + 9 = 33
x = 6
100

WRITE AN EQUATION & SOLVE: Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?

37 boxes 

200
3b + b - 8 = 4
b = 3
200

5(d - 2) = 40

d = 10

200

30 + 6 p = 7( p + 6) - 5

One solution: (x= -7)

200
x + 3x = -8
x = -2
200

Mr. Bernd bought 12 Brewers t-shirts for a total of $85.76 Each t-shirt cost the same amount. How much does 1 shirt cost?

$7.14

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

8x + 38 = -3(-6 - 4x)

One solution: (x = 5)

300

How many solutions? 

2(2x - 3) - 5 = 4(x - 2) - 3

Infinite

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

3 + 5n = 5(n + 2) - 7

Infinite Solutions

400
-6(m + 1) + 18 = 24
m = -2
400

Mr. Leon goes to the grocery store and purchases 3 loafs of bread and a $2.56 jar of peanut butter, as well as a $2.16 jar of strawberry jelly. His total cost was $28.85. What was the cost for a loaf of bread?

$6.03

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500

DAILY DOUBLE!!!

4(k - 9) + 2k  = -32 + 4k + 2(2k - 2)

One Solution: k = 0

500
7k - 8 + 2(k + 12) = 52
k = 4
500

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

54