Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.7

Lesson 6.156.15 · Part II

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can simplify algebraic expressions by combining like terms.

Remember6.15 · Part II

Combining Like Terms

  1. Like Terms: Terms that share the exact same variable part and exponent (e.g. 4x and 2x)
  2. Add or subtract the coefficients of like terms; keep the variable unchanged
  3. Constants (numbers without variables) combine together separately

Words: Like Terms (Términos semejantes)Combine (Combinar)Simplify (Simplificar)Coefficient (Coeficiente)Term (Término)

  1. 1Complete each step, then write the final answer.

    Simplify 6n + 3n. How many n's do you have?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Simplify 5x + 4 + 2x + 6. What is the coefficient of x in your answer?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Simplify 5h + 7 − 2h − 7. What is the constant in your answer?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    A store sells caps (c) and bags (b). It sells 4c + 2b on Monday and 5c + 3b on Tuesday. Simplify 4c + 2b + 5c + 3b. How many caps did it sell?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    A triangle has sides x + 4, 2x and 3x − 1. Its perimeter is x + 4 + 2x + 3x − 1. Simplify it. What is the coefficient of x?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    Simplify 7a − 2b + 5 − 3a + 6b − a − 8. What is the constant in your answer?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Simplify 7x + 3x.

    1. A10x
    2. B10x²
    3. C21x
    4. D73x
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Simplify 9n + 4 + 2n.

    1. A11n + 4
    2. B11n² + 4
    3. C15n
    4. D92n + 4
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which pair are like terms?

    1. A6x and 2x
    2. B6x and 6y
    3. C6x and 6
    4. D6x and 2x²
    Show your work
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