3-8 HW: Pg # 11-29o, 32-35, 39-42, 50-58e

Pg Quiz 3 # Turn in to be GRADED!

Warm-Up: 4 minutes to work!4 minutes to work! 1.) You have recorded your car mileage and gasoline use for 5 weeks. Estimate the number of miles you can drive on a full 12-gallon tank of gasoline. 2.) You are visiting Canada and you want to exchange $150 for Canadian dollars. The rate of currency exchange is 1.4 Canadian dollars per United States dollar. How many Canadian dollars will you receive after the exchange? 3.) When you leave Canada to find that you have 15 Canadian dollars left. How many United States dollars would you get back if the rate of currency exchange is now 1.3 Canadian dollars per U.S. dollar? 4.) About 74% of water used in houses is used in bathrooms, about 5% in kitchens, and about 21% in other places. About 9 gallons are used in the kitchen each day. Estimate the total gallons used each day. Number of Miles Number of Gallons

Find your partner Complete the sticky note problem attached to your worksheet and find the person who got the same answer as you. That person is your partner for the next activity!

Partner Problem – 10 min. to work! 10 min. to work!10 min. to work! Ron the realtor is offered a job directly out of real-estate school. He has a choice as to which way he will receive his salary the first year. Salary Plan 1: Base pay of $2000 per month plus a 3% commission on each sale. Salary Plan 2: No base pay but a 6% commission on each sale. a.) If Ron averages $45,000 in sales per month, how much would he earn under the FIRST plan? How much under the SECOND plan? Which is the better choice in this case? EXPLAIN! b.) Write a verbal model for Salary Plan 1 that relates base pay, total pay, sales in a month, and percent commission. c.) Write a verbal model for Salary Plan 2 relating sales in a month, percent commission, and total pay. d.) Write an equation to determine when it would be better to switch from the first plan to the second plan. Give a one- or two-sentence answer that includes Ron’s sales in a month. Round to the nearest dollar, if necessary. e.) Ron makes a goal to earn $8000 every month. State which choice he should select and EXPLAIN your reasoning. Use the verbal model from (b) or (c) to set up an equation and determine what his sales should be to achieve his goal.

Daily HW Quiz/Partner Problem Answers

Concept Review Solving equations using one operation - Use OPPOSITE OPERATIONS to isolate the variable Solving multi-step equations - Use OPPOSITE OPERATIONS to isolate the variable in more than 1 step Solving equations with variables on both sides - Move your variable to one side and the numbers to to the other side using OPPOSITE OPERATIONS - Either get 1 answer, a FALSE statement or NO SOLUTION, or a TRUE statement or ALL REAL #S

Concept Review Continued Linear equations and problem solving - Draw a picture, label a diagram then write an equation to solve the word problem - Answer each word problem in a SENTENCE! Formulas and Functions - Isolate the variable you want to solve for - “Solve for --- in terms of ---” means to solve for the variable listed first Rates, ratios, and percents - Find a unit rate – DIVIDE - Ratios are fractions that need to be simplified - Percent = out of 100, move the decimal point TWO places to the left

Practice Solve the equation if possible and SHOW WORK on BOTH sides of the equation. Do 3 problems: 1 from #1-3, 1 from #4-6, and 1 from #7+8

For # 9 – 10, write and solve an equation to answer each word problem. 9.) Currently, you have $60 and your sister has $135. You decide to SAVE $5 of your allowance each week, while your sister decides to SPEND her whole allowance plus $10 per week. How long will it be before you have as much money as your sister?

For # 11 – 14, solve for the indicated variable. Do 2 problems: 1 from #11 or 12, 1 from #13 or 14.

For # 15 – 14, write and solve an equation to answer the question. 15.) You stuffed 108 envelopes in 45 minutes for your aunt’s wedding. At this rate, how many envelopes can you stuff in 2 hours? 16.) While visiting Italy you want to exchange $120 for liras. The rate of currency exchange is 1850 liras per United States dollar. How many liras will you receive? 17.) You received a $9 tip from customers who had a bill of $56. What percent tip did you receive?

Summary EXPLAIN how to solve equations using one operation –Ans: UNDO the operation using OPPOSITE operations EXPLAIN how to solve multi-step equations –Ans: UNDO the operation using OPPOSITE operations in two or more steps EXPLAIN how to solve equations with variables on both sides –Ans: get your variable on one side and the #s on the other using OPPOSITE operations EXPLAIN how to solve linear equations in word problems –Ans: draw a picture or label a diagram, write an equation, then solve the equation, answering the problem in a SENTENCE EXPLAIN how to solve formulas for a different variable –Ans: isolate the variable you are looking for by using OPPOSITE operations EXPLAIN how to solve problems “y as a function of x” –Ans: solve for Y using OPPOSITE operations on BOTH sides of the equation EXPLAIN how to find unit rates and ratios –Ans: Divide so 1 is in the denominator EXPLAIN how to solve problems involving percents –Ans: Set up the equation: % as a decimal = part DIVIDED by whole

Check Yourself Pg # 2-34e