W ARM U P S EPT. 6 TH Factor: 1. x 2 – 4 x + 6 x – 24 2. 2x 2 y + 2xy – 40y 3. 25w 2 + 30w + 9 4. 8y 3 – 64.

WARM UP SEPT. 6TH

Factor:

1. x2 – 4x + 6x – 24

2. 2x2y + 2xy – 40y

3. 25w2 + 30w + 9

4. 8y3 – 64

WORD PROBLEMSSeptember 6th

WORD PROBLEM #1

A triangle has 3 sides with lengths 8x + 6, 5x – 5, and -6x + 12. What is the perimeter of the triangle?

7x + 13

WORD PROBLEM #2

The dimensions of a window are 3x + 10 and 2x + 6. What is the area of the window?

6x2 +38x + 60

WORD PROBLEM #3

Find the area of the figure below.

x2 + 19x + 60

15

x

x

4

WORD PROBLEM #4

Find the area of the figure below.

2x2 + 14x + 24

8 2x

x

3

WORD PROBLEM #6

The cost of a video game can be modeled by the equation C = 3x + 2. The number of games sold can be modeled by the equation N = 8x – 7. Write a model for the revenue from the sale of the games.

R = 24x2 – 5x – 14

WORD PROBLEM #7

A box shaped like a rectangular prism has a volume of 280 in.3. Its dimensions are 4 in by (n + 2)in. by (n + 5)in. Find n.

n = 5 & -12

WORD PROBLEM #8

You are constructing a frame for the rectangular photo shown. You want the frame to be the same width all the way around and total area of the frame and the photo to be 315 in.2. What should the outer dimensions of the frame be?

2 in

WORD PROBLEM #9

The number of cars sold in 2010 can be modeled by the expression x3 + 7x2 – x + 4. In 2000, the number of cars sold can be modeled by the expression 4x2 + 3x + 2. Find an expression that modeled how many more cars were sold in 2010 than in 2000.

x3 + 3x2 – 4x + 2

WORD PROBLEM #10

A rectangle has an area of 7x² + 11x + 4 Find each of the side lengths & its perimeter.

Side Lengths = (7x + 4) and (x + 1) Perimeter = 16x + 10

WORD PROBLEM #11

When 2r2 + 33r – 54 and r2 + 18r are factored, a common factor is what?

(r + 18)

WORD PROBLEM #12

If x + 3 is a factor of x2 – 4x – w , then what is the value of w?

x – 7

HOMEWORK

Worksheet

COMPLETE WORK ON A SEPARATE SHEET OF PAPER

Staple when you turn in! Thank you!