Winter Term Assessment Review Game

Laws of Exponents

100

3²•3⁵

3²•3⁵ = 3²⁺⁵ = 3⁷

200

(5²)³

5^2•3 = 5⁶

300

6^9/6^4

6^9/6^4 = 6^(9-4) = 6^5

400

(2•5)³

2^3*5^3

500

((2x)/y)^7

((2x)/y)^7 = (2^7x^7)/y^7

600

solve and name the property of the following problem;

(3xy^2)^0

Zero power rule 

=1

Categorization of Polynomials

100

12

constant monomial

200

8x^3+2

cubic binomial

300

17x

linear monomial

400

3x^4+2x+1

quartic trinomial

500

-4x^5+2x^3-2x+1

quintic polynomial

600

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

quartic polynomial of 5 terms

Addition and Subtraction of Polynomials

100

(7j^3-2)+(5j3-j-3)

12j^3-j-5

200

6m^5+1+2m^5+9m-1

8m^5+9m

300

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

-8x^2-6x+6

400

(-x^2+x-4)-(3x^2-8x-2)

-4x^2+9x-2

500

(-x^2-5x-3)-(-7x^2-8x-8)

6x^2+3x+5

600

(5x^3+3x^2+5)-(7x^3-9x^2+8x-5)

-2x^3+12x^2-8x+10

Polynomial Multiplication

100

x^2(k^5x^3)

x^5k^5

200

2x^3(9x^2+5y)

18x^5+10x^3y

300

5x^2(3x^3+5x^2-4x+6)

15x^5+25x^4-20x^3+30x^2

400

(x+6)(x+2)

x^2+8x+12

500

(4x-3)(3x-5)

12x^2-29x+15

600

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

x^3-3x^2+5x-6

Factoring out the GCF

100

4k^3+12

gcf = 4

4(k^3+3)

200

-3a^4-9a

gcf = -3a 

-3a(a^3+3

300

-8x^5+8x^2y-36

gcf = 4

4(-2x^5+2x^2y-9)

400

27x^6+3xy-27x^2

gcf = 3x

3x(9x^5+y-9x)

500

-18b^6+18b^4-18b^3+9b

gcf = 9b

9b(-2b^5+2b^3-2b^2+1)

600

BONUS MATH TRIVIA QUESTION

what does GCF & LCM stand for?

GCF = greatest common factor 

LCM = least common multiple

Factoring when a=1

100

x^2-5x-36

(x-9)(x+4)

200

x^2+8x=-12

(x+6)(x+2)=0

x=-6, -2

300

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

400

factor completely 

x^2-x-6=0

(x-3)(x+2)=0

x=3 and x=-2

500

factor 

6x^2+6x-336

6(x-7)(x+8)

600

factor completely 

2x^2-2x-180

2(x+9)(x-10)

Factoring when a≠1

100

7x^2+5x=0

x=-5/7 and x=0

200

3x^4-10x^2-25

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

300

25x^2+20x+4=0

x=-2/5

400

3b^2+5b+3=5

b=1/3 and b=-2

500

3n^2-16n+8=3

x=1/3 and x=5

600

x^4+5x^2-14

(x^2+7)(x^2-2)