Select Page

# Combining Like Terms

### Schedule a Free session to clear worksheet doubts

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

### Schedule a Free session to clear worksheet doubts

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

## 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
1. 15r – 50
2. 5x – 7y + 20
3. 25a + 3b + 3
4. 5xy2 – 10xy + 20
5. 10a2b + 18a – 10b

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

## Pricing for Personalized Online Tutoring

New Student Special (5 sessions) 1 Month \$89 \$99
1 session 1 Month \$22 \$24
5 sessions 3 months \$104 \$114
10 sessions 3 months \$199 \$219
15 sessions 3 months \$289 \$319
20 sessions 4 months \$379 \$409
50 sessions 6 months \$899 \$949
Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Connect with us
+1-269-763-4602
+1-269-763-5024

Online test prep and practice
SCAT
CogAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam

Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring

English Tutoring
Writing
Grammar
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}