Unit 3 Study Guide Math 7

Transcription

1 Unit 3 Study Guide Math 7 1) ) 8 4 3) ) Noah can make 2 1 stickers in 20 minutes. 3 How many stickers can she make each hour? ) In 2.2 minutes, Dr. Hill can type pages. What is her average speed in pages per minutes? 6) The average 7 th grade student can complete this study guide in 0 minutes. How many minutes should it take for each problem? 7) Example Four: Which of the following pairs of ratios do not form a proportion? Which ones do? A) 2 10 B) 16 2 C) D) Directions: Determine whether the two quantities represented are proportional or nonproportional. Hint: You will have to check each ratio (by simplifying) to make sure they are the same. 8) 9) 10) Justice drew a rectangle that was 1 inches wide and 17 inches long. Then, she drew a larger rectangle that was similar (proportional). This new rectangle had a length of 42. inches. What is the width of this new rectangle? 11) Bugs Bunny buys a bushel of carrots for $42.6. He gives the farmer a 6% tip for delivery. How much was the tip? How much was the total cost?

2 12) If the table below has a proportional relationship between the quantities, find the missing values in the table. Directions: Determine if the graph demonstrates direct variation. If so, state the equation of the line. 13) 14) 1) For dinner, you buy a Subway club for $6.49, a bag of chips for $1.2, and a soda for $1.2. Assuming the tax rate is 7%. How much money will you need in order to pay for this meal? 16) You mom gives you $ to buy a dress for the prom. You find a dress that costs $ plus a 9% sales tax. Do you have enough money to pay for the dress? Explain your answer. 17) 2% percent of the class will complete the study guide according to Mr. Gabel s three requirements. Assuming, that Mr. Gabel teachers 160 students, how many followed his directions? 18) Carleigh thinks that 30% of 700 is 210. Determine if Carleigh is correct? Justify your answer. 19) Ignacio is going on vacation. He needs to drive 79 miles in 8 hours. What is his average speed in miles per hour?

3 20) Tony and Tiffany collect semi-precious stones. At the Rockhound Hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At The Solid Rock Shop, Tony paid $19 for 3 pounds of the same type of stone. Who made the better buy? 21) Marie rode her bike 32 kilometers in 20 hours last month. Tamara rode her bike 2 kilometers in 1 hours last month. Are these speed rates proportional? Explain. 22) The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend. How many juice boxes will they need if they are expecting 1 children? 23) ABC Shoes and Lo-Price Shoes both sell QuickRunner shoes. ABC Shoes sells the shoes for $60.0, and Lo-Price Shoes sells them for $38.8. Today, ABC Shoes decides to offer a 30% discount. Which store offers the better deal? 24) Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $ Kammie Cycles sells the same bicycle for $ Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which store offers the better deal? 2) Find 130% of ) Find 70% of ) A jar is filled with buttons of various colors. If the jar has a total of 420 buttons and 8% of the buttons are green, how many green buttons are in the jar? 28) 39 is what percent of 80? If necessary, round your answer to the nearest tenth. 29) What percent of 146 is 39? If necessary, round your answer to the nearest tenth.

4 30) 4 is 26% of what number? If necessary, round your answer to the nearest hundredth. 31) The scale is 2 cm = 3m. 10 meters would be equal to what on the scale drawing? 32) The price of a train ticket from Orlando to Atlanta is normally $ However, the train company is offering a special 7% discount to children under the age of 16. What is the sale price of a ticket from Orlando to Atlanta for someone under the age of 16? 33) While training for the Tour de France, Jean-Luc rode 72 km on his bike in just 4 hours. Find the unit rate. Show your work. 34) Greg bought new sweatshirts at one store for a total of $63. His younger brother Zachary bought 4 sweatshirts at a different store and paid $4. a. Explain the meaning of unit rate, and give the unit rate for each boy. b. Which is the better buy? 3) Fred bought a $40.00 shirt on a tax free holiday and has a coupon to get 20% off his purchase. Ben bought the same shirt at an outlet store for $28.32 and has to pay an 11% tax. Who paid less? 36) Just Write Book Store sells the book 10 Simple Ways to Better Math Scores for $ Just Write also offers its preferred customers a 2% discount on any purchase. Bookends Book Store sells the same book for $21.00 but is offering a discount of 6%. a. What is the price of the book at Just Write Book Store if you are a preferred customer? Show your work. b. Which store, after the discounts are applied, is offering the better price on the book? Explain.

5 37) A Papa John s pizza costs $12 for each pizza. Write an equation in the form y = kx and identify what x, k, and y represent in words in the equation. k = Equation: If you buy 8 pizza s, how much would they cost if you add a 1% tip to the cost of the pizza? 38) Complete the following table for y = 1 2 x. x y Graph the table of values. Is this an example of a direct variation? Why or why not? 39) Calculate the simple interest if you invest $2640 at 3% for years. 40) If the scale factor of the model car is 1in : 48 in, and the model car is 2 inches long, how long will the real car be?