Georgia 7.PAR.3

7.PAR.3 is a Georgia mathematics standard. These are the expectations under it.

• 7.PAR.3.1

  Construct algebraic equations to solve practical problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational ...

• 7.PAR.3.2

  Construct algebraic inequalities to solve problems, leading to inequalities of the form px ± q > r, px ± q < r, px ± q ≤ r, or px ± q ≥ r, where p, q, and r are...

01

What Students Need to Do

Students translate real situations into equations or inequalities with a variable. They solve with inverse operations, justify each step, and interpret the solution in the original situation.

02

What Mastery Looks Like

Students write a variable statement that matches the quantities and limits in a situation. They solve accurately, show equivalent steps, check the result, and explain what the solution means. For inequalities, they graph the solution on a number line.

03

Common Misconceptions

Students may choose the wrong operation when translating phrases such as “at least” or “no more than.” They may forget to reverse the inequality sign after multiplying or dividing by a negative number. Some stop after solving and do not check whether the answer makes sense in context.

04

How to Assess It

A club has $36 and earns $7 per ticket. Write and solve an equation for reaching exactly $120 and an inequality for earning at least $120, then explain both answers.

1. 01

   Give pairs a balance scale and algebra tiles to model 3x + 5 = 20, then record each move as an equivalent equation.

2. 02

   Ask, “How are ‘at least $50’ and ‘exactly $50’ represented differently, and how does that change the possible answers?”

3. 03

   Run a card sort matching six situations to equations or inequalities, solved forms, and number-line graphs; teams explain one match.

4. 04

   Have students use a $90 snack budget, a $12 delivery fee, and $6 pizzas to write and solve a maximum-purchase inequality.

• 6.PAR.7

  Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.

• 8.PAR.3

  Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and ...

• 6.PAR.7.2

  Write one-step equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified ...

• 8.PAR.3.4

  Using algebraic properties and the properties of real numbers, justify the steps of a one-solution equation or inequality.