Unit 3 Review

Add/Subtract Polynomials

100

Simplify the expression.

(2x³-5x+3)+(2x³+3x)

4x³-2x+3

200

Simplify the expression

(3x²+4x-2) + (9x³-4x²+5x)

9x³-x²+9x-2

300

Subtract (x² +x -2) from (4x² - 3x)

3x² -4x + 2

400

Simplify the expression 

(x³ +7x² -6x) - (5x² -3x +1)

x³ +2x² -3x - 1

500

(4x² -8) + (x³ -2x² +1) - (x² +5x +3)

x³ +x² -5x -10

Multiplying Polynomials

100

Simplify the expression

(2x - 1)(x + 3)

2x² + 5x - 3

200

Multiply

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

6x² -2x -20

300

(x - 7)²

x² - 14x + 49

400

(5y + x)(y - 2x)

5y² - 9xy - 2x²

500

(x - 2)(x² + 7x +8)

x³ + 5x² - 6x +16

Factoring a =1 & GCF

100

Factor the following. 

x² + 8x + 15

(x + 3)(x + 5)

200

Factor the trinomial.

x² - 12x +32

(x - 8)( x - 4)

300

Factor the quadratic.

x² - x - 56

(x - 8)(x + 7)

400

Factor completely. 

2x² + 8x - 10

2(x + 5)(x - 1)

500

Factor completely.

4x² + 32x + 48

4(x + 6)(x + 2)

Factoring a > 1

100

Factor completely. 

3x² + 5x + 2

(x + 1)(3x +2)

200

Factor the following.

2x² - 7x -9

(2x - 9)(x + 1)

300

Factor the trinomial.

6x² - 4x - 4

(3x - 4)(2x + 1)

400

Simplify the quadratic by factoring. Write answer in 2 ways. 

16x² - 8x + 1

(4x - 1)(4x - 1) = (4x - 1)²

500

Factor the following.

9x² - 25

(3x + 5)(3x -5)

Area/Perimeter problems

100

A triangle has side lengths (x+1),(2x - 5), and (4x+3). Find the perimeter.

7x - 1

200

Sara is building a new fence around her rectangular garden. The width of the garden is (2x +2) and the length is (3x -1), in feet. How much fencing does Sara need to surround the garden. 

10x + 2 ft

300

Find the area of a picture frame with width (x+4) and length (x +5) in inches. 

x² + 9x +20 in²

400

The area of a rectangular plot of land is given, where x is in meters. 

2x² +13x - 15

What could be the length and width of the land?

(2x + 15)( x - 1) 

500

Consider a rectangle with sides (x) and (x+7). If both sides are doubled, what is the new area of the rectangle?

4x² + 28x