Free Printable Adding and Subtracting Polynomials

1.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

2.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y³and x³

c)

y and x

d)

-3x and 3x

3.

Add the polynomials.
(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

4.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

5.

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

6.

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

7.

Combine like terms:

8x³y + 3x²y + 4xy + 5x²y + 2xy + 7x²y

a)

8x³y + 8x²y + 2xy

b)

11x³y + 15x²y + 8xy

c)

8x³y + 15x²y + 6xy

d)

23x²y + 6xy

8.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

9.

What is a coefficient?

a)

The number in front of a variable.

b)

The exponent of a variable.

c)

A constant.

d)

A variable.

10.

What are like terms?

a)

The same coefficients.

b)

The same variables with different exponents.

c)

Terms with the same variable and exponents combination.

d)

Different variables with same exponents.

11.

Which are like terms?

a)

$3x^2y^3\ \ and\ -5x^2y^2$

b)

$2x^3y^4\ \ and\ \ -3x^3y^4$

c)

$5x^2y^2\ \ and\ \ 5x^3y^3$

d)

$2xy\ \ and\ \ 5ab$

12.

$Add\ the\ following:\ \ 3x^2y^4\ +\ 7x^2y^4$

a)

$10x^4y^8$

b)

$21x^2y^4$

c)

$21x^4y^8$

d)

$10x^2y^4$

13.

$Add:\ \ \left(9x^3+5x^2-3x\right)+\left(4x^3-8x^2+7x\right)$

a)

$5x^3-3x^2+4x$

b)

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

c)

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

d)

$14x^6$

14.

$Subtract:\ \ \left(3r^4+4r^3\right)-\left(r^4-5r^3\right)$

a)

$2r^4-r^3$

b)

$2r^4-5r^3$

c)

$2r^4+9r^3$

d)

$11r^7$

15.

$Subtract:\ \ \left(6x^4-5x^3+2x^2-8x\right)\ -\ \left(4x^4+5x^3+3x^2+12x\right)$

a)

$10x^4-10x^3-x^2-20x$

b)

$2x^4-10x^3-x^2-20x$

c)

$2x^4-x^2-20x$

d)

$2x^4-20x$

Adding and Subtracting Polynomials

Total questions: 15

Worksheet time: 31mins

Similar Resources on Wayground