Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. [7-EE4a]

Example: The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

b. Solve word problems leading to inequalities of the form px + q > r, or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem. [7-EE4b]

Example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

ACOS 2009 Correlation
Sixth Grade

2 - Solve problems involving decimals, percents, fractions, and proportions.

7 - Solve problems involving perimeter and area of parallelograms and rectangles.

Seventh Grade

5 - Write verbal phrases as algebraic expressions and algebraic expressions as verbal phrases.

5.1 - Identifying a variable as an unknown quantity.

6 - Solve one- and two-step equations.

6.1 - Solving inequalities with one variable.

6.2 - Graphing solution sets of inequalities on a number line.

6.3 - Recognizing properties of equality.

9 - Solve problems involving circumference and area of circles.

10 - Calculate the perimeter of polygons and the area of triangles and trapezoids.

11 - Solve problems involving ratios or rates, using proportional reasoning.

7.EE.1-4 - Expressions and Equations Short Tasks - http://www.map.mathshell.org/materials/tasks.php?taskid=399&subpage=novice - (Task) Students will look at several short tasks or warm-up type problems dealing with basic expressions and equations. These problems vary from expressions and equations using basic operation skills to those using evaluation and analysis.

My Humble Opinion
Inequalities are not new to the content, but they were not included in ARMT Item Specs. Increase in rigor of word problems.

## 7-EE4

## Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

a. Solve word problems leading to equations of the form

px + q = randp(x + q) = r, wherep, q,andrare specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. [7-EE4a]b. Solve word problems leading to inequalities of the form

px + q > r, orpx + q < r,wherep, q,andrare specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem. [7-EE4b]ACOS 2009 CorrelationSixth Grade

- 2 - Solve problems involving decimals, percents, fractions, and proportions.
- 7 - Solve problems involving perimeter and area of parallelograms and rectangles.

Seventh GradeCMP2 CorrelationBookInvestigationObjective7-EE4a

7-EE4a

7-EE4b

ResourcesNorth Carolina's Lessons for Learning

Number Tricks - 7EE3, 7EE1, 7EE4

- I can connect order of operations to the decomposition of a multi-step equation.
- I can solve multi-step equations.
- I can translate words into mathematical expressions.
- I can translate mathematical expressions into words.

Sweet Algebra - 7EE4From Harding Math Specialist

7.EE.1-4-Expressions and Equations Short Tasks- http://www.map.mathshell.org/materials/tasks.php?taskid=399&subpage=novice - (Task) Students will look at several short tasks or warm-up type problems dealing with basic expressions and equations. These problems vary from expressions and equations using basic operation skills to those using evaluation and analysis.My Humble Opinion

Inequalities are not new to the content, but they were not included in ARMT Item Specs. Increase in rigor of word problems.