Exponent Rules and Polynomials

Exponent Rules

100

Use the product rule for exponents to multiply:

4x^3*5x^2

20x^5

200

Use the quotient rule for exponents to divide:

(x^2y^5)/(xy^3)

xy^2

300

Use the power rule to simplify:

(4x^2yz^3)^2

16x^4y^2z^6

400

Use the quotient rule and the negative exponent rule to simplify:

(2x^2y^4)/(8x^5y^5)

(1)/(4x^3y)

500

Use the exponent rules to simplify:

(x^3y^4)^3*(3xy^2)^2

9x^11y^16

More Exponents

100

Simplify

(3x³y²)(2x^-4y⁷)(x³y³)

6x²y¹² 

200

Simplify

-4x⁷y⁹  /  48x⁷y¹²

-1/12y³

300

 (x^9)³

x²⁷

400

Simplify

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

16x²⁰y¹²

500

Simplify

(2xy^5)/(3x^3) * (9x^4y^2)/(3xy^3)

2xy⁴

Adding & Subtracting Polynomials

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4)+(19x^2-7)

23x^2-3

200

Add the following polynomials. Write your final answer in standard form.

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

300

Add the following polynomials. Write your final answer in standard form.

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2)-(11x-6)

-8x+8

500

Subtract the following polynomials. Write your final answer in standard form.

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

-2x+6

Multiplying Polynomials

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

Multiply the polynomials. Write your final answer in standard form.

(9x+1)(6x+2)

54x^2+24x+2

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)^2

16x^2-8x+1

400

Multiply the polynomials. Write your final answer in standard form.

(7x+4)(7x-4)

49x^2-16

500

Multiply the polynomials. Write your final answer in standard form.

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

6x^3-17x^2+17x-30

Distributive Practice

100

Solve for x

-3+2(x-8)=7(3x+2)

x= -33/19

200

Solve for x

3x+27=9

x=-6

300

Solve:

11x⁰

11

400

Solve

(6x⁴)⁰

1

500

Solve

-10 lx-9l -8 =-58

x=14, x=-4