Alg 1 7.1-7.3 Test Review

Polynomial Classification & Standard Form

100

Write the given polynomial in standard form: 

3x+7-2x^2

-2x^2+3x+7

200

State the degree of the given monomial: 

-7m^3n^5p^2

10

300

State the degree and the number of terms: 

x^3-8

Degree is 3 ; it cubic binomial

400

State the degree: 

5x^2y^4z

7

500

State the degree, number of terms and write in standard form:

-6x+2x^4-3+x^2

degree: 4, polnomial, 

2x^4+x^2-6x-3

Polynomial Addition

100

Find the sum. Make sure final answer is written in standard form:

(2x+3)+(4x-1)

 

6x+2

200

Find the sum. Make sure final answer is written in standard form:

(5t^2-3t)+(2t^2+7t)

7t^2+4t

300

Find the sum. Make sure final answer is written in standard form:

(-5t^3-7t^2)+(2t^3+8t-5)

-3t^3+t^2-5

400

Find the sum. Make sure final answer is written in standard form:

(9x^2-4x+1)+(-3x^2+8x-6)

6x^2+4x-5

500

Find the sum. Make sure final answer is written in standard form:

(4x^3-2a+7)+(-a^3+5a^2-9)

3a^3+5a^2-2a-2

Polynomial Subtraction

100

Find the difference. Make sure final answer is written in standard form:

(6x-2)-(3x+1)

3x-3

200

Find the difference. Make sure final answer is written in standard form:

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

-x^2+7x

300

Find the difference. Make sure final answer is written in standard form:

-w-6w^2+3-(4-8w-w^2)

-5w^2+7w-1

400

Find the difference. Make sure final answer is written in standard form:

(7y^3-y)-(2y^3+5y-9)

5y^3-6y+9

500

Find the difference. Make sure final answer is written in standard form:

(3a^2-4a+8)-(-5a^2+6a-2)

8a^2-10a+10

Polynomial Multiplication

100

Find the product. Make sure final answer is written in standard form:

(x+2)(x+3)

x^2+5x+6

200

Find the product. Make sure final answer is written in standard form:

3x(5x^2-8x+4)

15x^3-24x^2+12x

300

Find the product. Make sure final answer is written in standard form:

(x+4)^2

x^2+8x+16

400

Find the product. Make sure final answer is written in standard form:

(5x-3)^2

25x^2-30x+9

500

Find the product. Make sure final answer is written in standard form:

(2a-3)(4a^3+a^2-5a+9)

8a^4-10a^3-13a^2+33a-27

Application

100

Write a polynomial in simplest form that represents the perimeter of a square with a side length of x+3

4x+12

200

Write a polynomial in simplest form that represents the area of a rectangle with a lenght of 2x+5 and width of x-1.

2x^2+3x-5

300

Write a polynomial in simplest form that represents the area of a square with a side length of 3x-2.

9x^2-12x+4

400

Write a polynomial in simplest form that represents the perimeter of a rectangle with a length of 4x-7 and width of 2x+3.

12x-8

500

A rectangle has a perimeter of 20x+16. If the length of the rectangle is 6x+5, what is the width?

4x+3