Transcription
Holt Algebra 1Homework and Practice WorkbookFM Practice SE.indd 11/18/06 1:36:24 PM
Copyright by Holt, Rinehart and WinstonAll rights reserved. No part of this publication may be reproduced or transmitted in any form or byany means, electronic or mechanical, including photocopy, recording, or any information storageand retrieval system, without permission in writing from the publisher.Requests for permission to make copies of any part of the work should be mailed to thefollowing address: Permissions Department, Holt, Rinehart and Winston, 10801 N. MoPacExpressway, Building 3, Austin, Texas 78759.HOLT and the “Owl Design” are trademarks licensed to Holt, Rinehart and Winston,registered in the United States of America and/or other jurisdictions.Printed in the United States of AmericaIf you have received these materials as examination copies free of charge, Holt, Rinehart andWinston retains title to the materials and they may not be resold. Resale of examinationcopies is strictly prohibited.Possession of this publication in print format does not entitle users to convert this publication,or any portion of it, into electronic format.ISBN 0-03-046637-71 2 3 4 5 6 7 8 9 862 09 08 07 06FM Practice SE.indd 26/28/06 4:44:54 PM
ContentsChapter 1 .1Chapter 2 .9Chapter 3 . 19Chapter 4 . 25Chapter 5 . 31Chapter 6 . 40Chapter 7 . 46Chapter 8 . 54Chapter 9 . 60Chapter 10 . 69Chapter 11 . 77Chapter 12 . 86Copyright by Holt, Rinehart and Winston.All rights reserved.FM Practice SE.indd iiiiiiHolt Algebra 16/9/06 11:03:41 AM
FM Practice SE.indd 41/18/06 1:36:24 PM
NameLESSON1-1DateClassPractice BVariables and ExpressionsGive two ways to write each algebraic expression in words.x1. 15 b2.16the difference of 15 and bthe quotient of x and 16b less than 15x divided by 163. x 94. (2)(t)the sum of x and 9the product of 2 and t9 more than x2 times t5. z 76. 4ythe difference of z and 7the product of 4 and y7 less than z4 times y7. Sophie’s math class has 6 fewer boys than girls,and there are g girls. Write an expression for thenumber of boys.g 68. A computer printer can print 10 pages per minute.Write an expression for the number of pages theprinter can print in m minutes.10mEvaluate each expression for r 8, s 2, and t 5.10. r s9. st11. s t41012. r t714. t s13. r · s163315. Paula always withdraws 20 dollars more than she needs from the bank.a. Write an expression for the amount of moneyPaula withdraws if she needs d dollars.b. Find the amount of money Paula withdrawsif she needs 20, 60, and 75 dollars.Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L01.indd 11d 2040 dollars; 80 dollars;95 dollarsHolt Algebra 11/12/06 5:11:12 PMProcess Black
NameLESSON1-2DateClassPractice BAdding and Subtracting Real NumbersAdd or subtract using a number line.1. 6 ( 8)2. 2 ( 8) 143. 10 ( 4) 6104. 2 ( 6)5. 7 76. 0.25 404 4.25Add.7. 5 238. 15 ( 9) 24183 510. 811. a ( 14) for a 1654289. 24.6 ( 45.5) 20.912. 3.3 x for x 9.1 12.4Subtract.13. 35 ( 80)14. 12 ( 16)15. 8.3 10.7 2.428452 5116. 3317. 15 t for t 22 618. z 3.5 for z 1 2.53719. The record high temperature for Asheville, NorthCarolina was 99 F. The record low was 17 F. Whatis the difference between these two temperatures?20. The balance in Mr. Sanchez’s bank account was 293.74. He accidentally wrote a check for 300.What is his balance now?116 F 6.26Evaluate the expression 18 n for each value of n.21. n 13123. n 20522. n 8.5531Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L02.indd 29.451 252Holt Algebra 11/12/06 5:11:02 PMProcess Black
NameLESSON1-3DateClassPractice BMultiplying and Dividing Real NumbersFind the value of each expression.1. 24 83. 96 32. 24( 5) 12034. 6(20) 325. 7p for p 15 120Divide.8 27. 936. t ( 1.5) for t 6 4105 68. 12 254 11 33 1 519. 243 27 6450Multiply or divide.1 012. 311. 0 1010. 0 · 4.7500undefined13. When Brianna’s first CD sold a million copies, her record labelgave her a 5000 bonus. She split the money evenly betweenherself, her agent, her producer, and her stylist.How much money did each person receive? 52 15.5214. (0.3)( 1.8)16. 15 ( 6)5 21 1 0.54 125022Evaluate each expression for x 16, y –4, and z –2.17. y x1 18. x · y122. y z21. (y)(z)8223. x z24. x y 8Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L03.indd 3 32 64420. z y19. xz225. z x 431 8HoltHoltAlgebraAlgebra 11/12/06 5:09:17 PMProcess Black
NameLESSON1-4DateClassPractice BPowers and ExponentsWrite the power represented by each geometric model.1.2.3.5572333Evaluate each expression.4. 2 45. ( 3) 36.24 27167. 3 25 58. ( 10) 4259. 34 910,000243216Write each number as a power of the given base.10. 16; base 211. 1,000,000; base 1010 624( 6) 38 ; base215.27314. 256; base 413. 2401; base 7712. 216; base 64( 4)4 3 2316. Anna needed to let everyone in the music club know the timeof its next meeting. She called two people and asked each ofthem to call two other people, and so on. If each phone call takesone minute, how many phone calls were made during the fifth minute?2 5 32Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L04.indd 44Holt Algebra 11/12/06 5:11:25 PMProcess Black
NameDateLESSON1-5ClassPractice BSquare Roots and Real NumbersFind each square root. 2. 兹361. 兹1443.49兹11 612 7 兹46. 255. 兹644. 兹196 8142 57. A contractor needs to cut a piece of glass to fit a square2window. The area of the window is 12 ft . Find the lengthof the side of the window to the nearest tenth of a foot.3.5 feet8. A piece of cloth must be cut to exactly cover a square table.The area of the table is 27 ft 2. Find the length of the side ofthe table to the nearest tenth of a foot.5.2 feetWrite all the classifications that apply to each real number. 210.39. 兹2Q,irrationalrepeating decimal 12. 兹8111. –10Z, Q,N, W, Z, Q,terminating decimalterminating decimal13. 014. 1W, Z, Q,N, W, Z, Q,terminating decimalterminating decimalCopyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L05.indd 55Holt Algebra 11/12/06 5:09:27 PMProcess Black
NameLESSON1-6DateClassPractice BOrder of OperationsSimplify each expression.1. 18 12 4 22. 5 3 2 4 223. 2[ 7 6 3 5 ]235. 6 3 3 4 2 3 4. 7 2 4 8 9106. 16 4 2 13 4 6 2Evaluate each expression for the given value of the variable.7. 3 y 2 7 for y 58. 3 x 12 2 for x 8 15 481 t for t 1010. 5t 12 29. m 6 2 5 for m 9 567Translate each word phrase into a numerical or algebraic expression.6 3 20 11. the product of 6 and the sum of 3 and 2012. the absolute value of the difference of m and 1513. the quotient of 18 and the sum of 2 and dDegrees Fahrenheit F can be converted to degrees Celsius C using5 F 32 . Degrees Celsius can be converted tothe expression99C 32.degrees Fahrenheit using the expression514. The hottest recorded day in Florida history was 109 F,which occurred on June 29, 1931 in Monticello. Convert thistemperature to degrees Celsius. Round your answerto the nearest tenth of a degree.15. The coldest recorded day in Florida history was about 18.9 C,which occurred on February 13, 1899 in the city of Tallahassee.Convert this temperature to degrees Fahrenheit. Roundyour answer to the nearest tenth of a degree.Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L06.indd 66 m 15 18 2 d42.8 C 2.0 FHolt Algebra 11/12/06 5:09:40 PMProcess Black
NameLESSON1-7DateClassPractice BSimplifying ExpressionsSimplify each expression.1. 18 9 1 122. 7 15 211 11 53. 3 4224. 5 7 205. 12 3 12 196. 1 5 9 2Write each product using the Distributive Property. Then simplify.7. 14 12 9. 4 106 8. 5 47 Simplify each expression by combining like terms.10. 16x 27x11. 4m 12m2212. 6t 2t13. 5w 3 18w 314. 4p 7p 215. 2.6d 3.4dSimplify each expression. Justify each step.16. 4 x 9 5x17. 12d 3 14d 18Give an expression in simplified form for the perimeter of each figure.18.19.3x3 x 2 36x4x 842xCopyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L07.indd 77Holt Algebra 16/9/06 11:24:57 AM
NameLESSON1-8DateClassPractice BIntroduction to Functions10yM8Graph each point.T641. G (2, 2)2. M (3, 8)3. X (4, 7)4. L ( 6, 1)G2K 10 8 6 4 2L 2246x108 45. K (8, 0) 66. T ( 2, 5)X 8 1010Name the quadrant in which each point lies.yA8D6QI7. A8. BQ IIB42Q III9. C10. DQI 10 8 6 4 2C 2246x108 4Q IV11. E12. FnoneE 6 8F 1013. Generate ordered pairs for y x 4 using x 2, 3, 4, 5 and 6.Graph the ordered pairs and describe the pattern.10InputOutputOrderedPairxy(x, y)423456y 2 4 2y 3 4 1y 4 4 0y 5 4 1y 6 4 2(2, 2)(3, 1)(4, 0)(5, 1)(6, 2)2y86 10 8 6 4 2 22468x10 4 6 8 10The points form a V-shape.1 the14. The number of chaperones at a school field trip must be5number of students attending, plus the 2 teacher sponsors. Writea rule for the number of chaperones that must be on the trip.Write ordered pairs to represent the number of chaperones thatmust attend the trip when there are 120, 150, 200, and 210 students.1 x 2; (120, 26), (150, 32), (200, 42), (210, 44)y 5Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C01L08.indd 88Holt Algebra 11/12/06 5:09:03 PMProcess Black
NameLESSON2-1DateClassPractice BSolving Equations by Adding or SubtractingSolve each equation. Check your answers.1. g 7 152. t 4 6g 224. x 3.4 9.1x 5.77. 6 k 32k 3810. y 57 40y 17t 23 15. n 881n 28. 7 w 9.3w 2.311. 5.1 b 7.1b 23. 13 m 7m 201 26. p 33p 19. 8 r 12r 412. a 15 15a 013. Marietta was given a raise of 0.75 an hour, which brought her hourly wage to 12.25. Write and solve an equation to determine Marietta’s hourly wage beforeher raise. Show that your answer is reasonable.x 0.75 12.25; 11.50; Marietta received a raise, so her previouswage should be less than 12.25.1 inches this year and is now 567 inches tall. Write and solve an14. Brad grew 448equation to find Brad’s height at the start of the year. Show that your answeris reasonable.5 in.; Brad’s height increased, so his1 567; 52x 44887 inches.previous height should be less than 56815. Heather finished a race in 58.4 seconds, which was 2.6 seconds less thanher practice time. Write and solve an equation to find Heather’s practice time.Show that your answer is reasonable.x 2.6 58.4; 61 s; Heather’s race time was less than her practice time,so her practice time should be greater than 58.4 s.16. The radius of Earth is 6378.1 km, which is 2981.1 km longer than the radius ofMars. Write and solve an equation to determine the radius of Mars. Show thatyour answer is reasonable.x 2981.1 6378.1; 3397 km; Earth is larger than Mars, so the radiusof Mars should be less than 6378.1 km.Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L01.indd 99Holt Algebra 11/12/06 5:12:53 PMProcess Black
NameLESSON2-2DateClassPractice BSolving Equations by Multiplying or DividingSolve each equation. Check your answers.d 6n1.2. 5 82d 48 t 124.23. 2p 54n 105. 40 4xt 24y 7r 249. 9m 62m 3n 25b11. 2.8 4v 610. 3 166. 2r3x 103n8. 15 57. 49 7yp 27v 183r 112.481r 6b 11.2Answer each of the following.13. The perimeter of a regular pentagonis 41.5 cm. Write and solve an equationto determine the length of each sideof the pentagon.5x 41.5; 8.3 cm14. In June 2005, Peter mailed a packagefrom his local post office in Fayetteville,North Carolina to a friend in Radford,Virginia for 2.07. The first-class rate atthe time was 0.23 per ounce. Write andsolve an equation to determine the weightof the package.0.23x 2.07; 9 oz15. Lola spends one-third of her allowanceon movies. She spends 8 per weekat the movies. Write and solve an equationto determine Lola’s weekly allowance.Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L02.indd 10101 x 8; 243Holt Algebra 11/12/06 5:14:33 PMProcess Black
NameLESSON2-3DateClassPractice BSolving Two-Step and Multi-Step EquationsSolve each equation. Check your answers.1. 4x 7 112. 17 5y 3x 14. 3m 4 1y 45. 12.5 2g 3.5m 1y7. 6 45g 87 2n 18.991n 3y 5010. (x 10) 711. 2(b 5) 6x 3b 23. 4 2p 10p 76. 13 h 7h 64 t 2 29. 5531t 312. 8 4(q 2) 4q 313. If 3x 8 2, find the value of x 6. 414. If 2(3y 5) 4, find the value of 5y. 5Answer each of the following.15. The two angles shownform a right angle.Write and solve an(3x 5) equation to find thevalue of x.(2x) 3x 5 2x 90; 1916. For her cellular phone service, Vera pays 32 amonth, plus 0.75 for each minute over theallowed minutes in her plan. Vera received a billfor 47 last month. For how many minutes didshe use her phone beyond the allowed minutes?Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L03.indd 111120 minutesHolt Algebra 11/12/06 5:12:37 PMProcess Black
NameLESSON2-4DateClassPractice BSolving Equations with Variables on Both SidesSolve each equation. Check your answers.1. 3d 8 2d 172. 2n 7 5n 10d 254. t 5 t 19n 15. 15x 10 9x 21x 2t 127. 2y 3 3(y 7)8. 4n 6 2n 2(n 3)y 1810. v 5 6v 1 5v 3all real numbers11. 2(3b 4) 8b 11no solution3b 23. p 15 13 6pp 46. 1.8r 9 5.7r 6r 29. 6m 8 2 9m 1m 312. 5(r 1) 2(r 4) 6r 3Answer each of the following.13. Janine has job offers at two companies. Onecompany offers a starting salary of 28,000 witha raise of 3000 each year. The other companyoffers a starting salary of 36,000 with a raise of 2000 each year.a. After how many years would Janine’s salary bethe same with both companies?8 yearsb. What would that salary be? 52,00014. Xian and his cousin both collect stamps. Xian has56 stamps, and his cousin has 80 stamps. Both haverecently joined different stamp-collecting clubs. Xian’sclub will send him 12 new stamps per month, and hiscousin’s club will send him 8 new stamps per month.a. After how many months will Xian and his cousinhave the same number of stamps?128 stampsb. How many stamps will that be?Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L04.indd 126 months12Holt Algebra 11/12/06 5:13:34 PMProcess Black
NameLESSON2-5DateClassPractice BSolving for a VariableAnswer each of the following.1. The formula C 2 r relates the radius rof a circle to its circumference C. Solvethe formula for r.2. The formula y mx b is called theslope-intercept form of a line. Solve thisformula for m.y bm xCr 2 Solve each equation for the variable indicated.3. 4c d for c4. n 6m 8 for ndc 46. 10 xy z for x 10 zx yn 8 6ma c for b7.bab c5. 2p 5r q for pq 5rp 2 4 k for j8. hjh 4j kAnswer each of the following.9. The formula c 5p 215 relates c, the total costin dollars of hosting a birthday party at a skatingrink, to p, the number of people attending.a. Solve the formula c 5p 215 for p.b. If Allie’s parents are willing to spend 300 fora party, how many people can attend?c 215p 5171bh,10. The formula for the area of a triangle is A 2where b represents the length of the base and hrepresents the height.2Ab h1bh for b.a. Solve the formula A 2b. If a triangle has an area of 192 mm 2, and theheight measures 12 mm, what is the measureof the base?Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L05.indd 131332 mmHolt Algebra 11/12/06 5:13:47 PMProcess Black
NameLESSON2-6DateClassPractice BRates, Ratios, and Proportions1. The ratio of freshman to sophomores in a drama clubis 5:6. There are 18 sophomores in the drama club.How many freshmen are there?15Find each unit rate.2. Four pounds of apples cost 1.96.3. Sal washed 5 cars in 50 minutes. 0.49/lb0.1 cars/min4. A giraffe can run 32 miles per hour. What is thisspeed in feet per second? Round your answerto the nearest tenth.46.9 ft/sSolve each proportion.y105. 483 247. m12302 6.x 6m 96x 0.4y 532b 49. 433t18. 1025t 37 110.x0.5b 20x 3.511. Sam is building a model of an antique car. The scale of his1 inches long.model to the actual car is 1:10. His model is 182How long is the actual car?185 in.12. The scale on a map of Virginia shows that 1 centimeterrepresents 30 miles. The actual distance from Richmond,VA to Washington, DC is 110 miles. On the map, how manycentimeters are between the two cities? Round your answerto the nearest tenth.3.7 cmCopyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L06.indd 1414Holt Algebra 11/12/06 5:14:05 PMProcess Black
NameDateClassPractice BLESSON2-7Applications of ProportionsFind the value of x in each diagram.1. ABC DEF2. FGHJK MNPQRDAPx cmF27 cm9 cmC5 cmQ8 cmKBEx cmFG5 cmNJ2 cmRHM3. A utility worker is 5.5 feet tall and is casting a shadow4 feet long. At the same time, a nearby utility pole castsa shadow 20 feet long. Write and solve a proportion tofind the height of the utility pole.4. A cylinder has a radius of 3 cm and a length of 10 cm.Every dimension of the cylinder is multiplied by 3 to forma new cylinder. How is the ratio of the volumes related tothe ratio of corresponding dimensions?5. A rectangle has an area of 48 in 2. Every dimension ofthe rectangle is multiplied by a scale factor, and the2new rectangle has an area of 12 in .What was the scale factor?Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L07.indd 1515Holt Algebra 16/9/06 11:25:34 AM
NameLESSON2-8DateClassPractice BPercentsWrite each percent as a decimal and as a fraction.1. 17%2. 22%3. 68%0.170.220.6817111710050254. 2.5%1%6.25. 140%0.0251.40.005171405200Write each decimal or fraction as a percent.1328%7. 0.288.5026%190%199.10Find each value. Round to the nearest tenth if necessary.10. 3% of 10011. 100% of 33312. 80% of 12013. 115% of 6966.914. What percent of 128 is 32?15. 3 is what percent of 36?8.3%25%16. 23.7 is 30% of what number?1 % of what number is 12?17. 727916018. According to the US Census, Virginia had about7.1 million residents in 2000. Of those, 24.6% wereunder age 18. To the nearest tenth of a million, howmany Virginia residents were under age 18 in 2000?1.7 million19. A CD-ROM has 700 megabytes of storage space.What percent of the space is used by a file that takesup 154 megabytes?22%Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L08.indd 1616Holt Algebra 11/12/06 5:14:24 PMProcess Black
NameLESSON2-9DateClassPractice BApplications of PercentsSolve each problem.1. Mr. Holtzclaw sells his home for 240,000.He must pay the real estate agents a 5%commission. How much is the commission?2. A textbook salesperson is paid a base salaryof 35,000 plus a 3% commission on sales.Her total sales last year were 620,000. Findher total pay last year.3. A music publisher earns a 6.75% commission onthe money made from the use of a song on a CD.If the music publisher earns 84,375, how muchmoney was made from the use of the song?4. Find the simple interest earned after 5 yearson 1200 invested at 2% annual interest rate.5. After 6 months, 1.78 simple interest wasearned on an investment of 890. Find theannual interest rate.6. Ms. Pecho currently owes 637.50 simple intereston a loan of 2500 at an annual interest rate of17%. How long has she had the loan?7. The lunch check for Tawfiq and Helen is 16.98.Estimate the tip using a rate of 15%.8. The state sales tax rate in North Carolina is 4.5%.Estimate the state sales tax on a model of theWright Brothers’ airplane that costs 139.99.9. A wedding reception is held at a restaurant inMississippi. The food and drinks cost 1492.50.The state sales tax rate is 7%, and the restaurantautomatically adds a 20% tip for large parties.a. Estimate the state sales tax.b. Estimate the tip.c. Estimate the total bill for food, drinks, tax, and tip.Copyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L09.indd 1717Holt Algebra 16/9/06 11:26:07 AM
NameLESSONDateClassPractice B2-10 Percent Increase and DecreaseFind each percent change. Tell whether it is a percent increase or decrease.1. 8 to 102. 50 to 2025% increase3. 120 to 5460% decrease4. 12 to 965. 72 to 108700% increase55% decrease6. 2 to 1.350% increase35% decreaseSolve each problem.7. Find the result when 20 isincreased by 35%.8. Find the result when 40 isincreased by 64%.2765.69. Find the result when 68 isdecreased by 25%.10. Find the result when 120 isdecreased by 15%.1025111. A pharmacy discount card gives the user 40% offprescriptions. Mr. Allen’s cholesterol medicationnormally costs 96.50. What is the final price withthe discount card? 57.9012. A gas station purchases fuel at a wholesale priceof 1.75 per gallon. The price is marked up 8%.What is the selling price per gallon? 1.8913. San Francisco’s Bay Area Rapid Transit (BART)sells 48 tickets at a discount price of 45. Whatis the percent discount?6.25%14. A recording company sells a music CD for thewholesale price of 12.75. A record store marksup the price to 19.89. What is the markup asa percent?56%Find each missing number.6015. 50 increased by 20% is20016. 10 increased by17. 200 decreased by 55% is2518. 60 decreased byCopyright by Holt, Rinehart and Winston.All rights reserved.A1CRB07C02L10.indd 18.% is 30.90.% is 45.18Holt Algebra 11/12/06 5:14:14 PMProcess Black
NameDateClassPractice BLESSON3-1Graphing and Writing InequalitiesDescribe the solutions of each inequality in words.all real numbers greater than or equal to 31. 2m 62. t 3 8all real numbers less than 53. 1 x 5all real numbers greater than 61c4. 10 2all real numbers less than or equal to 20Graph each inequality.5. x 76. p 237. 4.5 r8. y 兹 14 5 Write the inequality shown by each graph.9. 10. a 611. b ⱕ 212. c 8.5d ⱖ 45Define a variable and write an inequality for each situation. Graph thesolutions.13. Josephine sleeps more than 7 hours each night.s hours of sleep; s 7;14. In 1955, the minimum wage in the U.S. was 0.75 per hour.w wage; w ⱖ 0.75;Copyright by Holt, Rinehart and Winston.All rights reserved.a107c03-1 pr.indd 1919Holt Algebra 11/12/06 5:15:47 PMProcess Black
NameLESSON3-2DateClassPractice BSolving Inequalities by Adding or SubtractingSolve each inequality and graph the solutions.1. b 8 152. t 5 ⱖ 2tⱖ3b 73. 4 x ⱖ 14. g 8 2xⱖ5g 65. 9 ⱖ m 96. 15 d 19mⱕ0d 4Answer each question.7. Jessica makes overtime pay when she worksmore than 40 hours in a week. So far this weekshe has worked 29 hours. She will continue towork h hours this week. Write, solve, and graphan inequality to show the values of h that willallow Jessica to earn overtime pay.8. Henry’s MP3 player has 512MB of memory.He has already downloaded 287MB and willcontinue to download m more megabytes.Write and solve an inequality that shows howmany more megabytes he can download.9. Eleanor needs to read at least 97 pages of abook for homework. She has read 34 pagesalready. Write and solve an inequality thatshows how many more pages p she must read.Copyright by Holt, Rinehart and Winston.All rights reserved.a107c03-2 pr.indd 202029 h 40; h 11287 m ⱕ 512; m ⱕ 22534 p ⱖ 97; p ⱖ 63Holt Algebra 11/12/06 5:15:05 PMProcess Black
NameLESSON3-3DateClassPractice BSolving Inequalities by Multiplying or DividingSolve each inequality and graph the solutions.1. 4a 322. 7y 21a 8y 30 9 8 7 6 5 4 3 2 112334. c ⱖ 983. 1.5n ⱕ 18n 12c 24 18 17 16 15 14 13 12 11 10 9 8 7 6 30 29 28 27 26 25 24 23 22 21 20 19 18y5. 456. 2s ⱕ 3y 20s 1.5 1.514 15 16 17 18 19 20 21 22 23 24 25 26 7 6 5 4 3 2 11b 67. 301234545678z ⱖ 0.258. 8b 18z 212 13 14 15 16 17 18 19 20 21 22 23 24 4 3 2 10123Write and solve an inequality for each problem.9. Phil has a strip of wood trim that is 16 feet long. He needs 5-foot piecesto trim some windows. What are the possible numbers of pieces he can cut?5p 16; p 3.2; 0, 1, 2, or 3 pieces10. A teacher buys a 128-ounce bottle of juice and serves it in5-ounce cups. What are the possible numbers of cups she can fill?5s 128; s 25.6; 0 to 25 cups11. At an online bookstore, Kendra bought 4 copies of the same bookfor the members of her book club. She got free shipping because hertotal was at least 50. What was the minimum price of each book?4b 50; b 12.50; 12.50 eachCopyright by Holt, Rinehart and Winston.All rights reserved.a107c03-3 pr.indd 2121Holt Algebra 15/16/06 4:57:20 PMProcess Black
NameDateClassPractice BLESSON3-4Solving Two-Step and Multi-Step InequalitiesSolve each inequality and graph the solutions.1. 3a 10 112. 4x 12 20a 7 xⱖ8 3 73. 2k 5 1x 12 6. 10 2 3x 4 11nⱖ5 5. 6 n 8 18 2z ⱖ 63 1 z 2 24. 53k 16 8. 15p 3 p 1 3 2 3 7. 7 2c 4 2 91p 12cⱕ0 Write and solve an inequality for each problem.9. A full-year membership to a gym costs 325 upfront with no monthlycharge. A monthly membership costs 100 upfront and 30 per month.For what numbers of months is it less expensive to have a monthly membership?30m 100 325; m 7.5; 1, 2, 3, 4, 5, 6, or 7 months10. The sum of the lengths of any two sides of a triangle mustbe greater than the length of the third side. What are thepossible values of x for this triangle? X CM X CM CMx 5 3x 40; x 8.75Copyright by Holt, Rinehart and Winston.All rights reserved.a107c03-4 pr.indd 2222Holt Algebra 11/12/06 5:15:34 PMProcess Black
NameLESSON3-5DateClassPractice BSolving Inequalities with Variables on Both SidesSolve each inequality and graph the solutions.1. 2x 30 ⱖ 7x2. 2k 6 5k 3xⱕ6k 33. 3b 2 ⱕ 2b 14. 2 3n 7 5nbⱕ3n 145. 5s 9 2 s 6 6. 3 3x 5 ⱖ 5 2x 2 s 1x ⱖ 257 p 1 ⱕ1p8.8427. 1.4z 2.2 2.6z 0.22p ⱕ3z 2Solve each inequality.9. v 1 v 6all real numbers10. 3 x 4 ⱕ 3x11. 2 8 3x ⱖ 6x 2no solutionsno solutionsWrite and solve an inequality for each problem.12. Ian wants to promote his band on the Internet. Site A offers websitehosting for 4.95 per month with a 49.95 startup fee. Site B offerswebsite hosting for 9.95 per month with no startup fee. For howmany months would Ian need to keep the website for Site B to be lessexpensive than Site A?9.95m 4.95m 49.95; m 9.99; for 0 to 9 months13. For what values of x is the area of the rectangle greater thanthe perimeter?7 x 2 7 x 2 7 x 2 ; x 0.8Copyright by Holt, Rinehart and Winston.All rights reserved.a107c03-5 pr.indd 2323 X Holt Algebra 11/12/06 5:16:20 PMProcess Black
NameLESSON3-6DateClassPractice BSolving Compound InequalitiesWrite the compound inequality shown by each graph.1. 2. 2 x 43. x 3 OR x ⱖ 34. x ⱕ 15 OR x ⱖ 8 0 ⱕ x 20Solve each compound inequality and graph the solutions.5. 15 x 8 46. 12 ⱕ 4n 28 7 x 43ⱕn 77. 2 ⱕ 3b 7 ⱕ 138. x 3 3 OR x 3 ⱖ 3–3 ⱕ b ⱕ 2x 0 OR x ⱖ 69. 5k ⱕ 20 OR 2k ⱖ 810. 2s 3 ⱕ 7 OR 3s 5 26k ⱕ 4 OR k ⱖ 4s ⱕ 2 OR s 7Write a compound inequality for each problem. Graph the solutions.20 ⱕ h ⱕ 20,00011. The human ear can distinguish soundsbetween 20 Hz and 20,000 Hz, inclusive.12. For a man to box as a welterweight, he mustweigh more than 140 lbs, but at most 147 lbs.Copyright by Holt, Rinehart and Winston.All rights reserved.a107c03-6 pr.indd 2424140 w ⱕ 147Holt Algebra 11/12/06 5:16:08 PMProcess Black
NameLESSON4-1DateClassPractice BGraphing RelationshipsChoose the graph that best represents each situation.(EIGHT(EIGHT'RAPH #4IME(EIGHT'RAPH "'RAPH !4IME4IMEGraph C1. A tomato plant grows taller at a steady pace.2. A tomato plant grows quickly at first, remainsa constant h
Holt Algebra 1 - Sr. Mai @ St. J
