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MCA - 5.2 - Add & Subtract Polynomials - Printable Math Worksheets class 12 - Wayground

MCA - 5.2 - Add & Subtract Polynomials

George Brown

Created by George Brown

19 questions

12th Grade

Math

Updated Sept 2026

This Grade 12 mathematics worksheet builds foundational and procedural fluency with polynomials. Students classify expressions as monomials, binomials, trinomials, or polynomials; identify whether an expression is a polynomial; count terms; determine constants, coefficients, leading coefficients, and degree; and recognize polynomial functions. The 19-item set includes 17 multiple-choice questions, one matching item, and one fill-in-the-blank item. Students also practise putting polynomials in standard form and adding, subtracting, and simplifying polynomial expressions by combining like terms. The questions require careful handling of negative signs, term order, exponents, and subtraction across parentheses, making the worksheet useful for guided practice, independent review, or a skills check. This free printable worksheet includes a complete answer key for efficient teacher feedback and grading.

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MCA - 5.2 - Add & Subtract Polynomials

Total questions: 19

Name
Class
Date
1.
Classify
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
2.
Polynomial or not?
Polynomial or not?
a)
polynomial
b)
not a polynomial
3.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
4.
What is the value of the constant?
2x² + 4x − 5
a)
2
b)
4
c)
5
d)
−5
5.

Determine if the following is a polynomial function. If so, state the degree.

p(x)=5x3−14x2−9p\left(x\right)=5x^3-\frac{1}{4}x^2-9  

a)

Not a polynomial

b)

Polynomial of degree 3

c)

Polynomial of degree 5

d)

Polynomial of degree 2

6.

Determine if the following is a polynomial function. If so, state the degree.

h(x)=x2−2x3−1h\left(x\right)=\frac{x^2-2}{x^3-1}  

a)

Not a polynomial

b)

Polynomial of degree 2

c)

Polynomial of degree 3

d)

Polynomial of degree 5

7.

Which is the degree of the monomial?

2x2y3z

a)

2

b)

3

c)

1

d)

6

8.
What is the value of the coefficient?
−3x+6
a)
3
b)
6
c)
−3
d)
x
9.
What is the leading coefficient of this polynomial?

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

10.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
11.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
12.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
13.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
14.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
15.
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
16.

Match the following:

Monomial

( −2x-2x )

Binomial

( 3x2+73x^2+7 )

Trinomial

( 5x2+7x−105x^2+7x-10 )

Polynomial

( 8x4+7x2+3x−98x^4+7x^2+3x-9 )

17.
What is the perimeter of the rectangle?

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

18.
The area of the shaded region can be expressed as...

The area of the shaded region can be expressed as...

a)

(8-2t)(3t)+(3-t)(t)

b)

(8-2t)(3t)-(3-t)(t)

c)

(3-t)(t)-(8-2t)(3t)

d)

(3-t)(t)+(8-2t)(3t)

19.

Type in the correct words that will fill in the missing blanks:

(and yes, spelling does count on this problem)

The first Learning Target of this Section was "Identify the - - - - of polynomials.

(a)  

WaygroundAnswer Key

MCA - 5.2 - Add & Subtract Polynomials

Total questions: 19

1.
c) Trinomial
2.
b) not a polynomial
3.
d) D
5
4.
d) −5
5.
b)

Polynomial of degree 3

6.
a)

Not a polynomial

7.
d)

6

8.
c) −3
9.
c)

-1

10.
a) 4x4 - 9x3 - 10x2 - 24
11.
d) -2x2 + 11x -4
12.
c) -x2 -6x + 8
13.
b) 5b4 - 2b3 + 4
14.
a)  - 3x3 - x2 - 10x + 12
15.
a) -8n2 - 8n + 3 
16.

Monomial

 - 

( −2x-2x )

, 

Binomial

 - 

( 3x2+73x^2+7 )

, 

Trinomial

 - 

( 5x2+7x−105x^2+7x-10 )

, 

Polynomial

 - 

( 8x4+7x2+3x−98x^4+7x^2+3x-9 )

17.
b)

2x²+16x-10

18.
b)

(8-2t)(3t)-(3-t)(t)

19.
degrees and leading coefficients

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FAQs

What does this worksheet cover, and how does it help students learn polynomial operations?

This Grade 12 worksheet combines polynomial vocabulary and structure with computation: students identify types of polynomials, terms, constants, coefficients, degree, leading coefficients, and standard form before adding, subtracting, and simplifying expressions. Its multiple-choice, matching, and fill-in-the-blank items reinforce combining like terms and applying the distributive property correctly, especially when subtracting a polynomial in parentheses.

How can I use this worksheet to teach classifying and adding or subtracting polynomials?

Begin by reviewing how to identify terms, coefficients, constants, degree, and standard form, then model one addition and one subtraction problem by grouping like terms and distributing a negative sign. Have students explain why each term belongs in a particular group before completing the worksheet, and use the answer choices to discuss distractors caused by sign errors, incorrect term counts, or misplaced powers.

What mistakes should I watch for when students complete this polynomial worksheet?

Students may confuse a polynomial’s constant with its coefficient, count terms incorrectly, or find the degree of a monomial from only one exponent instead of adding the exponents. In the addition and subtraction items, watch for failing to distribute the negative sign to every term, combining unlike powers, and writing the result out of standard form.

How do I assign and grade this polynomial worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 19 items. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital quiz supports online completion and grading.

How can I differentiate this polynomial worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the polynomial expressions and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work through the classification and polynomial addition and subtraction items.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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