Adding and subtracting polynomials worksheet answers pdf

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

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Adding and subtracting polynomials worksheets help students get familiar with the concept of addition and subtraction of polynomials. Polynomials form the basis of several topics related to algebra that students need to know before working with various expressions and equations.

Benefits of Adding and Subtracting Polynomials Worksheets

Adding and subtracting polynomial worksheets give students a platform to access numerous questions that are well structured. As these worksheets have an increasing level of difficulty, they are easy to work with, and students can strengthen their concepts.

Students need to study according to their learning curve, and these worksheets are flexible enough to allow young minds to work at their own pace. These math worksheets also deal with the logical and reasoning aspect of mathematics and help students in real-life scenarios as well.

With the help of visuals, students can get a better understanding and easily navigate through these worksheets in an engaging manner. The stepwise approach of these worksheets helps students understand concepts better and solidify their understanding of the topic.

Download Adding and Subtracting Polynomials Worksheet PDFs

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