Solving by Combining Like Terms First
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Mystery Grab Bag
Word Problems
100

5h + 2 + h = 23 - h

h = 3

100
2(x + 5) = 14
x = 2
100

- 1/2 + 7/8 = ?

3/8

100
4x + 9 = 33
x = 6
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 + 2b - 8 = 4 + b

b = 3

200

The rule when adding and subtracting fractions

Denominators need to be the same

200

5/6 x (-7/9)

-35/54

200
x + 3x = -8
x = -2
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 - 2a = -8 + 4a - 1

a = 7

300

How you multiply fractions

multiply numerators and multiply denominators

300

-23/3 as a mixed number

- 7  2/3

300

4(y - 2) + y = -13

y = -1

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 - 2y = -3y + 2 + 3y + 2

y = -5

400

-11  7/8 as an improper fraction

-95/8
400

- 7/4 divided by - 12/9 expressed as a mixed number in simplest terms.

1 5/16

400

-2 / [(-1 1/3) + (-3 1/4)] x (2/3)2

96/495

BONUS 100 pts for 32/165

400

Mrs. Fu goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total is the same as her husband who bought 15 bags of raisins and $6.71 bag of cookies. What was the cost for a bag of raisins?

17r + 2.97 = 15r + 6.71

Each bag of raisins cost $1.87

500

78 = 3c + 12 - c + 4

c = 31

500

How you divide fractions...EXPLAINED

keep first fraction as is, change divide to multiply, flip the second fraction

BONUS 100 pts for saying reciprocate instead of flip

500

- 3  5/9  + (-2 4/5) as a mixed number in simplest terms

-6  16/45

500

Find a:      2a + 3/2 = 15a/4 - 1 1/2

a = 1 5/7
500

When you count by ones from any 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.

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