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NOMBRE1FECHAPERÍODOEjercicios preparatoriosExpressions, Equations, and FunctionsPaso 1Antes de comenzar el Capítulo 1 Lee cada enunciado. Decide si estás de acuerdo (A) o en desacuerdo (D) con el enunciado. Escribe A o D en la primera columna O si no estás seguro(a) de la respuesta,escribe NS (No estoy seguro(a)).PASO 1A, D o NSPASO 2AoDEnunciado1. Una expresión matemática contiene uno o más números,variables y operaciones aritméticas.2. La expresión x4 significa x x x x.3. Según el orden de las operaciones, se debe realizar toda multiplicación y división antes que cualquier otra operación.4. Puesto que 2 hace verdadera la ecuación 3t - 1 5 , {2} es elconjunto solución para la ecuación.5. Debido a la propiedad reflexiva de la igualdad, si a b centonces c a b.16. El inverso multiplicativo de 23 es .238. El orden en el cual sumas o multiplicas números no altera susuma o su producto.9. Una gráfica tiene simetría en una línea si cada uno la mitad dela gráfica a cada lado de la línea corresponde exactamente.10. En el plano de coordenadas, el eje x es horizontal y el eje yes vertical.Paso 2Después de completar el Capítulo 1 Vuelve a leer cada enunciado y completa la última columna con una A o una D. ¿Cambió cualquiera de tus opiniones sobre los enunciados de la primera columna? En una hoja de papel aparte, escribe un ejemplo de por qué estás en desacuerdo con losenunciados que marcaste con una D.Capítulo 14Álgebra 1 de GlencoeCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7. La propiedad distributiva dice que a(b c) es igual a ab c.

NAME1-1DATEPERIODStudy Guide and InterventionVariables and ExpressionsWrite Verbal Expressions An algebraic expression consists of one or morenumbers and variables along with one or more arithmetic operations. In algebra, variablesare symbols used to represent unspecified numbers or values. Any letter may be used as avariable.ExampleWrite a verbal expression for each algebraic expression.Lesson 1-1a. 6n2the product of 6 and n squaredb. n3 - 12mthe difference of n cubed and twelve times mExercisesCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Write a verbal expression for each algebraic expression.1. w - 11 32. a3. 81 2x4. 12d5. 846. 627. 2n2 48. a3 ․ b39. 2x3 - 3336k10. 51 211. b12. 7n513. 3x 42 514. k15. 3b2 2a316. 4(n2 1)Chapter 1543Glencoe Algebra 1

NAME1-1DATEPERIODStudy Guide and Intervention (continued)Variables and ExpressionsWrite Algrebraic ExpressionsTranslating verbal expressions into algebraicexpressions is an important algebraic skill.ExampleWrite an algebraic expression for each verbal expression.a. four more than a number nThe words more than imply addition.four more than a number n4 nThe algebraic expression is 4 n.b. the difference of a number squared and 8The expression difference of implies subtraction.the difference of a number squared and 8n2 - 8The algebraic expression is n2 - 8.ExercisesWrite an algebraic expression for each verbal expression.1. a number decreased by 82. a number divided by 83. a number squaredCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.4. four times a number5. a number divided by 66. a number multiplied by 377. the sum of 9 and a number8. 3 less than 5 times a number9. twice the sum of 15 and a number10. one-half the square of b11. 7 more than the product of 6 and a number12. 30 increased by 3 times the square of a numberChapter 16Glencoe Algebra 1

NAME1-1DATEPERIODSkills PracticeVariables and Expressions1. 9a22. 523. c 2d4. 4 - 5h5. 2b26. 7x3 - 17. p4 6r8. 3n2 - xLesson 1-1Write a verbal expression for each algebraic expression.Write an algebraic expression for each verbal expression.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.9. the sum of a number and 1010. 15 less than k11. the product of 18 and q12. 6 more than twice m13. 8 increased by three times a number14. the difference of 17 and 5 times a number15. the product of 2 and the second power of y16. 9 less than g to the fourth powerChapter 17Glencoe Algebra 1

NAME1-1DATEPERIODPracticeVariables and ExpressionsWrite a verbal expression for each algebraic expression.1. 23f2. 733. 5m2 24. 4d3 - 105. x3 ․ y46. b2 - 3c3k57. 4n8. 276Write an algebraic expression for each verbal expression.9. the difference of 10 and u10. the sum of 18 and a number12. 74 increased by 3 times y13. 15 decreased by twice a number14. 91 more than the square of a number15. three fourths the square of b16. two fifths the cube of a number17. BOOKS A used bookstore sells paperback fiction books in excellent condition for 2.50 and in fair condition for 0.50. Write an expression for the cost of buying xexcellent-condition paperbacks and f fair-condition paperbacks.18. GEOMETRY The surface area of the side of a right cylinder can be found by multiplyingtwice the number π by the radius times the height. If a circular cylinder has radius rand height h, write an expression that represents the surface area of its side.Chapter 18Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.11. the product of 33 and j

NAME1-1DATEPERIODWord Problem PracticeVariables and Expressions5. BLOCKS A toy manufacturer produces aset of blocks that can be used by childrento build play structures. The productpackaging team is analyzing differentarrangements for packaging their blocks.One idea they have is to arrange theblocks in the shape of a cube, withb blocks along one edge.2. TECHNOLOGY There are 1024 bytes ina kilobyte. Write an expression thatdescribes the number of bytes in acomputer chip with n kilobytes.Lesson 1-11. SOLAR SYSTEM It takes Earth about365 days to orbit the Sun. It takesUranus about 85 times as long. Write anumerical expression to describe thenumber of days it takes Uranus to orbitthe Sun.bbCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ba. Write an expression representing thetotal number of blocks packaged in acube measuring b blocks on one edge.3. THEATER H. Howard Hughes, ProfessorEmeritus of Texas Wesleyan College andhis wife Erin Connor Hughes attended arecord 6136 theatrical shows. Write anexpression for the average number ofshows they attended per year if theyaccumulated the record over y years.b. The packaging team decides to takeone layer of blocks off the top of thispackage. Write an expressionrepresenting the number of blocks inthe top layer of the package.4. TIDES The difference between high andlow tides along the Maine coast inNovember is 19 feet on Monday andx feet on Tuesday. Write an expression toshow the average rise and fall of the tidefor Monday and Tuesday.Chapter 1c. The team finally decides that theirfavorite package arrangement is totake 2 layers of blocks off the top of acube measuring b blocks along oneedge. Write an expression representingthe number of blocks left behind afterthe top two layers are removed.9Glencoe Algebra 1

NAME1-1DATEPERIODEnrichmentToothpick TrianglesVariable expressions can be used to represent patterns and help solve problems. Considerthe problem of creating triangles out of toothpicks shown below.Figure 1Figure 2Figure 31. How many toothpicks does it take to create each figure?2. How many toothpicks does it take to make up the perimeter of each image?3. Sketch the next three figures in the pattern.Image Number123Number of toothpicks357Number of toothpicks inPerimeter345456789105. Let the variable n represent the figure number. Write an expression that can be used tofind the number of toothpicks needed to create figure n.6. Let the variable n represent the figure number. Write an expression that can be used tofind the number of toothpicks in the perimeter of figure n.Chapter 110Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.4. Continue the pattern to complete the table.

NAMEDATE1-2PERIODStudy Guide and InterventionOrder of OperationsEvaluate Numerical Expressions Numerical expressions often contain more thanone operation. To evaluate them, use the rules for order of operations shown below.StepStepStepStepExample 11234Evaluate expressions inside grouping symbols.Evaluate all powers.Do all multiplication and/or division from left to right.Do all addition and/or subtraction from left to right.Evaluate each expression.a. 3434 3 ․ 3 ․ 3 ․ 3 81Use 3 as a factor 4 times.b. 6363 6 ․ 6 ․ 6 216Use 6 as a factor 3 times.Example 2Evaluate each expression.a. 3[2 (12 3)2]3[2 (12 3)2] 3(2 42) Divide 12 by 3. 3(2 16) Find 4 squared. 3(18)Add 2 and 16. 54Multiply 3 and 18.3 23b. 2Multiply.4 ·3Multiply.3 234 ·33 84 ·311 42 · 311 16 · 311 48Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 22Evaluate power in numerator.Add 3 and 8 in the numerator.Evaluate power in denominator.Multiply.ExercisesEvaluate each expression.1. 522. 333. 1044. 1225. 836. 287. (8 - 4) ․ 28. (12 4) ․ 69. 10 8 ․ 110. 15 - 12 411. 12(20 - 17) - 3 ․ 613. 32 3 22 ․ 7 - 20 514. · 42 - 8 216. 2 17. (5 2) · 2Chapter 112. 24 3 ․ 2 - 324 3212 115. 250 [5(3 ․ 7 4)]4(52) - 4 · 34(4 · 5 2)5 -318. 11220(3) 2(3)Glencoe Algebra 1Lesson 1-2Order ofOperations

NAMEDATE1-2PERIODStudy Guide and Intervention (continued)Order of OperationsEvaluate Algebraic ExpressionsAlgebraic expressions may contain more than oneoperation. Algebraic expressions can be evaluated if the values of the variables are known.First, replace the variables with their values. Then use the order of operations to calculatethe value of the resulting numerical expression.ExampleEvaluate x3 5(y - 3) if x 2 and y 12.x3 5( y - 3) 23 5(12 - 3)Replace x with 2 and y with 12. 8 5(12 - 3)Evaluate 23. 8 5(9)Subtract 3 from 12. 8 45Multiply 5 and 9. 53Add 8 and 45.The solution is 53.Exercises34Evaluate each expression if x 2, y 3, z 4, a , and b .552. 3x - 53. x y24. x3 y z25. 6a 8b6. 23 - (a b)8. 2xyz 59. x(2y 3z)y2x7. 210. (10x)2 100az2 - y2x13. 225ab y16. xz(y)x19. ( z) z2Chapter 12Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. x 711. 3xy - 47x12. a2 2b14. 6xz 5xy15. x5a 2b17. y18. (z x)2 axx z20. y xz x21. yz2(z - y)(y 2z12) ()Glencoe Algebra 1

NAME1-2DATEPERIODSkills PracticeOrder of OperationsEvaluate each expression.1. 822. 343. 534. 335. (5 4) 76. (9 - 2) 37. 4 6 38. 12 2 2Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.10. 9 4(3 1)11. 30 - 5 4 212. 10 2 6 413. 14 7 5 - 3214. 4[30 - (10 - 2) 3]15. 5 [30 - (6 - 1)2]16. 2[12 (5 - 2)2]Lesson 1-29. (3 5) 5 1Evaluate each expression if x 6, y 8, and z 3.17. xy z18. yz - x19. 2x 3y - z20. 2(x z) - y21. 5z ( y - x)22. 5x - ( y 2z)23. x2 y2 - 10z24. z3 ( y2 - 4x)y xz225. Chapter 13y x226. z13Glencoe Algebra 1

NAMEDATE1-2PERIODPracticeOrder of OperationsEvaluate each expression.1. 1122. 833. 544. (15 - 5) ․ 25. 9 ․ (3 4)6. 5 7 ․ 47. 4(3 5) - 5 ․ 48. 22 11 ․ 9 - 329. 62 3 ․ 7 - 910. 3[10 - (27 9)]11. 2[52 (36 6)]2․ 4 - 5 ․ 4213. 5 14. 25(4)12. 162 [6(7 - 4)2](2 ․ 5)2 43 -57 324 ·215. 2Evaluate each expression if a 12, b 9, and c 4.16. a2 b - c217. b2 2a - c218. 2c(a b)19. 4a 2b - c220. (a2 4b) c21. c2 · (2b - a)2c3 - ab23. 24. 2(a - b)2 - 5cb2 - 2c225. 4a c-b26. CAR RENTAL Ann Carlyle is planning a business trip for which she needs to rent a car.The car rental company charges 36 per day plus 0.50 per mile over 100 miles. SupposeMs. Carlyle rents the car for 5 days and drives 180 miles.a. Write an expression for how much it will cost Ms. Carlyle to rent the car.b. Evaluate the expression to determine how much Ms. Carlyle must pay the car rentalcompany.27. GEOMETRY The length of a rectangle is 3n 2 and its width is n - 1. The perimeterof the rectangle is twice the sum of its length and its width.a. Write an expression that represents the perimeter of the rectangle.b. Find the perimeter of the rectangle when n 4 inches.Chapter 114Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.bc2 a22. c

NAME1-2DATEPERIODWord Problem PracticeOrder of Operations5. BIOLOGY Lavania is studying thegrowth of a population of fruit flies in herlaboratory. She notices that the numberof fruit flies in her experiment is fivetimes as large after any six-day period.She observes 20 fruit flies on October 1.Write and evaluate an expression topredict the population of fruit fliesLavania will observe on October 31.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.2. GEOGRAPHY Guadalupe Peak in Texashas an altitude that is 671 feet morethan double the altitude of MountSunflower in Kansas. Write and evaluatean expression for the altitude ofGuadalupe Peak if Mount Sunflower hasan altitude of 4039 feet.6. CONSUMER SPENDING During a longweekend, Devon paid a total of x dollarsfor a rental car so he could visit hisfamily. He rented the car for 4 days at arate of 36 per day. There was anadditional charge of 0.20 per mile afterthe first 200 miles driven.a. Write an algebraic expression torepresent the amount Devon paid foradditional mileage only.3. TRANSPORTATION The Plaid Taxi CabCompany charges 1.75 per passengerplus 3.45 per mile for trips less than10 miles. Write and evaluate anexpression to find the cost for Max totake a Plaid taxi 8 miles to the airport.b. Write an algebraic expression torepresent the number of miles over200 miles that Devon drove therented car.4. GEOMETRY The area of a circle isrelated to the radius of the circle suchthat the product of the square of theradius and a number π gives the area.Write and evaluate an expression for thearea of a circular pizza below.Approximate π as 3.14.c. How many miles did Devon driveoverall if he paid a total of 174 forthe car rental?7 in.Chapter 115Glencoe Algebra 1Lesson 1-21. SCHOOLS Jefferson High School has100 less than 5 times as many studentsas Taft High School. Write and evaluatean expression to find the number ofstudents at Jefferson High School if TaftHigh School has 300 students.

NAME1-2DATEPERIODEnrichmentThe Four Digits ProblemOne well-known mathematics problem is to write expressions for consecutive numbersbeginning with 1. On this page, you will use the digits 1, 2, 3, and 4. Each digit is used onlyonce. You may use addition, subtraction, multiplication (not division), exponents, andparentheses in any way you wish. Also, you can use two digits to make one number, such as12 or 34.Express each number as a combination of the digits 1, 2, 3, and 4.18 35 2(4 1) 32 19 3(2 4) 136 3 20 37 4 21 38 5 22 39 6 23 31 - (4 2)40 7 24 41 8 25 42 9 26 43 42 1310 27 44 11 28 45 12 29 46 13 30 47 14 31 48 15 32 49 16 33 50 17 34 Does a calculator help in solving these types of puzzles? Give reasons for your opinion.Chapter 116Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1 (3 1) - (4 - 2)

NAME1-2DATEPERIODTI-Nspire ActivityUsing the Store KeyWhen evaluating algebraic expressions, it is sometimes helpful to use the store keyon the calculator, especially to check solutions, evaluate several expressions for the samevalues of variables, or evaluate the same expression for multiple values of the variables.Example 1Evaluate a2 - 4a 6 if a 8.First, open a new Calculator page on the TI-Nspire.Then, delete any instances of stored variables byentering CLEARAZ.Store 8 as the value for a.Finally enter the expression, including the variables, to evaluate.Example 2Lesson 1-2Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.The answer is 38.4y5xEvaluate xy - if x 4 and y 12.Enter 4 as the value for x and 12 as the value for y.Evaluate the expression. The TI-Nspire will display the answeras a fraction.228.The answer is 5ExercisesEvaluate each expression if a 4, b 6, x 8, and y 12. Express answers asintegers or fractions.1. bx - ay bb a2x -b4. 22Chapter 12. a[ x (y a)2]2a(x - b)5. - 9bxy173. a3 - (y - b)2 x2b3 - [3(a b2) 5b]y a(x - 1)6. Glencoe Algebra 1

NAMEDATE1-3PERIODStudy Guide and InterventionProperties of NumbersIdentity and Equality PropertiesThe identity and equality properties in the chartbelow can help you solve algebraic equations and evaluate mathematical expressions.Additive IdentityFor any number a, a 0 a.Additive InverseMultiplicative IdentityFor any number a, a (-a) 0.For a

Chapter 1 1 Glencoe Algebra 1 This is an alphabetical list of the key vocabulary terms you will learn in Chapter 1. As you study the chapter