Select Page

  Combining Like Terms

Home >> Online Math Tutoring >> 6th Grade Math Tutoring >> Combining Like Terms

Terms that have the same variables raised to the same power are called “like terms”, where the numerical coefficients are different. Like terms are combined with each other to simplify the algebraic expressions.

For example: 7x, 10x, and -2x are like terms.

3x2y, -5x2y and 13x2y are like terms.

Now we can combine like terms by adding or subtracting them.

For example: -15a + 7a + 6b – 3a + 8a – 20b

Combining like terms we get,

(-15 + 7 – 3 + 8)a + (6 – 20)b

8a – 14b

Some facts about like terms:

  • 2 × a is the same as 2a and is easier to write it as “2a” when we simplify an expression.
  • 1 × b is the same as b.

 

Check Point:

Simplify the given expressions:

  1. 21 + 24r – 71 – 9r
  2. 13x + 5y – 8x – 12y + 20
  3. 5a – 15b + 20a + 18b + 3
  4. -2xy2 + 5xy + 7xy2 – 15xy + 20
  5. 20a2b + 30a – 7b – 10a2b – 12a – 3b
Answer key
  1. 15r – 50
  2. 5x – 7y + 20
  3. 25a + 3b + 3
  4. 5xy2 – 10xy + 20
  5. 10a2b + 18a – 10b
Download/Solve a Worksheet for  Combining Like Terms 

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. Come to eTutorWorld for Expert Tutors and best K-12 Online Tutoring Services in the comfort and safety of your home at an affordable cost. Find a tutor online for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. Get free printable math and science worksheets in pdf format and SCAT Practice Tests. Sign up for a Free Trial Lesson Today!

© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved