Solving by Combining Like Terms
Solving by Using the Distributive Property
Domain and Range
Domain & Range Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

What is the range: {(-4,1), (-2,), 8,-1)}

{1,0,-1}

100

Given f(x) = 8 - 3x

Find x when f(x) = -13

x = 7

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

In what Quadrant does (-3,-7) lie?

III Quadrant

200

Given f(x) = 8 - 5x, find f(4c)

8 - 20c

200

Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each shirt cost?

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

Given g(x) = 3x - 8, find g(-3)


-17

300

Given f(x) = 8 - 5x, find f(2 - k)

-2 + 5k

300

Ahmed has 4 boxes of apples. Each box has the same number of apples. After Ahmed 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

Find f(5) when f(x) = -x2+6x - 4 

1

400

What Quadrant does (0,3) lie?

None, y - axis

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

Given g(x) = x2+2x-30, find -2g(-5)

-30

500

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

k = 4

500

The sum of three consecutive integers is 48. What are the integers?


Hint: n + (n+1) + (n+2) = 48

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.

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