Florida B.E.S.T. MA.8.AR.2

MA.8.AR.2 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.8.AR.2.1

  Solve multi-step linear equations in one variable, with rational number coefficients. Include equations with variables on both sides.

• MA.8.AR.2.2

  Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically.

• MA.8.AR.2.3

  Given an equation in the form of x²=p and x³=q, where p is a whole number and q is an integer, determine the real solutions.

01

What Students Need to Do

Students simplify expressions, combine like terms, and use inverse operations to isolate one variable. They also reverse the inequality symbol when multiplying or dividing by a negative number.

02

What Mastery Looks Like

Students combine like terms, use inverse operations on both sides, and show steps in a logical order. They check equation solutions by substitution and graph inequality solutions correctly.

03

Common Misconceptions

Students may distribute to only one term or lose a negative sign. They may change an inequality symbol after adding a negative, rather than only after multiplying or dividing by a negative. Some perform an operation on only one side.

04

How to Assess It

Give this exit ticket: Solve 3(2x - 5) + 4 = 2x + 9 and -2(3x - 1) + 5 > 15, then graph the inequality solution.

1. 01

   Use algebra tiles to model 2(x + 3) - 4 = x + 7, removing equal amounts from both sides until x remains.

2. 02

   Ask students to explain in writing why dividing both sides by a negative number reverses an inequality symbol.

3. 03

   Give pairs error-analysis cards showing incorrect solutions, and award a point for identifying and correcting each first wrong step.

4. 04

   Compare two phone plans, then have students write and solve an equation for equal cost and an inequality for the cheaper plan.

• MA.7.AR.2.1

  Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.

• MA.7.AR.2

  Write and solve equations and inequalities in one variable.

• MA.6.AR.2

  Develop an understanding for solving equations and inequalities. Write and solve one-step equations in one variable.