Lesson Plan

Write an equation of the form px + q = r or p(x + q) = r to represent a real-world situation

Solve equations of the form px + q = r and p(x + q) = r using inverse operations

Write an inequality of the form px + q > r or px + q < r to represent a real-world situation

Solve inequalities and represent solutions on a number line, using an open or closed circle appropriately

Interpret the solution to an equation or inequality in the context of the problem

Recognize that multiplying or dividing an inequality by a negative number reverses the inequality symbol

7.EE.B.4

7.EE.B.4 -- 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.

7.EE.B.4a -- 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. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

7.EE.B.4b -- 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. For 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.