Adding and subtracting polynomials worksheet with answers

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Practice the problems given in the worksheet on adding and subtracting polynomials. The questions are based on different types of word problems on addition and subtraction of polynomials.

1. Solve the following subtraction:

(i) Take – (3/2)a + b – c from (1/2)a – (1/3)b – (3/2)c

(ii) Take 1 – x + x2 from x2 + x + 1

(iii) Take 3a + 2b – 6c from 8a – 4b – 2c

2. (i) What should be added to 3m to get 5m?

(ii) What should be added to -p to get 4p?

(iii) What should be added to x - y to get 2x + y?

3. From the sum of a + b – 2c and 2a – b + c, subtract a + b + c.

4. Subtract the sum of p + q and p – r from the sum of p – 2r and p + q + r.

5. The sum of two expressions is 5m2 – 3n2. If one of them is 3m2 + 4mn – n2, find the other.

6. From the sum of a - b + 11 and –b – 9, subtract 2a - 3b - 1.

7.What should be added to m3 + 3mn + 2n2 to obtain 5m2 + mn?

8. How much does 3m2 – 2m + 1 exceed 5m2 – a2 + 5a – 9?

9. How much is 8z2 – 3z + 4 less than z3 – 2z2 + 5z - 1?

10. By how much must 3x + 7z be diminished to give 5x – 7z?

11. Subtract z3 – z2 + z - 1 from z3 - 2z2 + 1 and add your result to z2 – 3z2 + z - 1.

Answers for the worksheet on adding and subtracting polynomials are given below to check the exact answers of the above word problems.

Answers:

1. (i) 2a – (4/3)b – (1/2)c

(ii) 2x

(iii) 5a – 6b + 4c

2. (i) 2m

(ii) 5p

(iii) x + 2y

3. 2a – b – 2c

4. 0

5. 2m2 – 4mn – 2n2

6. -a + b + 3

7. -m3 + 5m2 – 2mn – 2n2

8. -2m2 – 2m + 10 + a2 – 5a

9. z3 – 10z2 + 8z - 5

10. -2x + 14z

11. 1 – 3z3

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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

These adding and subtracting polynomial worksheets can be downloaded for free in PDF format.