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

Lesson 6.156.15 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

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Learning target With my small group, I can simplify algebraic expressions by combining like terms — one step at a time, with support.

Remember6.15 Small Group · Group 1

Like terms have the same variable, so add their coefficients and keep the variable the same. To simplify an expression, combine like terms. Like terms have the same variable.

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

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

    Simplify 2y + 7y. How many y's do you have?

    Show your work

    Hint Both terms have y, so add the coefficients: 2 + 7.

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

    Simplify 2a + 9 + 6a + 1. What is the constant in your answer?

    Show your work

    Hint The constants are the numbers with no variable. Add them.

    Final answer:
  3. 3Complete 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

    Hint Add only the c terms.

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

    Simplify 10k + 3 − 4k + 6. What is the coefficient of k in your answer?

    Show your work

    Hint The minus sign belongs to 4k. Subtract that coefficient.

    Final answer:

Explain your thinkingZoe added the 4 to the x terms. Why can 4 not combine with 3x or 5x?

Sentence starter 4 is a ___, so it ___. · 3x and 5x are like terms because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help