Polynomials Review

Adding/Subtracting

100

(x + 4) + (2x + 7)

3x + 11

200

(x² + x + 15) - (x² + x - 6)

 21

300

(-x² + 5x) - (x² - 6 - 5x)

-2x²+10x+6

400

(4x³ - 5x + 8) + (x² + 6x - 15)

4x³ + x² + x - 7

500

(4x³ + 3x² - 6) - (-x² - 5x - 7)

4x³ +4x² + 5x + 1

Word Problems

100

The measure of each side of a triangle is 3x + 1. Find the perimeter of the triangle.

9x + 3

200

What is the sum of x² + 5 and 3x² - 5x + 3?

4x² - 5x + 8

300

In the National Football League, the length of the playing field is 40 feet longer than twice its width. Express the length and width of the field as polynomials and then find the polynomial that represents the area of the playing field.

w; 2w + 40; Area: 2w² + 40w

400

A rectangle has a length of 5x + 2 and a width of x - 4. Write an expression in simplest form to represent the area of the rectangle.

5x² - 18x - 8

500

The length of a pool table is twice as long as its width. Suppose the width of a pool table is 4x - 1. What is the length of the table?

8x - 2

Multiplying Monomials

100

2x(3x - 6)

6x² - 12x

200

-5x(x² - 5x + 2)

-5x³ + 25x² - 10x

300

x³(2x² - 6x - 4)

2x⁵ - 6x⁴ - 4x³

400

9xy(2x²y + 9xy - 4xy²)

18x³y² + 81x²y² - 36x²y³

500

-5xy²(-x³y + 4xy³)

5x⁴y³-20x²y⁵

Multiplying Binomials

100

(x + 6)(x - 4)

x² + 2x - 24

200

(2y - 3)(2y + 3)

4y² - 9

300

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

-8x² - 16x - 6

400

(x - 2)²

x² - 4x + 4

500

(5m - 3n)²

25m² - 30mn + 9n²