Unit 3 Test Review

Adding/Subtracting Polynomials

100

Simplify:

(x² + 3) + (2x² - 5)

What is:

3x² - 2

200

Simplify:
(4x² + 9) - (5x² - 2x)

What is:

-x² + 2x +9

300

Simplify:

(3x² - 12x + 4) + (10x² + 8x - 7)

What is: 

13x² - 4x - 3

400

Simplify:

(14x³ + 21x - 8) - (-4x² + 12x - 4)

What is: 

14x³ + 4x² + 9x - 4

Product/Quotient Rule of Exponents

100

Multiply: 

x^3 * x^9 * x^0

What is:

x^12

200

Divide:

(a^13)/(a^7)

What is: 

a^6

300

Multiply:

(4r^5s^2) * (3rs^8)

What is: 

12r^6s^10

400

Divide: 

(4a^2b^9)/(2a^7b^4)

What is: 

(2b^5)/a^5

Power Rule of Exponents

100

Simplify: 

(2x^3)^4

What is: 

16x^12

200

Simplify: 

4(a^4)^8

What is: 

4a^32

300

Simplify: 

(4y^2x^7)^3

What is 

64y^6x^21

400

Simplify: 

(-2x^6y)^2

What is: 

4x^12y^2

Negative Exponent Rule

100

Simplify: 

(24b^5)/(36b^7)

What is: 

(2)/(3b^5)

200

Simplify:

(8x^-7y^4) * (2x^2y^-2)

What is: 

(16y^2)/(x^5

300

Simplify: 

(3a^-2b^4)^2

What is: 

(9b^8)/(a^4)

400

Simplify: 

((m^-4n^3)/(m^2n^-5))^3

What is:

(n^24)/(m^18)

Multiplying Polynomials

100

Simplify: 

4x(6x^2 - 7x + 3)

What is: 

24x^3 - 28^2 + 12x

200

Multiply: 

(x + 6) (x + 5)

What is:

x^2 + 11x + 30

300

Multiply: 

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

What is: 

6x^3 - 2x^2 + 12x - 4

400

Multiply: 

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

What is: 

6a^3 - 19a^2 - 17a + 35

Special Cases

100

Multiply: 

(p - 4) ( p + 4)

What is: 

p^2 - 16

200

Multiply: 

(a + 5)^2

What is: 

a^2 + 10a + 25

300

Multiply: 

(8x - 7)(8x + 7)

What is: 

64x^2 - 49

400

Multiply: 

(3x + 9y)^2

What is: 

9x^2 + 54xy + 81y^2