Mathematics Questions and Answers – Like and Unlike Terms, Addition and Subtraction of Algebraic Expressions

«
»

This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Like and Unlike Terms, Addition and Subtraction of Algebraic Expressions”.

1. Identify the like terms: 3ab – 4b2 – 6ab.
a) 3ab, -6ab
b) -4b2, 3ab
c) 3ab, 6ab
d) -4b2, 6ab
View Answer

Answer: a
Explanation: An algebraic expression is combination of terms with algebraic operations like addition, subtraction, multiplication. The terms having same literal factors are called like terms. Like terms are formed from same variables and the powers of the variables are similar. But, coefficients of the like terms can be different. Eg: 2x, 3x form a pair of like terms; 5ax, -ax form a pair of like terms.
advertisement

2. Identify the like terms: 4xy – 3y + 44y.
a) -3y, 44y
b) 4xy, 44y
c) 44y, -3y
d) 3y, 44y
View Answer

Answer: c
Explanation: An algebraic expression is combination of terms with algebraic operations like addition, subtraction, multiplication. The terms having same literal factors are called like terms. Like terms are formed from same variables and the powers of the variables are similar. But, coefficients of the like terms can be different. Eg: 2x, 3x form a pair of like terms; 5ax, -ax form a pair of like terms.

3. Identify all the unlike terms: 2a – 3b – 4c.
a) 2a, 4c
b) 2a, 3b, 4c
c) 2a, -3b, 4c
d) 2a, -3b, -4c
View Answer

Answer: d
Explanation: An algebraic expression is combination of terms with algebraic operations like addition, subtraction, multiplication. The terms which are not having same literal factors are called unlike terms. Unlike terms have different variables and the powers of the variables can be different. But, coefficients of the like terms can be different. Eg: 3x, 4yx form a pair of like terms; 5ax, -ax form a pair of like terms.
advertisement
advertisement

4. Identify the unlike terms: 3a2b + 4b2a – ba2.
a) 3a2b, 4b2a
b) 3a2b, -ba2
c) 3a2b, ba2
d) 4b2a, -ba2
View Answer

Answer: b
Explanation: An algebraic expression is combination of terms with algebraic operations like addition, subtraction, multiplication. The terms which are not having same literal factors are called unlike terms. Unlike terms have different variables and the powers of the variables can be different. But, coefficients of the like terms can be different. Eg: 3x, 4yx form a pair of like terms; 5ax, -ax form a pair of like terms.

5. What will be the result if the expressions 2x – 4x2y and 16y2x + 2x2y are added?
a) 2x – 4x2y + 18x2y
b) 2x – 2x2y + 16y2x
c) 2x – 2x2y – 16y2x
d) 2x + 4x2y + 18x2y
View Answer

Answer: b
Explanation: The terms of an algebraic expression having same literal factors are called like terms and those terms with different literal factors are called unlike terms. While addition or subtraction of polynomials, like terms are added/subtracted first and then unlike terms are handled. In the given expressions, -4x2y and 2x2y are like terms.
⇒ (2x – 4x2y) + (16y2x + 2x2y) = 2x – 4x2y + 2x2y + 16y2x (Collecting like terms)
⇒ (2x – 4x2y) + (16y2x + 2x2y) = 2x – 2 x2y + 16y2x (Adding like terms).
advertisement

6. Find the value the following expression: 1/6x + 2/5xy – 13y – 7/5xy + 1/6x.
a) 2/3x – 9/5xy – 13y
b) 2/3x + 1xy – 13y
c) 2/3x – 1xy – 13y
d) -1xy – 13y
View Answer

Answer: c
Explanation: 1/6x + 2/5xy – 13y – 7/5xy + 1/6x = 1/6x + 1/6x + 2/5xy – 7/5xy – 13y (Collecting like terms)
= 2/3x – 1xy – 13y (Adding like terms).

7. Subtract the following expression: 22ab – 30a2b + 2b from 50a2b – 6b2a – 5b.
a) 22ab – 80a2b – 6b2 – 7b
b) 80a2b – 6b2 + 7b – 22ab
c) 80a2b – 6b2 – 7b – 22ab
d) 80a2b + 6b2 – 7b
View Answer

Answer: c
Explanation: (50a2b – 6b2a – 5b) – (22ab – 30a2b + 2b) = 50a2b – 6b2a – 5b – 22ab + 30a2b + 2b
= 50a2b + 30a2b – 6b2 – 5b – 2b (Collecting like terms)
= 80a2b – 6b2 – 7b22ab (Adding/subtracting like terms).
advertisement

Sanfoundry Global Education & Learning Series – Mathematics – Class 8.

To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

advertisement

Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

advertisement
advertisement
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter