Pre-Algebra Book 4 Final

Adding Polynomials

100

   3x + 5
+ 4x + 1
________

7x + 6

200

    x² + 6x + 9
+  x² + 4x + 4
____________

2x² + 10x + 13

300

   3x² + 5x +2
+ 4x² + 3x + 2
_____________

7x² + 8x + 4

400

   5x² - 4x - 8
+ 6x² - 9x +7
___________

11x² - 13x - 1

500

(5x - 3) + (4x + 7) + (2x - 6) = 

11x - 2

Distributive Property

100

3 (x + 4) = 

3x + 12

200

x (x + 5)

x² + 5x

300

5x (2x + 6) = 

10x² + 30x

400

3x (x² - 5x + 2) = 

3x³ - 15x² + 6x

500

4x (2x³ + 3x² - x + 6) = 

8x⁴ + 12x³ - 4x² + 24x

Factoring Out Using Greatest Common Factor

100

5x + 20 = 

5 (x + 4)

200

6a - 30 = 

6 (a - 5)

300

18x - 27 = 

9 (2x - 3)

400

4x - 32 = 

4 (x - 8)

500

30a - 40 =

10 (3a - 4)

Monomial, Binomial or Trinomial

100

8a² - 2a

Binomial

200

y

Monomial

300

-8

Monomial

400

2x⁴ + 8x³ - x²

Trinomial

500

7a + 0

Binomial

Factor Polynomials

100

x² - 9 = 

(x + 3) (x - 3)

200

x² - 36 = 

(x + 6) (x - 6)

300

x² + 4x - 60 = 

(b + 10) (b - 6)

400

x² - 7x - 18 = 

(x + 2) (X - 9)

500

x² - 9x + 8 = 

(x - 1) (x - 8)