(628)-272-0788 info@etutorworld.com

Combining Like Terms

Grade 6 Math Worksheets

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.

Combining in algebra that involves simplifying expressions by combining terms with the same variables and exponents. The process involves adding or subtracting coefficients while keeping the variables and exponents unchanged. Get more free 6th Grade Math Worksheets here or Get 6th Grade Math Help from our tutors.

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

    eTutorWorld Understands Math Tutoring | Online Math Worksheets are Important Tools

    Understanding graphs, charts, and opinion polls in a newspaper, for calculating house and car payments, and for choosing a long-distance telephone service are impossible without strong math skills …and the only way to develop strong math skills is by constant practice.

    ‘Practice makes a man perfect’ holds true for no other field better than for math. A middle or high school student must set aside a minimum of an hour for math every day. Other than textbooks, worksheets help you revise and understand concepts better.

    Our expert tutors prepare online maths worksheets that are age and grade-appropriate. Grade-wise math worksheets for Elementary Math, Arithmetic, Pre-Algebra, Algebra, Geometry, Trigonometry, Statistics, Pre-Calculus and Calculus can be solved to improve math skills, to get ahead or to even catch up.

    You may download these FREE online math worksheets in the PDF format, and then print and email us their solutions for a free evaluation and analysis by eTutorworld’smath expert tutors.

    You may solve these worksheets by yourself or with your peers while studying together.

    The Answer Key at the end of each worksheet allows for a self-evaluation.

    Personalized Online Tutoring

    eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, 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 CLASS.

    No credit card required, no obligation to purchase.
    Just book a free class to meet a tutor and get help on any topic you want!

    Pricing for Online Tutoring

    Tutoring PackageValidityGrade (1-12), College
    5 sessions1 Month$139
    1 session1 Month$28
    10 sessions3 months$269
    15 sessions3 months$399
    20 sessions4 months$499
    50 sessions6 months$1189
    100 sessions12 months$2249