NAME DATE PERIOD SCORE Countdown: 12 Weeks 1. Margarito is drawing diagrams of a work system and wishes to show some of his calculations in a presentation to his colleagues. However, he has room only to show his numbers to the thousandths place. 7.NS.2, 7.NS.2d Part A: Sort the calculations into the appropriate bins by those that he had to round and those that he did not. 2.3587 _3 8 Rounded 4π 10 _ 9 _9 10 Not Rounded 15 _ 4 √ 20 Think Smart for SBAC On the actual test, you might be asked to drag the numbers to a bin. In this book, you will be asked to write each number in the space provided. Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Part B: After looking at his completed presentation, Margarito decides to use a bar over any repeating decimals instead of rounding them. Explain which calculations he still had to round. 2. _1 Ling’s savings account increases by 4 % every month from interest. He deposits x dollars into his account. Select all of the expressions that represent the amount of money in his account after the interest is paid for the third month. 7.EE.2 x(1.25)(1.25)(1.25) 3(1.0025)(x) (1.0025)3x x(1.0025)(1.0025)(1.0025) x(1 + 0.25)(1 + 0.25)(1 + 0.25) x(0.0025)(0.0025)(0.0025) (1.25)3x (1 + 0.0025)(x)(1 + 0.0025)(1 + 0.0025) 3(1.25)(x) Course 2 • Countdown • 12 Weeks 29 3. An elevator has a maximum capacity of 950 pounds, and there must be an attendant working in the elevator at all times. A customer asks for the range of the number of people that the elevator can hold, not including the attendant. Assume that the average person weighs 155 pounds. Answer the customer’s question. Include in your answer the equation or inequality that you used to find the solution. 7.EE.4, 7.EE.4b 4. A company surveys its customers at several locations to see how well the employees are performing. The table shows the ratings. The manager at one location promises her employees a party if they end up with a positive score. Select the scenarios that would not result in the store getting a party. 7.EE.3 13 Ds and 14 As Response Rating Letter +1 A +0.5 B Average 0 C Below average –1 D Poor –2 F Excellent Above average 1 D, 10 Cs, and 3 Bs 4 As, 8 Bs, 1 C, 4 Ds, and 2 Fs 4 Fs and 9 Bs 5. Day Monday Course 2 • Countdown • 12 Weeks 60 lb in 5 h Tuesday y = 8x Wednesday Thursday Friday 30 Pounds Ratio of Pounds Caught Caught, y, Hours to in a Given Time per Hour, x Pounds 3:27 50 lb in 270 min 3y = 40x Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. A fisherman examines how many pounds of fish he caught one week at a local lake. The table shows the amounts. He decides that if he isn’t catching over 10 pounds of fish per hour on at least half of the days, he is going to move to a different lake. Explain whether the fisherman changed lakes. 7.RP.2, 7.RP.2b NAME DATE PERIOD SCORE Countdown: 11 Weeks 1. Crystal is planning a birthday party. It will cost A dollars per person p. There is a charge B for the room. The tax is 9%, and the tip for the party hostess is 10% of the total bill, including tax. Sort the expressions into the appropriate bins by whether they represent the total bill or not. 7.EE.2 (Ap + B)(0.09)(0.10) (Ap + B)(1.09)(1.1) (Ap + B)(1.09) (A + Bp)(1.09)(1.1) Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Represents Total Bill Ap(1.09)(1.1) + B(1.09)(1.1) (A + B)(0.09)(0.1) Does Not Represent Total Bill 2. Light travels at roughly 3 x 108 meters per second. Sound travels at roughly 34,000 centimeters per second. About how many times faster does light travel than sound? Write your answer in scientific notation, rounded to the nearest hundredth. 7.NS.3 3. A new club opens with 20 members, plus an unknown number of members x from another club. The club allows only members to join once a year. After the first year, the number of total members doubles. The following year, half of the members that joined from the other club leave, but another 40 people join. After the third year, the total number of members triples. Give a non-simplified expression that represents the total number of members at the club after the third year. Then simplify your expression. 7.EE.1 Non-simplified expression: Simplified expression: Course 2 • Countdown • 11 Weeks 31 4. Korteza takes 36 minutes 30 seconds to play 4 holes at a miniature golf course. She thinks about the number of holes x she completes in y minutes. Select whether each statement is true or false. 7.RP.2, 7.RP.2b, 7.RP.2c True False The ratio of played holes to minutes can be written as 2:18.25. Think Smart for SBAC On the actual test, you might be asked to click the appropriate box for each statement. In this book, you will be asked to shade in the boxes instead. Korteza plays a hole every 9 minutes 10 seconds. _1 The equation y = 9 x represents the relationship. 8 On a graph of this proportional relationship, the line would pass through the point (45.625, 5). Her unit rate of holes played per minute is about 0.11. 5. Course 2 • Countdown • 11 Weeks Student Test Scores A 100, 90, 80, 70, 75 B 75, 77, 80, 90, 95 C 50, 62, 75, 68, 100 D 54, 50, 75, 80, 99 E 100, 75, 100, 90, 85 F 99, 98, 88, 90, 75 G 80, 85, 87, 88, 89 Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 32 The table shows 5 test scores for some students in the same class. The teacher decides that she is going to give another assignment for extra credit if at least half of the students did not make an average of 80 or better on the 5 tests. Did she give another assignment for extra credit? Why or why not? 7.EE.3 NAME DATE PERIOD SCORE Countdown: 10 Weeks 1. Select all of the scenarios in which the initial location or measurement is equal to the final location or measurement. 7.NS.1, 7.NS.1a A bird travels 5 meters east, then 5 meters west, then 1 meter south. The temperature of water is raised 25°C, then lowered 25°F. An airplane is at 35,000 feet, then descends to 29,100 feet, then rises 5,900 feet. A baseball player throws a ball straight up 50 feet and then catches it back in his glove. A football is thrown from ground level and lands in a second-story balcony 15 feet high. A man deposits $45 into his account. The next day, he makes 3 deposits of $20 each. A week later, he withdraws $105. 2. A student buys 3 pounds of nuts for $4.50. Another student buys 5.5 pounds of nuts from the same store for $8.25. A third student buys 4.5 pounds of nuts from the same store for $6.75. 7.RP.2, 7.RP.2a Money Spent ($) Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Part A: Plot the points on the graph, and connect them with a line, if possible. 10 9 8 7 6 5 4 3 2 1 0 y Think Smart for SBAC On the actual test, you might be asked to click the buttons to plot points and graph a line. In this book, you will be asked to draw the points and the line on the coordinate plane provided. x 1 2 3 4 5 6 7 8 9 10 Amount of Nuts (lb) Part B: Is the relationship proportional? Explain why or why not. Course 2 • Countdown • 10 Weeks 33 3. A carpenter builds a wooden fence around 3 sides of his rectangular backyard, as shown in the diagram. The backyard is twice as long as it is wide. 7.EE.4, 7.EE.4a b a a Part A: Write an expression for the length of the fence using only the variable a. Part B: The perimeter of the entire backyard is 60 ft. Using the expression from Part A, write an equation modeling this scenario again using only the variable a. Part C: Solve your equation to find the total length of the fence. 4. Select all of the scenarios that would require an inequality to solve. 7.EE.4, 7.EE.4b A customer has a $5 bill and wishes to buy as many $0.33 bags of cashews as possible. Each of the 6 rooms in a building has a capacity of 100 people. How many people could be in the building? y is twice the value of x, which is a quarter the value of z. The values of x and z are known. What is the value of y? 5. 34 _1 scale and A construction worker is looking at blueprints drawn to a 20 notices that a wall on the blueprints is 0.5 feet by 0.25 feet. He claims that the area of the actual wall should be 20 times the area that it is on the blueprints. Explain if he is correct or incorrect. 7.G.1 Course 2 • Countdown • 10 Weeks Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. A homeowner fills his outdoor pool 8 times, using a total of 640 cubic feet of water. He wishes to know the volume of the pool. NAME DATE PERIOD SCORE Countdown: 9 Weeks 1. A circular window with a circumference of 10 feet is to be placed into a wall at a new home. The builder cuts a hole for the window and says that it has an area of at least 8 square feet. Explain why she is right or wrong. 7.G.4 2. A store manager gets a percentage of his store’s profits x as a bonus in dollars y. Select all of the equations that could represent this relationship. 7.RP.2, 7.RP.2c y = 0.03x 100y = x y = 0.1x + 40 Think Smart for SBAC On the actual test, you might be asked to click all of the correct answer choices. In this book, you will be asked to shade a box next to each correct answer choice. y = 4x Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 0.25y = x 3. A storage locker has the shape of a cube. Each side has a whole-number length. 7.NS.2, 7.NS.2d, 7.G.6 Part A: Circle all the values that could be the volume of the locker. 64 yd3 144 ft3 9 yd3 100 ft3 125 ft3 Part B: Explain why you selected the choices you did. Course 2 • Countdown • 9 Weeks 35 4. Penelope receives a percentage of the sales price as commission for every unit she builds. She builds the same number of units every hour. Select whether each equation represents the situation described. 7.EE.2 True False 23x = 270, where x is the number of hours worked. She built 20 units each hour, gets a 15% commission, and earned $270. Each unit sells for $15. 240x = 80, where x is the commission percentage. She worked 8 hours, built 10 units each hour, and earned $80. Each unit sells for $3. 18x = 144, where x is the price of each unit. She worked 6 hours, built 12 units each hour, gets a 25% commission, and earned $144. 64 = 896x, where x is the number of units built per hour. She worked 8 hours, gets a 20% commission, and earned $896. Each unit sells for $5. 5. Course 2 • Countdown • 9 Weeks Method Description A surveying every fifth student in the cafeteria at lunch B surveying the basketball team C surveying random teachers D surveying the students in his first, second, and third period classes Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. 36 Frank wants to know the favorite sport of his classmates. Which survey method(s) would most likely provide him unbiased results? Explain. 7.SP.1
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