Chapter 7 Test Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying binomials

100

(x + 6) (x + 3)

x² - 3x - 18

200

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

6x² + 7x - 20

300

(x - 8)(2x + 3)

2x² - 13x - 24

400

(y + 9) (y + 9)

y² + 18y +. 81

500

(x - 12)(x + 12)

x² - 144

Factoring when a=1

100

x^2+9x+20=0

 

x=-4 and x=-5

200

x^2+3x-4=0

x=-4 and x=1

300

x^2-5x-46=4

x=10 and x=-5

400

x^2-13x+1=-9x+6

x=5 and x=-1

500

x^2-x+8=-10x

x=-1 and x=-8

Factoring when a≠1

100

2x^2-7x+5=0

x=5/2 and x=1

200

5x^2+7x-6=0

x=3/5 and x=-2

300

3x^2+2x-8=0

x=4/3 and x=-2

400

5x^2-19x+6=-6x

x=3/5 and x=2

500

5x^2+10x=x-4

x=-4/5 and x=-1

Factoring by Grouping

100

x^3+3x^2-25x-75

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

200

16x^3+16x^2-9x-9

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

300

x^3+x^2-25x-25

(x+5)(x-5)(x+1)

400

12x^3+16x^2-75x-100

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

500

x^3+6x^2+16x+96

(x^2+16)(x+6)