Florida B.E.S.T. MA.7.AR.1.2

Math7th GradeRewrite algebraic expressions in equivalent forms.

The Standard

Determine whether two linear expressions are equivalent.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students simplify each expression by distributing and combining like terms. They compare the simplified forms to decide whether the expressions match for every input. They justify the decision with algebra.

What Mastery Looks Like

A student simplifies each expression correctly, using distribution and combining like terms, then compares the results. The student supports the decision with clear algebra rather than one tested value.

Common Misconceptions

Students may distribute multiplication to the first term only, lose a negative sign, or combine unlike terms such as 3x + 4. Some assume expressions that look different cannot match. Others test one input and treat a matching result as proof.

How to Assess It

Exit ticket: Decide whether 4(2x - 3) + x and 9x - 12 always give the same value. Simplify both and justify your answer.

Lesson moves

Ways to Teach It

  1. Use algebra tiles to build 3(x + 2) and 3x + 6, then compare the two models.

  2. Ask students to write why checking x = 2 alone cannot prove two expressions match for every value.

  3. Give pairs of expression cards for a timed match game, with students simplifying each card before claiming a pair.

  4. Compare two phone plans written as expressions and decide whether their monthly costs can be identical for every data amount.

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Printable MA.7.AR.1.2 Worksheet

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