This document provides a summary of key concepts covered in a lesson on setting up equations and inequalities to solve word problems. It includes examples of open sentences, equations, inequalities, and the difference between expressions and equations. The focus of the lesson is on using verbal models to write correct equations or inequalities to match word problems, rather than just obtaining the numerical answer. Two sample word problems are presented along with the verbal models and equations that could be written for each. An additional multi-step word problem is worked through as an example, showing the process of writing a verbal model, corresponding equation, and solving it in steps to find the final answers. Students are directed to practice similar problems independently or with a partner.

1. Review of Vocab:What is: an open sentence an equation an inequalityWhat is the difference between an expression and an equation ?

2. Day Two of Section 1.4Focus is on word problems and setting up an equation or inequality to match the situation The focus is not on just getting the answer

3. Tyler would like to make no less than $610 selling coffee mugs on-line. If he sells 28 mugs for $22 each, will he achieve his goal?Verbal ModelEquation or inequality?X = ????

4. A basketball player scored 351 points last year. If the player plays 18 games this year, will an average of 20 points per game be enough to beat last year’s total?Verbal Model# of games · points/game > points last yr.

5. EXAMPLE 4Solve a multi-step problemMountain BikingThe last time you and 3 friends went to a mountain bike park, you had a coupon for $10 off and paid $17 for 4 tickets. What is the regular price of 4 tickets?If you pay the regular price this time and share it equally, how much does each person pay?

6. RegularpriceAmountpaidAmountof coupon=EXAMPLE 4Solve a multi-step problemSOLUTIONSTEP 1Write a verbal model. Let pbe the regular price of 4 tickets. Write an equation.p – 10 = 17

7. ANSWERThe regular price for 4 tickets is $27.$27 4 peopleANSWEREach person pays $ 6.75.EXAMPLE 4Solve a multi-step problemSTEP 2Use mental math to solve the equationp – 10 =17.Think:10less than what number is17?Because27 – 10 = 17, the solution is 27.STEP 3= $6.75 per person.Find the cost per person:

8. Cont’ P. 25 (#39, 43, 45) (write equation or inequality to match problem – think verbal model)P. 27 (#2-5) make sure you have work to justify your answerMay work with a partner if you wish