Algebra: Unit 4 Review

Simplifying Radicals

100

\sqrt{49}

7

200

\sqrt{20}

2\sqrt{5}

300

\sqrt{50}

5\sqrt{2}

400

\sqrt{300}

10\sqrt{3}

500

\sqrt{363}

11\sqrt{3}

Classifying Polynomials

100

Name: 

2x^2-10

Quadratic Binomial

200

Name: 

5x^3

Cubic Monomial

300

Name: 

7^5-10x^3-10x

5th-Degree Trinomial

400

Name: 

11

Constant Monomial

500

Name: 

15-x^2+10x^3

Cubic Trinomial

PolynomialOperations

100

(2x+10) + (5x-3)

7x+7

200

(4x^3-2x^2+11) + (7-2x^2)

4x^3-4x^2+18

300

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

x^2+4x

400

(x+5)(x-2)

x^2+3x-10

500

(3x-8)(2x+1)

6x^2-13x-8

Factoring

100

Factor out the GCF:

2x^2+10x

2x(x+5)

200

Factor out the GCF:

8x^3+12x^2-40

4(2x^3+3x^2-10)

300

Factor using X-Box method:

x^2+7x+10

(x+2)(x+5)

400

Factor using X-Box Method:

x^3-2x^2-48x

x(x+6)(x-8)

500

Factor using X-Box Method:

2x^2+5x+3

(2x+3)(x+1)

WordProblems

100

A triangle has 3 equal sides all of length '2x+5". Write an equation that represents the perimeter of the triangle.

6x+15

200

A rectangle has a width of '2x+1' and a height of 'x-3'. Write an expression that defines the rectangles perimeter.

6x-4

300

The area of a triangle is defined by: A = 1/2 bh

If  b = \sqrt{6} and  h = \sqrt{10} Solve for A. (Put answer in simplest form)

\sqrt{15}

400

A rectangle has a width of 'x+5' and a height of 'x-2'. Write an equation in standard form that defines the area of the rectangle.

x^2+3x-10

500

A square has an area defined by the equation:

4x^2+4x+1

 Write a binomial to describe the square's side length.

2x+1