Jeopardy Order of Operations Writing Equations Inequalities Problem

Jeopardy Order of Operations Writing Equations & Inequalities Problem Solving 2 Functions 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500

100 6 9 – 33 ÷ 11

200 3 (4 + 2 6) ÷ 0. 5

300 5[(4 + 9) – 2 3] ÷ 2

400 3 [ 7(14 – 3 2) + 5] – 18

500 1. 75 + 2[17 – (5 – 2 3) ]

100 At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4 -hour rental, and shop B charges $228 for a 6 hour rental. Which shop charges more per hour? How much more expensive is this shop?

200 You are setting up a children’s painting class. Poster board paints cost $3. 80 for each child, and a package of 100 sheets of poster board costs $66. 50. Assuming that you only need one package of poster board, write an algebraic expression for the total cost of supplies. Find the total cost if 18 students sign up for the class.

300 You are saving money to buy a $200 video game system. You earn $20 a week for doing chores around the house. You get $35 from a relative on your birthday. How many whole weeks will it take for you to have enough money to buy the system? You are charged 7% sales tax for the system. Will it take any longer to buy the system? Explain your reasoning.

400 You and your friend collect football cards. You tell your friend, “I have three times the number of football cards as you have. ” Your friend replies “You only have 80 more football cards than I have. ” How many football cards do each of you have?

500 You are creating a collage using two different textured papers. One paper costs $. 15 per sheet and the other costs $. 08 per sheet. You need a total of 12 sheets of paper without spending over $1. 50. Let t be the number of sheets of the less expensive paper. a. Write an inequality that describes the situation. Your inequality should involve only one variable, t. b. Give two different ways you can buy the paper.

100 Your stamp collection consists of 145 stamps. Each stamp has either a cancellation mark or no cancellation mark. There are 93 more stamps with cancellation marks than stamps without cancellation marks. Let x be the number of stamps with cancellation marks. Which equation correctly models this situation? a. x + 93 = 145 b. x + (x + 93) = 145 c. x + (x - 93) = 145

200 Write an equation that you can use to solve the problem. You do not need to solve the problem. You are putting tile on part of the walls in your kitchen. You are using a combination of plain and decorative tiles. You need to use a total of 500 tiles and you want to use three times as many plain tiles as decorative tiles. How many of each kind of tile will you need?

300 Write an equation that you can use to solve the problem. You do not need to solve the problem. Your soccer team has raised $400 for cleats and shin guards. It will cost $41. 50 for each of the 15 players to have a pair of cleats and shin guards. How much more money will each player have to pay to cover the cost?

400 You are responsible for buying the frozen lasagna for an upcoming birthday party. Each package of lasagna costs $7. 99 and serves 8. You need to buy enough packages so that each person can have two servings. There will be 17 people at the picnic. How many packages do you need? What is the total cost for the lasagna?

500 You and your friend are painting a 150 -foot long fence. You start at opposite ends at the same time and paint towards each other. You paint the fence at a rate of 1. 75 feet per minute and your friend paints at a rate of 1. 25 feet per minute. a. How long will it take you to complete the fence? b. How far from your beginning point will each of you be?

100 You installed a bookshelf on the wall to organize some of your books. The books that you absolutely want on the shelf weigh a total 6 ¾ pounds. The bookshelf can handle no more than 9 pounds. You plan on filling the rest of the shelf with your paperbacks that each weigh about ⅛ pound. Assuming you won’t run out of room, how many paperback books can you add to the shelf?

200 You are responsible for buying supplies for an upcoming camping trip. You can buy packages of stew that just need water added and then are heated. Each package costs $4. 95 and contains enough stew for 2 people. You need to buy enough packages so that you can have stew for 3 days of the trip. There will be 8 people on the trip. How many packages do you need? What is the total cost?

300 You plan to put up wallpaper border in your bedroom that has a width of 8 feet. The area of your bedroom is 96 square feet. Is 36 feet of wallpaper border enough to wallpaper the bedroom? Explain.

400 The table shows the number of grams of protein and the number of calories from protein in four different foods. Number of grams of protein, p Number of calories from protein, C 6 24 8 32 12 48 15 60 a. Use the table to write a rule for the foods’ number of calories from protein as a function of their number of grams of protein. b. Another food has 17 grams of protein. Predict the number of calories from protein.

500 A photographer charges $9. 95 for a photo session plus $22 for each pose. a. Write an equation for the total cost C (in dollars) of a photo session with p poses. b. The photographer offers 8 poses. Write an input-output table for the total cost (in dollars) of a photo session as a function of the number of p poses. Explain why the table represents a function and describe the domain and range of the function. c. You have $80 to spend at a photo session. What is the greatest number of poses you can afford?

100 A delicatessen worker has created 8 large sandwich rings in the first 2 hours of her shift. She plans on making sandwich rings at the same rate for the rest of her shift. Write a rule for the total number of sandwich rings made as a function of the number of hours left in the deli worker’s shift. How many sandwich rings will the deli worker make if she has 6 hours left in her shift?

200 The table shows men’s shoe sizes in the United States and Europe. Write a rule for the European size as a function of the United States’ size. Then use your function to predict the European size of a U. S. size 11 shoe. U. S. size 3. 5 European size 35 4 4. 5 35. 5 36 5 5. 5 36. 5 37 6 37. 5

300 A car owner records the value of a car every year since its purchase. The graph shows the value v (in dollars) of the car as a function of t, the number of years since its purchase. What happens to the value of the car as t increases? Is $4240 a reasonable estimate for the value of the car 6 year After its purchase? Explain.

400 Consider the table for a function. Input, x 22 21 n 1 2 Output, y 3 4 4 6 5 For what value of n would this table represent x as a function of y? 3 10

500 The function y = x 2 + 1 has the following table associated with it. Input, x – 2 – 1 0 1 2 3 Output, y 5 2 1 2 5 10 Suppose the function is reversed, making y the input and x the output. You would have to remove some of the values of y from the table in order to have x be a function of y. What would be the minimum number of y-values you would have to remove from the table in order to have x be a function of y? What y-values would you have to remove from the table?