HI Test Review

Power/Product Property

100

Simplify: 

(x³)(x²)

x⁵

200

Simplify: 

(xy)³

x³y³

300

Simplify: 

(2x)²(x²)

4x⁴

400

Simplify: 

(3x⁴y)³ (2x²y²)²

108x¹⁶y⁷

500

Simplify: 

(3x⁵y²)²  (5x²y)⁴

5625x¹⁸y⁸

Quotient/Zero/Negative Property

100

Simplify: 

(3x)⁰

1

200

Simplify: 

x¹²/x²

x¹⁰

300

Simplify 

3x/x^-2

3x³

400

Simplify: 

2x^-5/ 8x

1/4x⁶

500

Simplify:

2^-2x^-1/2³x^-2

x/32

Exponent All Together

100

Simplify: 

r²/2r³

1/2r

200

Simplify: 

(4n⁴) (2n^-3)

8n

300

Simplify: 

(2x³y^-3) (2x^-1y³)

4x²

400

Simplify: 

4x⁰y^-2z³ / 4x

z³/y²x

500

Simplify: 

3x³y^-1z^-1 / x^-4y⁰z⁰

3x⁷/yz

Characteristics of Polynomials

100

Put the following polynomial in standard form: 

-2x²+3x³+12+x

3x³-2x²+x+12

200

What is the leading coefficient in the following: 

-2x²+3x³+12+x

3

300

What is the constant term for the following: 

-2x²+3x³+12+x

12

400

What is the highest degree for the following: 

-2x²+3x³+12+x

3

500

Put the following polynomial in standard form, identify the degree, leading coefficient, constant, and how many terms there are: 

2x+3x⁴-x²-4+3x³

Standard Form: 3x⁴+3x³-x²+2x-4

Degree: 4

Leading Coefficient: 3

Constant: -4 

Terms: 5

Operation of Polynomials

100

Simplify: 

(4x⁴-x²) + (5x²+x⁴)

5x⁴+4x²

200

Simplify: 

(5x+x⁴) - (3x⁴+4x)

-2x⁴+x

300

Simplify: 

(2x+3)(x-2)

2x²-x-6

400

Simplify: 

(x+5)²

x²+10x+25

500

Simplify: 

(4+3x²+8x³) + (-7x³+12x⁵+6x²)

12x⁵+x³+9x²+4