Functions

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Domain and Range

100

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

{1,0,-1}

200

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

III Quadrant

300

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

-17

400

Find f(5) when f(x) = -x²+6x - 4 

1

500

Given g(x) = x²+2x-30, find -2g(-5)

-30

Domain & Range Grab Bag

100

Given f(x) = 8 - 3x

Find x when f(x) = -13

x = 7

200

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

8 - 20c

300

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

-2 + 5k

400

What Quadrant does (0,3) lie?

None, y - axis

500

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

k = 4

Word Problems

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

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

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

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

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.