6.AT.7 Lesson 6-15-part2 Apply Day · Set B
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6.15 · Part II

Second Practice Form · Independent Application and Spiral Review

Simplify Algebraic Expressions · Like Terms

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■ ADVANCED CONCEPT ANCHOR: 6.15 · Part II
1Combining Like Terms
2The Structural Procedure
  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
3Mathematical Word Bank
  • Simplify Algebraic Expressions (Simplificar expresiones algebraicas) — Rewrite an expression in a shorter equivalent form by combining like terms and using properties.
  • Like Terms (Términos semejantes) — Terms with the same letter raised to the same power, like 2x and 5x.
  • Combine (Combinar) — To add or subtract terms with the same letter into one.
  • Simplify (Simplificar) — To rewrite an expression in a shorter form that is still equal to the original.
  • Coefficient (Coeficiente) — The number in front of a letter, like the 3 in 3x.
  • Term (Término) — A single number, variable, or product of them, separated by + or − signs.
4Watch out
  • 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.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 6.5) Which expression represents 'the product of 6 and a number n'?

    1. A6n
    2. B6 + n
    3. Cn − 6
    4. Dn ÷ 6
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 6.5) Which expression represents '9 less than a number y'?

    1. Ay − 9
    2. B9 − y
    3. Cy + 9
    4. D9y
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    Simplify the mix: 6m + 4 + 3m.

    1. A9m + 4
    2. B13m
    3. C9m + 4m
    4. D10m
    ✏️ Workspace & Solution Steps
  2. 4 MULTIPLE CHOICE

    Simplify 7x + 3x.

    1. A10x
    2. B10x²
    3. C21x
    4. D73x
    ✏️ Workspace & Solution Steps
  3. 5 MULTIPLE CHOICE

    Simplify 9n + 4 + 2n.

    1. A11n + 4
    2. B15n
    3. C11n² + 4
    4. D92n + 4
    ✏️ Workspace & Solution Steps
  4. 6 MULTIPLE CHOICE

    Which pair are like terms?

    1. A6x and 2x
    2. B6x and 6y
    3. C6x and 6
    4. D6x and 2x²
    ✏️ Workspace & Solution Steps
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    Three students simplified 4x + 3 + 2x + 5 + x differently. Student A got 7x + 8. Student B got 7x² + 8. Student C got 6x + 9. Who is correct? Explain the mistakes the other two students made.

    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It