MTH 165 Week 4

Exponent Rules

100

x^2y^-4*x^3y^2

x^5/y^2

200

Rewrite the expression to in exponent form

sqrt(x^6)

x^(6/2)

300

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

12/(ab)

400

Simplify

((x^7*y^3)/(x^6*y))^4

x⁴y⁸

500

((2x^7*y^6)/(10x^4))^2

(x^6y^12)/25

Factoring

100

x^3+3x

x(x^2+3)

200

x^2+x-6

(x+3)(x-2)

300

Factor by grouping

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

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

400

10x^2+13x+3

(10x+3)(x+1)

500

4x^2+10x-6

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

Expanding

100

(x+6)^2

x^2+12x+36

200

(x-9)(x+9)

x^2-81

300

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

6x^2-x+35

400

(3-sqrt(x+4))(3+sqrt(x+4))

5-x

500

(3x-2y)(2x-3y)

6x^2-13xy+6y^2

Factoring (Pt. 2)

100

15x^7+20x^13

5x^7(3+4x^6)

200

x^2-10x+24

(x-6)(x-4)

300

9x^2-16

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

400

Factor by grouping

3x^2+6x-4x-8

(3x-4)(x+2)

500

3x^2-8x+4

(3x-2)(x-2)

SPT Trivia

100

What is Brandon's favorite food?

a) Spaghetti

b)Pears

c) Steak

d) Pizza

C) Steak

200

What is Elizabeth's favorite utensil?

a) chopstick

b) fork

c) spoon

d) knife

spoon

300

Elizabeth has five brothers. Which one does not belong?

Lance, Ryan, Ethan, Elijah, Silas, Mikey

Silas

400

What instrument does Brandon play?

Guitar

500

What are Brandon and Elizabeth's majors (be specific)?

Brandon - mechanical engineering

Elizabeth - Middle Childhood Education in Math and Social Studies