Free Printable Adding and Subtracting Polynomials

1.

Add: (3x - 2) + (3x² + 6x)

a)

3x² + 9x - 2

b)

6x²+ 4x

c)

3x²+ 3x - 2

d)

6x² + 6x - 2

2.

Add: (3x² + 2x + 1) + (2x² - 4x - 5) + (3x - 1)

a)

5x² + 6x - 7

b)

8x²- 3x - 5

c)

5x²+ x - 5

d)

6x² + 8x + 5

3.

Like terms must have...

a)

The same coefficient

b)

The same variables

c)

The same variables and exponents

d)

The same coefficient, variables, and exponents

4.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y³and x³

c)

y and x

d)

-3x and 3x

5.

What is the perimeter of this parallelogram?

a)

9x

b)

5x + 4

c)

10x + 8

d)

6x²-9x -45

6.

Which of these is in Standard Form? *More than 1.

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

7.

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

a)

Boss coefficient

b)

Leading coefficient

c)

Best coefficient

d)

Greatest common coefficient

8.

What is the degree of the following function?
y = 25 - x²

a)

25

b)

1

c)

2

d)

-1

9.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

10.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

11.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

12.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

13.

Add or Subtract to simplify

\left(5x^2-7x+6x^3+11\right)-\left(2x^4-3x-7x^2+8\right)

a)

$-2x^4+6x^3+12x^2-4x+3$

b)

$2x^4+6x^3-2x^2-10x+19$

c)

$-2x^4-6x^3-2x^2-10x+19$

d)

$-2x^4+6x^3+12x^2+4x-3$

14.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

15.

Add or Subtract to Simplify:
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

Adding and Subtracting Polynomials

Total questions: 15

Worksheet time: 4hrs 45mins

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