Algebra 1: Unit 6 Review

Exponent Rules

100

Simplify...

x⁸/x⁵

What is...

X³

200

Simplify...

21y⁷/7y⁴

What is...

3y⁴

300

Simplify...

4x³y¹⁶/5x²y⁵

What is...

4xy¹¹/5

400

Simplify...

24x²y³(2x⁸)/6xy²

What is...

8x⁹y

500

Simplify...

9a⁷b(3a⁶b²)/18a⁵b³

What is...

3a⁵/2

Add & Subtract polynomials

100

Simplify...

(7x⁴+9x³-2x⁵+x²-7)-(-9x⁶+8x⁵+4x⁴+2x²+7)

 What is...

 9x⁶-10x⁵+3x⁴+9x³-x²-14

200

Simplify...

(7xy³+9yx³-8x²+9y-7)+(7xy⁴+8yx³-6x²-8x+9)

What is...

7xy⁴+7xy³+17yx³-14x²+9y-8x+2

300

Simplify...

(9xy⁷+8z⁶-7x⁵+10x⁸-3)-(19xy⁷-6z⁵+8x⁸+18)

What is...

2x⁸-10xy⁷+8z⁶-7x⁵+6z⁵-23

400

Simplify...

(5x³-6x+10)+(x³+10x-9)

What is...

6x³+4x+1

500

Simplify...

6x²-3x+4-(-2x²+2x-2)

What is... 

8x²-5x+6

Multiply Polynomials(F.O.I.L and Box Method)

100

Simplify...

(2x+9)(8x-7)

(Use Box Method/ Area Model)

What is...

16x²+58x-63

200

Simplify...

(x-4)(x+10)

(use F.O.I.L)

What is...

x²+6x-40

300

Simplify...

(2x+y+z)(3x+2)

(Use F.O.I.L)

What is...

6x²+4x+3xy+2y+3xz+2z

400

Simplify...

(x²+9x)(9x³+8x+4)

(Use Box Method/ Area Model)

What is...

9x⁵+81x⁴+8x³+76x²+36x

500

Simplify...

(5x²+9x(4x⁴+x²)+8x)(10x²-8x+9(5-7x²)-8)

(Use F.O.I.L)

What is...

-3816x⁷+2565x⁵-962x⁴-262x³+306x²+232x

Factoring Monomials

100

Factor...

3x⁴-6x²

What is...

3x²(x²-2)

200

Factor...

6x⁴+8x³-2x²

What is...

2x²(3x²+4x-1)

300

Factor...

15x⁴-10x³+5x²

What is...

5x²(3x²-2x+1)

400

Factor...

32x²-72x²+40x²

What is...

8x²(4x-9+5)

500

Factor...

36x⁴y²-18x³y⁵-9x³y²

 What is...

9x³y²(4x-2y³-1)

Factoring Trinomials

100

Factor...

4x²+15x+9

What is... 

(4x+3)(x+3)

200

Factor...

2x²-2x-24

What is...

(x+3)(2x-8)

300

Factor...

2x²+13x+15

What is...

(2x+3)(x+5)

400

Factor...

10x²+38x+24

What is... 

(2x+6)(5x+4)

500

Factor...

x³-4x²-5x

What is...

(x²+x)(x-5)