Unit 2 Review

Exponents & Properties

100

Rewrite in radical form: 

49^(1/2)

sqrt49

200

Rewrite in exponential form: 

root(3)(125)

What is 

125^(1/3)

300

What are all the equivalent forms of 3^-2

1/3^2 and 1/9

400

Simplify: 

(2x^3)^4

16x^12

500

Simplify: 

(8x^5y^3)/(4x^2y)

2x^3y^2

Polynomial Operations

100

Simplify: 

(x+2)(x+5)

x^2+7x+10

200

Add: 

(4x^2+3x+5)+(2x^2-6x+7)

6x^2-3x+2

300

Subtract: 

(5x^3+2x–4)–(3x^3–6x+1)

2x^3+8x–5

400

Multiply: 

(x–3)(x^2+2x–1)

x^3–x^2–7x+3

500

Rearrange and write in standard form: 

4(x–1)^2–6

4x^2–8x–2

Factoring & Dividing

100

Divide: 

(12x^3)/(3x)

4x^2

200

Divide: 

(15x^4-10x^2)/(5x^2)

3x^2-2

300

Expand and write in standard form: 

2(x+3)(x+4)

2x^2+2x–24

400

Divide: 

(20x^4–25x^3+15x^2)/(5x^2)

4x^2–5x+3

500

Rearrange into standard form: 

3(x–2)^2–(x+1)

3x^2–13x+11

Polynomial Classification

100

Classify by term: 

7y^3+2y–5

Trinomial

200

Classify by terms: 9x⁴ 

Monomial

300

Classify by degree: 

3m^2–2m+7

Quadratic

400

Classify by degree: 

−5n^4 +2n^3

Quartic

500

True or False: This is a binomial

x^4+x^3+x^2

False

Application Problems

100

The perimeter of a rectangle is 12x+20. If one side is 3x+2, find the expression for the other side.

3x+8

200

A triangle has sides 2x+3, x+4, and 2x-1. What is the perimeter.

5x+6

300

The area of a rectangle is 4m²+12m. If the width is 2m, what is the length?

2m+6

400

Find the area of a rectangle with length (x+5) and width (x-2)

x²+3x-10

500

A square has an area of 9x²-24x+16. Find the side length.

3x-4