Touchstone Standards

Georgia Grade 6 math, Patterning & Algebraic Reasoning

6.PAR.6.5 worksheets: write equivalent expressions

The standard

Apply the properties of operations to identify and generate equivalent expressions.

Element 6.PAR.6.5 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Patterning & Algebraic Reasoning strand. It sits under standard 6.PAR.6: Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.

What students practice

Students combine like terms, multiply each term inside parentheses, write the area of a rectangle model as a product and as a sum, factor out the GCF, and test two expressions with numbers to decide whether they are equivalent. They never have to name the property they use.

Where to find it

  • p. 9Combine Like Terms. Combine like terms to write an equivalent expression.
  • p. 10Multiply Each Term. Multiply each term inside the parentheses to write an equivalent expression.
  • p. 11Area Models. Use each area model to write the area as a product and as a sum.
  • p. 12Factor Out the GCF. Use the GCF to write each expression as a product, then answer the last question.
  • p. 13Equivalent or Not. Find the value of each expression for both values, then decide.
  • p. 14Mixed Review. Solve each problem, then check your work.

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