Chapter 6 Quiz. Name: Class: Date: Numeric Response

Transcription

1 Name: Class: Date: Chapter 6 Quiz Numeric Response 1 Gridded Response Thomas has been offered two jobs. The first job pays $ per week. The second job pays $ per week plus 12% commission on his sales. How much will he have to sell in order for the second job to pay as much as the first job? Short Answer 2 Write 54% as a fraction in simplest form. 3 Write 3.37 as a percent. 4 Write 7 as a percent. 8 Alaska is the largest state in the United States and has an area of approximately 588,000 square miles. Indiana has an area that is approximately 6% of the area of Alaska. What is the approximate area of Indiana? 5 Order 4, 8.2, 6, 9, and 1 3 from least to 4 greatest. 6 During the weekdays, Tom finished 84% of his weekly chores, and Kim completed 9 of her weekly chores. Who must finish a greater percent of chores during the weekend? 7 Find 30% of A jar is filled with buttons of various colors. If the jar has a total of 420 buttons and 85% of the buttons are green, how many green buttons are in the jar? 39 is what percent of 80? If necessary, round your answer to the nearest tenth. 1

2 Name: 11 What percent of 146 is 39? If necessary, round your answer to the nearest hundredth is 26% of what number? If necessary, round your answer to the nearest hundredth. 13 A general admission ticket to an amusement park was first on sale for 50% of its original price. Then the amusement park marked it down to 47% of that price. Eva got an additional $7 off this price because of her school. If Eva paid $2.87, what was the original price? 14 Jenny bought scrapbooking supplies for $ She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth. 15 Four candidates participated in a school election. Bianca received 1 of the votes, Chelsea received 0.14 of the votes, Darnell received 57% of the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive? 16 Hurricanes are classified into five levels based upon their wind speed. The minimum wind speed of a level-1 hurricane is approximately 47% of the minimum wind speed of a level-5 hurricane. If the minimum wind speed of a level-5 hurricane is 156 miles per hour, what is the minimum wind speed of a level-1 hurricane? Round your answer to the nearest mile per hour. 17 The Verrazano-Narrows Bridge has a main span of 4,260 feet. The Akashi Kaikyo Bridge has a main span that is approximately 153% of the main span of the Verrazano-Narrows Bridge. What is the length of the main span of the Akashi Kaikyo? Round your answer to the nearest foot. 21 Benny s older brother, Charles, is in college. Charles studies 17.5 hours each week. This is 204.8% of the amount of time Benny spends studying. How many hours does Benny study each week to the nearest tenth of an hour? 18 A compound is made up of various elements totaling 120 ounces. If the total amount of zinc in the compound weighs 11 ounces, what percent of the compound is made up of zinc? If necessary, round your answer to the nearest hundredth of a percent. 19 In a science lab, a number of rock samples are weighed. If the scientist finds one of the rocks to weigh 6 pounds and this is 38.7% of the total weight of all of the rocks, what is the weight of all of the rocks? If necessary, round your answer to the nearest tenth. 20 The Velociraptor dinosaur averaged 6 feet in length. This is 42.9% of the average length of a Ornithimimus dinosaur. What was the average length of the Ornithimimus? If necessary, round your answer to the nearest hundredth. 2

3 Chapter 6 Quiz Answer Section NUMERIC RESPONSE 1 ANS: $ PTS: 1 DIF: 2 STA: MA.7.A.1.2 TOP: 6-5 Solving Percent Problems KEY: percent commission SHORT ANSWER 2 ANS: % = 54 0 Write the percent as a fraction with a denominator of 0. = Write the fraction in simplest form. PTS: 1 DIF: 1 OBJ: Writing Percents as Fractions STA: MA.6.A.5.1 TOP: 6-1 Percents KEY: percent fraction 3 ANS: 337% Move the decimal point two places to the right = 337% PTS: 1 DIF: 1 STA: MA.6.A.5.1 TOP: 6-1 Percents KEY: percent decimal 4 ANS: 70% Write the fraction as a decimal by dividing the numerator by the denominator. Then, write the decimal as a percent. PTS: 1 DIF: 1 OBJ: Writing Fractions as Percents STA: MA.6.A.5.1 TOP: 6-2 Fractions, Decimals, and Percents KEY: fraction percent 1

4 5 ANS: 9, 8.2, 4, 1 3 4, 6 Graph the numbers on a number line. Then, read them from left to right. The numbers in order from least to greatest are 9, 8.2, 4, 1 3, and 6. 4 PTS: 1 DIF: 2 OBJ: Ordering Rational Numbers STA: MA.6.A.5.2 TOP: 6-2 Fractions, Decimals, and Percents KEY: negative order number line 6 ANS: Tom Write 9 as a percent, and compare. 9 = 0.9 = 90% Tom finished 84% of his weekly chores, so he has 16% of chores to do during the weekend. Kim finished 90% of her chores, so she has % of chores to do during the weekend. Therefore, Tom must finish a greater percent of chores during the weekend. PTS: 1 DIF: 2 STA: MA.6.A.5.2 TOP: 6-2 Fractions, Decimals, and Percents KEY: multi-step decimal fraction percent 7 ANS: 21 part whole = percent Use the percent proportion. 0 x 70 = 30 Let x represent the part. 0 0x = 70( 30) Find the cross products. 0x 70 = ( 30 ) 0 0 x = 21 30% of 70 is 21. Since x is multiplied by 0, divide both sides by 0 to undo the multiplication. PTS: 1 DIF: 1 OBJ: Using Proportions to Find Percents of Numbers STA: MA.7.A.1.2 TOP: 6-4 Percent of a Number KEY: percent multiplication 2

5 8 ANS: 35,280 square miles First, write 6% as a decimal. 6% = 0.6. Then, multiply 588,000 and , = 35,280 The area of Indiana is about 35,280 square miles. PTS: 1 DIF: 2 OBJ: Application STA: MA.7.A.1.2 TOP: 6-4 Percent of a Number KEY: percent decimal 9 ANS: 357 green buttons First, write 85% as a decimal. 85% = 0.85 Then, multiply 420 and = 357 There are 357 green buttons are in the jar. PTS: 1 DIF: 2 OBJ: Application STA: MA.7.A.1.2 TOP: 6-4 Percent of a Number KEY: percent decimal ANS: 48.8% = n 0 Write a proportion = 80 n Set the cross products equal = 80n Multiply = n Divide to isolate n. PTS: 1 DIF: 1 OBJ: Using Proportions to Solve Problems with Percents STA: MA.7.A.1.2 TOP: 6-5 Solving Percent Problems KEY: percent percent problems proportion 3

6 11 ANS: 26.71% 39 = 146x Write an equation. Let x represent the percent = 146x = x The answer is a decimal % = x Write the decimal as a percent. 39 is 26.71% of 146. Since x is multiplied by 146, divide both sides by 146 to undo the multiplication. PTS: 1 DIF: 1 OBJ: Using Equations to Solve Problems with Percents STA: MA.7.A.1.2 TOP: 6-5 Solving Percent Problems KEY: percent percent problems proportion 12 ANS: = 26 of x Write an equation. Let x represent the whole. 45 = 0.26x Write the percent as a decimal = 0.26x Since x is multiplied by 0.26, divide both sides by 0.26 to 0.26 undo the multiplication = x 26% of 45 is PTS: 1 DIF: 1 OBJ: Using Equations to Solve Problems with Percents STA: MA.7.A.1.2 TOP: 6-5 Solving Percent Problems KEY: percent percent problems proportion 13 ANS: $42.00 Step 1: Find the cost without the additional discount from Eva s school. $ $7 = $9.87 Step 2: The cost was $9.87 without the additional discount. Find the cost before the second markdown is 47% of what number? 9.87 = 0.47x Write an equation = x Divide both sides by Step 3: The cost was $21.00 before the second markdown. Find the original price is 50% of what number? = 0.50x Write an equation. 42 = x Divide both sides by The original price of the ticket was $ PTS: 1 DIF: 2 OBJ: Application STA: MA.7.A.1.2 MA.7.A.5.2 TOP: 6-5 Solving Percent Problems KEY: percent discount markdown 4

7 14 ANS: 8% = n 0 Write a proportion = n Set the cross products equal. 566 = 70.75n Multiply. 8 = n Divide to isolate n. If necessary, round. PTS: 1 DIF: 2 OBJ: Finding Sales Tax STA: MA.7.A.1.2 TOP: 6-5 Solving Percent Problems KEY: percent sales tax proportion 15 ANS: 19% First, find what percent of the votes Bianca and Chelsea received. 1 = % and 0.14 = 14% Then, subtract the percents you know from 0% to find the remaining percent. 0% % 14% 57% = 19% Francisco received 19% of the votes. PTS: 1 DIF: 2 OBJ: Application STA: MA.6.A.5.2 TOP: 6-3 Finding Percents NOT: ANS: 73 miles per hour Set up a proportion and solve. PTS: 1 DIF: 2 OBJ: Finding the Percent of a Number STA: MA.7.A.1.2 TOP: 6-3 Finding Percents KEY: percent NOT: ANS: 6,518 ft Set up a proportion and solve = n 4,260 PTS: 1 DIF: 2 OBJ: Finding the Percent of a Number STA: MA.7.A.1.2 TOP: 6-3 Finding Percents KEY: percent NOT:

8 18 ANS: 9.17% = x 0 120x = x 11 = ( 0 ) x = 9.17 Set up a proportion. ( ) Find the cross products. 9.17% of the compound is made up of zinc. Since x is multiplied by 120, divide both sides by 120 to undo the multiplication. PTS: 1 DIF: 2 STA: MA.7.A.1.2 TOP: 6-3 Finding Percents KEY: convert decimal fraction percent NOT: ANS: 15.5 lb Set up an equation to find the weight of all of the rocks. Divide to undo the multiplication, and simplify. 6 = 38.7% n 6 = 0.387n = 0.387n = n PTS: 1 DIF: 2 OBJ: Application STA: MA.7.A.1.2 TOP: 6-4 Finding a Number When the Percent Is Known KEY: percent NOT: ANS: 14 ft 6 x = Set up a proportion. 42.9x = 6( 0) Find the cross products. 42.9x 42.9 = 6( 0) Since x is multiplied by??, divide both sides by?? to undo the 42.9 multiplication. x = 14 PTS: 1 DIF: 2 OBJ: Application STA: MA.7.A.1.2 TOP: 6-4 Finding a Number When the Percent Is Known KEY: percent NOT:

9 21 ANS: 8.5 h 204.8% of h = 17.5 Find a number when the percent is known = 17.5 h Set up a proportion h = Find the cross products h = Divide both sides by h = 8.5 hours Simplify and round to the nearest tenth if necessary. Benny studies 8.5 hours per week. PTS: 1 DIF: 2 STA: MA.7.A.1.2 TOP: 6-4 Finding a Number When the Percent Is Known NOT: