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

Lesson 6.156.15 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

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

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Like TermsSpanish: Términos semejantes Terms with the same variable raised to the same exponent, like 2x and 5x. 5x and 3x are like terms (both x); 5x and 5y are NOT (different variables); 2x and 2x² are NOT (different powers)
CombineSpanish: Combinar To add or subtract terms with the same variable and exponent into one. 8m + 3m = 11m — add the coefficients (8 + 3 = 11) and keep the variable (m)
SimplifySpanish: Simplificar To rewrite an expression in a shorter form that is still equal to the original. 2a + 5a + 3 simplifies to 7a + 3 — the two a-terms combine, the constant stays
CoefficientSpanish: Coeficiente The number in front of a letter, like the 3 in 3x. In 9x, the coefficient is 9 — it tells you 'nine groups of x'; if x = 2, then 9x = 18
TermSpanish: Término A single number, variable, or product of them, separated by + or − signs. In 3x + 5 − 2x, the terms are 3x, 5, and 2x.
Distributive propertySpanish: Propiedad distributiva Multiplying a number by everything inside the parentheses: a(b + c) = ab + ac. 3(x + 4) = 3·x + 3·4 = 3x + 12.

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank Like TermsCombineSimplifyCoefficientTermDistributive property

Watch outA common mistake

A common mistake in Simplify Algebraic Expressions is sweeping a constant into the variable terms — for example, simplifying 6x + 4 + 2x as 12x by adding all three numbers (6 + 4 + 2 = 12) instead of recognizing that 4 has no variable and cannot combine with 6x and 2x. The correct simplified expression is 8x + 4 (combine 6x + 2x = 8x, and let the 4 stay on its own). Before you submit, check that every term you combined has the exact same variable part.

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

Lesson 6.156.15 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

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

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

    Simplify 3k + 5k. How many k's do you have?

    Show your work

    Hint Both terms have k, so add the coefficients: 3 + 5.

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

    Simplify 2w + 6 + 4w + 1. What is the coefficient of w?

    Show your work

    Hint Add only the w terms: 2w + 4w.

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

    Simplify 5t + 3 + 2t. How many t's do you have?

    Show your work

    Hint Add only the t terms: 5t + 2t. The 3 stays by itself.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.7

Lesson 6.156.15 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

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

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

    Zoe says 3x + 4 + 5x = 12x. Is she right? Simplify 3x + 4 + 5x. What is the coefficient of x?

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

    Simplify 8r − 3r + 2r. What is the coefficient of r in your answer?

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

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

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.7

Lesson 6.156.15 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

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

  1. 1Circle the letter of the best answer. Show how you know.

    Simplify the expression 8x + 3 + 2x − 1.

    1. A6x + 2
    2. B10x + 2
    3. C10x + 4
    4. D12x
    Show your work
  2. 2Complete each step, then write the final answer.

    Kim simplifies 9p − 4 + 2p and gets 7p − 4. What is the correct coefficient of p?

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

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

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help