STUDENT NAME: GRADE 8 MATHEMATICS

Transcription

1 STUDENT NAME: GRADE 8 MATHEMATICS Administered October 2009

2 Name: Cla ss: 8th Grade TAKS Practice Test 1 1 A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in order from least to greatest. A , , , B 392.4, , , C 101.2, , , D 834, , 834.2, A phone company charges $39.90 per month for the first 700 minutes of calls and $0.4 a minute for any calls beyond 700 minutes. Last month Salma made 725 minutes of calls. What was her total cost for calls last month? F $39.90 G $41.90 H $49.90 J $ A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company s workforce to double in size? A 8m + 450m =?900 B 2m =?900 C 2(8m + 450) =?900 D 8m =?900 4 Let n represent the position of a number in the following arithmetic sequence. 1 2,1, 3 2,2,... Which expression can be used to find any term in the sequence? F G H J 2n 1 2 n 3 2 n 5 2 n 8th Grade TAKS Practice Test 1 1

3 5 The table below shows land-speed records. A B C D Whose land-speed record did Green exceed by exactly miles per hour? Elyston Cobb Breedlove Noble 6 On Friday the low temperature in Nome, Alaska, was -12 F, and the high temperature was 23 F. How much warmer was the high temperature than the low temperature? F -35 F G -11 F H 11 F J 35 F 7 A store sells potatoes in 5-pound bags for $2.29. Which of the following bags of potatoes would be the same price per pound? A A 20-pound bag for $8.80 B A 2-pound bag for $1.02 C A 10-pound bag for $4.58 D A 7-pound bag for $3.01 8th Grade TAKS Practice Test 1 2

4 8 A baseball card was worth $3 when it was issued in The table shows the value of the card each year since Value of Baseball Card Year Value of Card 1996 $ $ $ $ $ $5.00 Based on the information in the table, what is a reasonable prediction for the value of the baseball card in 2004? F Between $5 and $6 G Between $6 and $7 H Between $7 and $8 J Between $8 and $9 9 Let n represent the position of a term in the sequence below. 8, 11, 14, 17, 20, 23,... Which algebraic expression can be used to find the nth term of the sequence? A 2n + 6 B 6n + 2 C 5n + 3 D 3n A ladder that is 13 feet long leans against a building. The bottom of the ladder is 5 feet away from the base of the building. How far up the side of the building does the ladder reach? F 18 ft G 16 ft H 12 ft J 8 ft 11 Anthony helps his father with his lawn-mowing service. His father charges from $25.00 to $50.00 per lawn depending on the size of the lawn to be mowed. Last Saturday, Anthony and his father spent 6 1 hours mowing 3 lawns. If 2 Anthony s father actually charged $25.00 for the smallest lawn and $50.00 for the largest lawn, about how much could Anthony s father have charged for all 3 lawns? A $75 B $95 C $110 D $150 8th Grade TAKS Practice Test 1 3

5 12 A gift basket contains ounces of chocolate candy, ounces of hard candy, and 4 ounces of dried fruit. What is the total weight of the contents of the gift basket? F oz G oz H oz J oz 13 Ms. Gonzalez s monthly electricity bills for March through June were $97.09, $103.96, $114.73, and $ She estimated that the electricity cost a total of $ over these 4 months. Which best describes her estimate? A B C D Less than the actual amount because she rounded to the nearest $100 Less than the actual amount because she rounded to the nearest $10 More than the actual amount because she rounded to the nearest $100 More than the actual amount because she rounded to the nearest $10 14 Jasmine has an average of 95 on 15 quiz grades. If her teacher drops Jasmine s lowest grade, a 72, which equation can beused to find n, Jasmine s new quiz average? F n = 14 (95 15) 72 G n = 14 (95 15) 72 H n = 15 95(72 15) J n = The students in Mr. Lee s science class are ordering the materials they will need for a science experiment. Each student will need a bag of plant seeds that costs $1.00 and a 6-plant tray that costs $2.50. If x represents the number of students in Mr. Lee s science class, which equation can be used to find y, the amount in dollars spent by Mr. Lee s students? A y = 2.5x + 1 B y = 3.5x C y = x D y = x th Grade TAKS Practice Test 1 4

6 16 The equation c = 0.75t represents c, the total cost of t tickets on a bus. Which table contains values that fit this equation? F G H J 8th Grade TAKS Practice Test 1 5

7 17 Look at the sequence in the table below. 20 A limousine-rental company advertises a price of $ to rent a limo for 4 days. At that rate, which equation can be used to find r, the total cost in dollars and cents to rent a limo for 7 days? F r = G r = H r = J r = The graph below shows the growth rate of a human fingernail. Which expression can be used to find the value of the term in the nth position? A B C D 18 The Sundown Parking Garage charges $5.00 to park a car for the first hour and $0.75 for each additional hour or part of an hour after the first hour. What is the total charge for parking a car for 4 hours 42 minutes in this garage? F $5.75 G $6.50 H $7.25 J $ A jeweler bought 2 meters of silver chain. She used 20 centimeters to make a bracelet and 60 centimeters to make a necklace. How many meters of silver chain did she have left? Based on the information in the graph, which best represents the number of millimeters a fingernail grows in 25 days? A 3.1 mm B 3.6 mm C 4.1 mm D 4.6 mm A B C D 1,200 m 120 m 1.2 m 0.12 m 8th Grade TAKS Practice Test 1 6

8 22 A set of parentheses is missing from the expression below Which of the following expressions has the parentheses in the correct place for the expression to equal 52? F 15 - ( ) + 4 G ( ) H 15 - ( ) J (2 + 4) 23 To cover his bulletin board, Mr. Adams needs yards of fabric and 6 1 yards of trim. If the 4 fabric costs $2.79 per yard and the trim costs $1.19 per yard, which equation can be used to find c, the total cost of covering the bulletin board? A c = ( ) + ( ) B c = ( ) + ( ) C c = ( ) - ( ) D c = ( ) - ( ) 24 At the local grocery store, beans cost $0.56 per pound, and bread costs $1.84 for 2 loaves. Which equation can be used to find t, the total cost if Don buys 2.90 pounds of beans and 1 loaf of bread? F t = ( ) + ( ) G t = ( ) + (2 1.84) H t = ( ) + (1.84 2) J t = ( ) + (2 1.84) 25 Mr. Park s total monthly charge for local and long-distance telephone service, c, can be found using the equation c = m, where m represents the number of minutes of long-distance calls Mr. Park made during that month. Find the total charge for a month during which Mr. Park made 100 minutes of long-distance calls. A $7.00 B $20.00 C $20.07 D $ A fast train, known as a bullet train, travels at an average speed of 163 miles per hour. The equation below shows the relationship between d, the number of miles the train travels, and t, the number of hours it travels. d = 163t What is the distance in miles the train will travel in hours? F 163 G H 263 J A recipe for 12 waffles calls for 1 1 cups of 2 milk, 2 1 cups of flour, and cups of other ingredients. How many cups 3 of milk, flour, and other ingredients are needed to make 36 waffles? A cups B C D cups cups cups 8th Grade TAKS Practice Test 1 7

9 28 In the sequence below, which expression can be used to find the value of the term in the nth position? F n G H 4n J n Mr. Polanco purchased 12 boxes of tile. Each box contained 15 square tiles. If Mr. Polanco wants to tile the wall 14 tiles high and 13 tiles long, which procedure can he use to determine whether he has enough tiles to complete the job? A Multiply 14 by 12 B Subtract 14 from 15 and then multiply by 12 C Multiply 12 by 15 and then compare the product with the product of 13 and 14 D Add 15 and 14 and then multiply by 13 8th Grade TAKS Practice Test 1 8

10 30 Mrs. Pardue wants to purchase some apples. She compared prices from several different on-line grocers. Which grocer s price table is based on a constant unit price? F G H J 8th Grade TAKS Practice Test 1 9

11 31 The table below shows a relationship between x and y. Which equation best represents this relationship? A y = x + 3 B y = 3x C y = 5x - 3 D y = 5x On Monday Cornelius s mother gave him school money for the week. He spent $2.80 for lunch every day for 5 school days. He paid a $0.75 book fine at the library and bought school supplies for $3.50. If Cornelius had $1.75 left at the end of the school week, which expression can he use to find the amount of money he received on Monday? F (2.80) G 5(2.80) H J 5( ) 33 The Childress family went on a camping trip. They paid $28.00 for a 2-night stay at a campground that allows a maximum stay of 30 nights. Which equation can they use to find c, the cost of camping at this campground for the maximum number of nights? A c = B c = C c = D c = The Wright Pen Company sells 3-pen packages for $1.50. Which company sells pens for the same price per pen? F Jones Pen Company 4-pen packages for $2.50 G Cavazos Pen Company 5-pen packages for $3.00 H Smother Pen Company 7-pen packages for $3.50 J Nottingham Pen Company 9-pen packages for $ A car-rental company advertises a price of $ to rent a car for 7 days. At that rate, Which equation can be used to find r, the total cost in dollars and cents to rent a car for 12 days? A r = B r = C r = D r = The table shows the relationship between the weight of a package and the cost of mailing it. Based on the pattern in the table, what will it cost to mail a 13-ounce package? F $3.04 G $2.99 H $3.13 J $4.81 8th Grade TAKS Practice Test 1 10

12 37 A camp leader plans to buy 3 hot dogs per person for a cookout. If 30 people are going on the cookout and if hot dogs cost $3.99 per package, what other information is needed to find the cost of the hot dogs? A B C D The number of meals at which hot dogs will be served The cost of mustard and relish The number of people who eat hot dogs The number of hot dogs in a package 38 Raymond packs boxes for an appliance company. He can pack a large box in 10 minutes and a small box in 4 minutes. He needs to pack 10 large boxes and 20 small boxes. If 2.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping? F Yes, Raymond will finish the work in 1.8 hours. G No, it will take him 4 hours to finish. H Yes, Raymond will finish the work in 0.5 hour. J No, it will take him 3 hours to finish. 39 Three friends went out to lunch together. The bill for all their meals was $52.50 before tax. The tax was 8% of the bill. The friends split the total bill, including tax, evenly. Which expression can be used to find the amount of tax that each person paid? A ( ) 3 B ( ) 3 C ( ) 3 D ( ) 3 40 Before the last game of the basketball season, Fernando had scored a total of 73 points. He scored 20 points in the last game, making his season average 15.5 points per game. To find the total number of games he played, first find the sum of 73 and 20 and then F add the sum to 15.5 G subtract 15.5 from 73 H multiply the sum by 15.5 J divide the sum by Tim ran 150 meters in 25 seconds, and Evan ran 90 meters in 15 seconds. Based on these rates, which statement is true? A B C D Tim s average speed was 4 meters per second faster than Evan s average speed. Tim s average speed was 2.4 meters per second faster than Evan s average speed. Tim s average speed was 2 meters per second faster than Evan s average speed. Tim s average speed was equal to Evan s average speed. 42 A water tank contains 2,500 gallons. A faucet attached to the tank releases water at a constant rate of 5 gallons per minute. If the faucet is left open for 1 hour and no other water is released, which equation can be used to find r, the number of gallons of water remaining in the tank? F r = 2,500 5 G r = 2, H r = 2,500-60(5) J r = 2,500 60(5) 8th Grade TAKS Practice Test 1 11

13 43 Three roommates agreed to split the cost of food and rent evenly. Last month they spent a total of $ for food and $365 for rent. Find the amount that each of the 3 roommates paid. A B C D Which expression can be used to find the nth term in the following arithmetic sequence, where n represents a number s position in the sequence? F n + 4 G 3n + 4 H 5n J 4n + 1 Position in Sequence n Term ? 45 Sean is planning a trip of 1,450 miles. He plans to drive between 250 and 300 miles each day. At this rate, which is a reasonable number of days it will take Sean to complete his trip? A Less than 4 days B Between 4 and 6 days C Between 6 and 8 days D More than 8 days 46 The expression shown below describes a pattern of numbers. n(n -1) + 4 If n represents a number s position in the sequence, which pattern of numbers does the expression describe? F 4, 6, 8, 10, 12,... G 1, 4, 6, 10, 16,... H 4, 6, 10, 16, 24,... J 4, 10, 18, 28, 40, Mr. Flores ran a 26.1-mile marathon last year. He completed the race in 5 hours 6 minutes.this year Mr. Flores would like to run the same marathon in 4.5 hours. How many miles per hour should Mr. Flores run to complete the marathon in 4.5 hours? [D = r t] A 5.8 mph B 6.2 mph C 11.8 mph D 5.6 mph 8th Grade TAKS Practice Test 1 12

14 48 The Webster Junior High faculty includes 37 teachers. The principal's and teachers' annual salaries total $1,266,140. If the principal's salary is $54,250, which equation can be used to find s, the average salary for a teacher at Webster Junior High? F G H J 49 Nikki paid Dalton $15.50 for a combination of 15 baseball and football cards. The baseball cards were $1.50 each, and the football cards were $0.50 each. How much did Nikki spend on the baseball cards? A $3.50 B $12.00 C $4.00 D $ Vanita can read an average of 18 pages during a 30-minute reading period at school. At this rate, approximately how long will it take her to read a 380-page book? F G H J 11 h 21 h 23 h 42 h 8th Grade TAKS Practice Test 1 13