Pre-Algebra Chapter 4 Test

Transcription

1 Name: Class: Date: Pre-Algebra Chapter 4 Test Multiple Choice Identify the choice that best completes the statement or answers the question 1 A factory worker can package 150 games in 15 minutes How many games can he package per minute? a 20 c 833 b 135 d 10 2 A block of gold with a mass of 025 kilogram has a volume of 4,830 cubic meters What is the density of gold? a 19,320 kg/m 3 c 14,490 kg/m 3 b 1,2075 kg/m 3 d 4,83025 kg/m 3 3 A professional cyclist is training for the Tour de France What was his average speed in miles per hour if he rode the 120 miles from Laval to Blois in 47 hours? Round your answer to the nearest tenth a 255 mph c 704 mph b 1153 mph d 5640 mph 4 Cereal is on sale this week Is it a better buy to get the 10-ounce box for $195 or the 14-ounce box for $281? a 10-oz box b 14-oz box 5 Ellen needs new socks Her mother can buy a package of 6 pairs of socks for $325 or a package of 9 pairs for $475 Which is the better buy? a package of 6 b package of 9 6 Estimate the unit rate 207 students in 7 classes a 23 students per class c 45 students per class b 30 students per class d 200 students per class and Tell whether the ratios 5 are proportional 14 a no b yes 8 Gabriel got 15 out of 16 problems right on his math test On his history test, he correctly answered 46 out of 49 questions Were his results on the two tests proportional? Use cross products to decide a no b yes 9 At a hardware superstore, you can buy a set of 6 wrenches for $10, and a set of 19 screwdrivers for $31 Are these prices proportional? Use cross products to decide a yes b no 1

2 Name: $z 10 Solve the proportion 12 items = $36 3 items a z = 36 c z = 144 b z = 12 d z = 1 11 Solve the proportion k 4 = a k = 132 c k = 5 b k = 66 d k = Solve the proportion p 3 = a p = 375 c p = 24 b p = 4 d p = Solve the proportion y 8 = a y = 6 c y = 11 b y = 582 d y = Solve the proportion g 4 = a g = 10 c g = 364 b g = 176 d g = The Anderson family is preparing for a family reunion They think they will need 8 juice boxes for every 4 children who attend How many juice boxes will they need if they are expecting 26 children? a 208 juice boxes c 32 juice boxes b 52 juice boxes d 8 juice boxes 16 To make 6 dozen cookies, you must use 2 eggs How many eggs are needed to make 42 dozen cookies? Use a proportion to solve a 4 eggs c 126 eggs b 14 eggs d 7 eggs 17 In her catering business, Judith usually estimates that 8 pounds of meat will feed about 36 people How many pounds of meat should she prepare if she is expecting 144 people? a 12 lb c 648 lb b 2 lb d 32 lb 2

3 Name: 18 Tell whether ABC and XYZ could be similar a are not similar b could be similar 19 Tell whether trapezoid ABCD and trapezoid WXYZ could be similar a are not similar b could be similar 20 Which rectangles are similar? a 2 and 3 b 1 and 2 c 1 and 3 3

4 Name: 21 Mona needs to photocopy a 15 centimeters wide by 16 centimeters long picture She wants to enlarge the picture so that its length will be 48 centimeters How wide will the enlarged picture be? a 45 cm c 144 cm b 47 cm d 512 cm 22 On the plans for a new house, the house is 18 inches wide by 20 inches long If the house is actually going to be 27 feet wide, what will the actual length of the house be? a 405 ft c 243 ft b 25 ft d 30 ft 23 Tell whether the transformation is a dilation a no b yes 24 The mass of a block of stone is 2,000 kg If the block has a volume of 05 m 3, what is its density? Remember, density is mass per unit of volume a 4,000 kg / m 3 b 1,000 kg / m 3 25 Which of these prices is lower than 8 for $1000? a 3 for $400 c 6 for $750 b 11 for $1200 d 5 for $ A packing machine can pack 3,000 boxes in 4 hours At what rate does the machine work? a 340 boxes/hour c 640 boxes/hour b 480 boxes/hour d 750 boxes/hour 27 Solve the following proportion for x $20 2 hours = x 8 hours a $10 c $160 b $40 d $80 4

5 Name: 28 Solve the following proportion for x $24 3 hours = x 6 hours a $48 b $72 29 An airplane traveled 60 miles in 20 minutes At this rate, how far will it travel in 40 minutes? a 30 miles c 120 miles b 80 miles d 200 miles 30 Which value completes the table below comparing two different serving sizes? Serving Size (g) Protein (g) a 16 b Triangle ABC is similar to triangle DEF What is the value of x? a 6 b A photograph 6 inches wide by 8 inches long is scaled to 12 inches long in a book What is the width of the published picture? a 4 inches c 3 inches b 9 inches d 16 inches 33 A model ocean liner is 12 inches long If it is built to a scale of 1 in : 300 ft, how long is the real ocean liner? a 300 feet b 3,600 feet 34 The two triangles are similar Identify the scale factor of the dilation from the larger triangle to the smaller triangle a 2 b 05 5

6 Name: Numeric Response 1 A writer wrote 135 pages in 18 days At this rate, how many more days would it take her to finish a 435-page novel? Short Answer 1 The mass of a block of stone is 3,000 kg If the block has a volume of 15 m 3, what is its density? Remember, density is mass per unit of volume 2 What is the price per unit if apples are 5 for $120? 3 A packing machine can pack 2,500 boxes in 5 hours At what rate does the machine work? 4 An airplane traveled 45 miles in 15 minutes At this rate, how far will it travel in 20 minutes? 6