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

• 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.

CMP2 Correlation
 Book Investigation Objective Variables & Patterns 1 7-EE4a 2 7-EE4a 3 7-EE4 7-EE4a Moving Straight Ahead 1-4 7-EE4 7-EE4a Common Core Inv. 3 7-EE4 7-EE4b

Resources

North 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 - 7EE4
• I can translate words into algebraic expressions.
• I can write and solve an equation to model a situation.
• I can use the arithmetic from a problem to generalize an algebraic solution.
• I can solve multi-step equations.

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.