Unit 3 Study Guide Adv Math 7

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1 Unit Study Guide Adv Math 7 1) 21 2) 8 4 ) ) Noah can make 2 1 stickers in 20 minutes. 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?.) Example Four: Which of the following pairs of ratios do not form a proportion? Which ones do? A) 2 10 B) 1 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. 7) 8) 9) Justice drew a rectangle that was 1 inches wide and 17 inches long. Then, she drew a smaller rectangle that was similar (proportional). This new rectangle had a length of 42. inches. What is the width of this new rectangle? 10) If the table below has a proportional relationship between the quantities, find the missing values in the table. Directions: Find the constant rate of change (slope). 11) ( 8, ) & ( 2, 1 ) 12) ( 1., - ) & (., 9 )

2 Directions: Determine if the graph demonstrates direct variation. If so, find the constant rate of change. 1) 14) Directions: Dilate each figure by the given scale factor. 1) Scale Factor: 1 2 1) Scale Factor: 2 A G A B C E T Directions: Assuming the figures are proportional, solve for x! 17) 18) x x

3 19) Ignacio is going on vacation. He needs to drive 79 miles in 8 hours. What is his average speed in miles per hour? 20) Tony and Tiffany collect semi-precious stones. At the Rockhound Hut, Tiffany paid $8 for 9 pounds of snowflake obsidian. At The Solid Rock Shop, Tony paid $19 for pounds of the same type of stone. Who made the better buy? 21) Marie rode her bike 2 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 children who attend. How many juice boxes will they need if they are expecting 1 children? 2) ABC Shoes and Lo-Price Shoes both sell QuickRunner shoes. ABC Shoes sells the shoes for $0.0, and Lo-Price Shoes sells them for $8.8. Today, ABC Shoes decides to offer a 0% 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 10% of 70. 2) 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?

4 28) 9 is what percent of 80? If necessary, round your answer to the nearest tenth. 29) What percent of 14 is 9? If necessary, round your answer to the nearest tenth. 0) 4 is 2% of what number? If necessary, round your answer to the nearest hundredth. 1) The scale is 2 cm = m. 10 meters would be equal to what on the scale drawing? 2) 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 1. What is the sale price of a ticket from Orlando to Atlanta for someone under the age of 1? ) 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. 4) Greg bought new sweatshirts at one store for a total of $. 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? ) 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 $28.2 and has to pay an 11% tax. Who paid less?

5 ) 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 %. 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. 7) 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. x = k = y = Equation: If you buy 8 pizza s, how much would they cost if you add a 1% tip to the cost of the pizza? 8) Complete the following table for y = 1 2 y = x. x y Graph the table of values. Is this an example of a direct variation? Why or why not? 9) Calculate the simple interest if you invest $240 at % 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?

100 = % = 25. a = p w. part of the whole. Finding a Part of a Number. What number is 24% of 50? So, 12 is 24% of 50. Reasonable?

100 = % = 25. a = p w. part of the whole. Finding a Part of a Number. What number is 24% of 50? So, 12 is 24% of 50. Reasonable? 12.1 Lesson Key Vocabulary percent A percent is a ratio whose denominator is 100. Here are two examples. 4 4% = 100 = 0.04 25% = 25 100 = 0.25 The Percent Equation Words To represent a is p percent of