Worksheet on Addition of Polynomials

Practice the questions given in the worksheet on addition of polynomials. The questions are based on arranging the expressions to find the sum of monomials, binomials, trinomials and polynomials.

1. Arrange and add the monomials:    

(i) –8abc and 10abc

(ii) 5x2yz2 and 9x2yz2

(iii) -6z7, and 5z7


2. Arrange and add the binomials:    

(i) 2p + 3q and 7p + 8q

(ii) 14x -3y and -5x + 11y

(iii) 2x2y and -8x2y

3. Arrange and add the trinomials:

(i) 4x + 5y – 3z and 9x – 6y + 4z

(ii)3x2 + 4xy + 5y2 and 9y2 – 10x2 – 6xy

(iii) 14xy + 17yz + 13xz and 8xy – 15yz + 12xz


Now we will proceed from basic to intricate problems on arranging and adding polynomials provided in the worksheet on addition of polynomials.

4. Find the sum of:

(i) 3x2 – 2xy + 4y2 and – x2 + 4xy – 2y2

(ii) 3p + 4q + 7r, -5p + 3q – 6r and 4p – 2q – 4r

(iii) 2a2 + ab - b2, -a2 + 2ab + 3b2 and 3a2 – 10ab + 4b2

(iv) k2 – k + 1, -5k2 + 2k – 2 and 3k2 – 3k + 1

(v) x2 – xy + yz, 2xy + yz – 2x2 and -3yz + 3x2 + xy

(vi) 4u2 + 7 – 3u, 4u – u2 + 8 and -10 + 5u – 2u2


5. Add the following expressions:

(i) 3xyz + 4yz + 5zx, 7xz – 6yz + 4xyz and -9xyz – 11zy + 9xz

(ii) x3 – 2y3 + x, y3 – 2x3 + y and -2y + 2y3 – 5x + 4x3

(iii) 7p2 – 4p2q + 8q2, 5q2 – 2p2 + 6p2q and 3p2q + 10p2

(iv) 9x2 – 7x + 5, -14x2 – 6 + 15x and 20x2 + 40x - 17

(v) –m2 – 3mn + 3n2 + 8, 3m2 – 5n2 – 3 + 4mn and -6mn + 2m2 – 2 + n2



6. If P = a2 – 2bc + b2, Q = -b2 + bc – c2 and R = c2 + cb + a2 then, find the value of P + Q + R.


Answers for the worksheet on addition of polynomials are given below to check the exact answers of the above addition.


Answers:


1. (i) 2abc

(ii) 14x2yz2

(iii) -z7



2. (i) 9p + 11q

(ii) 9x + 8y

(iii) -6x2y



3. (i) 13x - y +z

(ii) -7x2 - 2xy + 14y2

(iii) 22xy + 2yz + 25xz



4. (i) 2x2 + 2xy + 2y2

(ii) 2p + 5q – 3r

(iii) 4a2 – 7ab + 6b2

(iv) –k2 – 2k

(v) 2x2 + 2xy - yz

(vi) u2 + 6u + 5



5. (i) -2xyz – 13yz + 21xz

(ii) 3x3 + y3 – 4x – y

(iii) 15p2 + 5p2q + 13q2

(iv) 15x2 – 32x – 18

(v) 4m2 – 5mn – n2


6. 0

Terms of an Algebraic Expression - Worksheet

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

Worksheet on Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

Worksheet on Multiplying Monomial and Polynomial

Worksheet on Multiplying Binomials

Worksheet on Dividing Monomials






6th Grade Math Practice

Math Home Work Sheets

From Worksheet on Addition of Polynomials to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Addition and Subtraction of Fractions | Solved Examples | Worksheet

    Jul 18, 24 03:08 PM

    Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Jul 18, 24 01:19 AM

    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Fractions in Descending Order |Arranging Fractions an Descending Order

    Jul 18, 24 01:15 AM

    We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

    Read More

  4. Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

    Jul 18, 24 01:02 AM

    Comparison Fractions
    We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…

    Read More

  5. Worksheet on Comparison of Like Fractions | Greater & Smaller Fraction

    Jul 18, 24 12:45 AM

    Worksheet on Comparison of Like Fractions
    In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced

    Read More

Terms of an Algebraic Expression

Types of Algebraic Expressions

Degree of a Polynomial

Addition of Polynomials

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials