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All Textbook Solutions for PREALGEBRA
To solve "what number is 45% of 350” do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.To solve "what percent of 125 is 25” do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.Understand Percent In the following exercises, write each percent as a ratio. 32% admission rate for the universityUnderstand Percent In the following exercises, write each percent as a ratio. 53.3% rate of college students with student loansIn the following exercises, write as a ration and then as a percent. 13 out of 100 architects are women.In the following exercises, write as a ration and then as a percent. 9 out of every 100 nurses are men.In the following exercises, convert each percent to a fraction. 48%In the following exercises, convert each percent to a fraction. 175%In the following exercises, convert each percent to a fraction. 64.1%In the following exercises, convert each percent to a fraction. 814In the following exercises, convert each percent to a decimal. 6%In the following exercises, convert each percent to a decimal. 23%In the following exercises, convert each percent to a decimal. 128%In the following exercises, convert each percent to a decimal. 4.9%In the following exercises, convert each percent (a) a simplified fraction and (b) a decimal. In 2012, 13.5% of the United States population was age 65 or over. (Source: www.census.gov)In the following exercises, convert each percent (a) a simplified fraction and (b) a decimal. In 2012, 6.5% of the United States population was under 5 years old. (Source: www.census.gov)In the following exercises, convert each percent (a) a simplified fraction and (b) a decimal. When a die is tossed, the probability it will land with an even number of dots on the top side is 50%.In the following exercises, convert each percent (a) a simplified fraction and (b) a decimal. A couple plans to have three children. The probability they will all be girls is 12.5%.In the following exercises, convert each decimal to a percent. 04In the following exercises, convert each decimal to a percent. 0.15In the following exercises, convert each decimal to a percent. 2.82In the following exercises, convert each decimal to a percent. 3In the following exercises, convert each decimal to a percent. 0.003In the following exercises, convert each decimal to a percent. 1.395In the following exercises, convert each decimal to a percent. 34In the following exercises, convert each decimal to a percent. 115In the following exercises, convert each decimal to a percent. 358In the following exercises, convert each decimal to a percent. 29In the following exercises, convert each fraction to a percent. According to the Centers for Disease Control, 25 of adults do not take a vitamin or supplement.In the following exercises, convert each fraction to a percent. According to the Centers for Disease Control, among adults who do take a vitamin or supplement, 34 take a multivitamin.In the following exercises, translate and solve. What number is 46% of 350?In the following exercises, translate and solve. 120% of 55 is what number?In the following exercises, translate and solve. 84 is 35% of what number?In the following exercises, translate and solve. 15 is 8% of what number?In the following exercises, translate and solve. 200% of what number is 50?In the following exercises, translate and solve. 7.9% of what number is $4.74?In the following exercises, translate and solve. What percent of 120 is 81.6?In the following exercises, translate and solve. What percent of 340 is 595?Solve General Applications of Percents In the following exercises, solve. When Aurelio and his family ate dinner at a restaurant, the bill was $83.50. Aurelio wants to leave 20% of the total bill as a tip. How much should the tip be?Solve General Applications of Percents In the following exercises, solve. One granola bar has 2 grams of fiber, which is 8% of the recommended daily amount. What is the total recommended daily amount of fiber?Solve General Applications of Percents In the following exercises, solve. The nutrition label on a package of granola bars says that each granola bar has 190 calories, and 54 calories are from fat. What percent of the total calories is from fat?Solve General Applications of Percents In the following exercises, solve. Elsa gets paid $4,600 per month. Her car payment is $253. What percent of her monthly pay goes to her car payment?Solve General Applications of Percents In the following exercises, solve. Jorge got a raise in his hourly pay, from $19.00 to $19.76. Find the percent increase.Solve General Applications of Percents In the following exercises, solve. Last year Bernard bought a new car for $30,000. This year the car is worth $24,000. Find the percent decrease.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the sales tax (b) the total cost. The cost of a lawn mower was $750. The sales tax rate is 6% of the purchase price.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the sales tax (b) the total cost. The cost of a water heater is $577. The sales tax rate is 8.75% of the purchase price.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the sales tax rate. Andy bought a piano for $4,600. The sales tax on the purchase was $333.50.In the following exercises, find the sales tax rate. 377. Nahomi bought a purse for $200. The sales tax on the purchase was $16.75Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the commission. Ginny is a realtor. She receives 3% commission when she sells a house. How much commission will she receive for selling a house for $380,000?Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the commission. Jackson receives 16.5% commission when he sells a dinette set. How much commission will he receive for selling a dinette set for $895?Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the commission. Ruben received $675 commission when he sold a $4,500 painting at the art gallery where he works. What was the rate of commission?Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the rate of commission. Tori received $80.75 for selling a $950 membership at her gym. What was her rate of commission?Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the sale price. Aya bought a pair of shoes that was on sale for $30 off. The original price of the shoes was $75.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the sale price. Takwanna saw a cookware set she liked on sale for $145 off. The original price of the cookware was $312.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the amount of discount and (b) the sale price. Nga bought a microwave for her office. The microwave was discounted 30% from an original price of $84.90.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the amount of discount and (b) the sale price. Jarrett bought a tie that was discounted 65% from an original price of $45.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the amount of discount (b) the discount rate. (Round to the nearest tenth of a percent if needed.) Hilda bought a bedspread on sale for $37. The original price of the bedspread was $50.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the amount of discount (b) the discount rate. (Round to the nearest tenth of a percent if needed.) Tyler bought a phone on sale for $49.99. The original price of the phone was $79.99.Solve Sales Tax, Commission, and Discount Applications In the following exercises, find the amount of the mark-up (b) the list price388. Manny paid $0.80 a pound for apples. He added 60% mark¬up before selling them at his produce stand. What price did he charge for the apples?Solve Sales Tax, Commission, and Discount Applications In the following exercises, find (a) the amount of the mark-up (b) the list price It cost Noelle $17.40 for the materials she used to make a purse. She added a 325% mark¬up before selling it at her friend's store. What price did she ask for the purse?Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Find the simple interest earned after 4 years on $2,250 invested at an interest rate of 5%.Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Find the simple interest earned after 7 years on $12,000 invested at an interest rate of 8.5%Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Find the principal invested if $660 interest was earned in 5 years at an interest rate of 3%.Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Find the interest rate if $2,898 interest was earned from a principal of $23,000 invested for 3 years.Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Kazuo deposited $10,000 in a bank account with interest rate 4.5%. How much interest was earned in 2 years?Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Brent invested $23,000 in a friend's business. In 5 years the friend paid him the $23,000 plus $9,200 interest What was the rate of interest?Solve Simple Interest Applications In the following exercises, solve the simple interest problem. Fresia lent her son $5,000 for college expenses. Three years later he repaid her the $5,000 plus $375 interest. What was the rate of interest?Solve Simple Interest Applications In the following exercises, solve the simple interest problem. In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the bond?Solve Proportions and their Applications In the following exercises, write each sentence as a proportion. 3 is to 8 as 12 is to 32.Solve Proportions and their Applications In the following exercises, write each sentence as a proportion. 95 miles to 3 gallons is the same as 475 miles to 15 gallons.Solve Proportions and their Applications In the following exercises, write each sentence as a proportion. 1 teacher to 18 students is the same as 23 teachers to 414 students.Solve Proportions and their Applications In the following exercises, write each sentence as a proportion. 401. $735 for 15 ounces is the same as $2.94 for 6 ounces.Solve Proportions and their Applications In the following exercises, determine whether each equation is a proportion. 513=3078Solve Proportions and their Applications In the following exercises, determine whether each equation is a proportion. 167=4823Solve Proportions and their Applications In the following exercises, determine whether each equation is a proportion. 1218=6.9910.99Solve Proportions and their Applications In the following exercises, determine whether each equation is a proportion. 11.69.2=37.1229.44Solve Proportions and their Applications In the following exercises, determine whether each equation is a proportion. x36=59Solve Proportions and their Applications In the following exercises, solve each proportion. 7a=684Solve Proportions and their Applications In the following exercises, solve each proportion. 1.21.8=d6Solve Proportions and their Applications In the following exercises, solve each proportion. 122=m20Solve Proportions and their Applications In the following exercises, solve the proportion problem. The children's dosage of acetaminophen is 5 milliliters (ml) for every 25 pounds of a child's weight. How many milliliters of acetaminophen will be prescribed for a 60 pound child?Solve Proportions and their Applications In the following exercises, solve the proportion problem. After a workout, Dennis takes his pulse for 10 sec and counts 21 beats. How many beats per minute is this?Solve Proportions and their Applications In the following exercises, solve the proportion problem. An 8 ounce serving of ice cream has 272 calories. If Lavonne eats 10 ounces of ice cream, how many calories does she get?Solve Proportions and their Applications In the following exercises, solve the proportion problem. Alma is going to Europe and wants to exchange $1,200 into Euros. If each dollar is 0.75 Euros, how many Euros will Alma get?Solve Proportions and their Applications In the following exercises, solve the proportion problem. Zack wants to drive from Omaha to Denver, a distance of 494 miles. If his car gets 38 miles to the gallon, how many gallons of gas will Zack need to get to Denver?Solve Proportions and their Applications In the following exercises, solve the proportion problem. . Teresa is planning a party for 100 people. Each gallon of punch will serve 18 people. How many gallons of punch will she need?Solve Proportions and their Applications In the following exercises, translate to a proportion. What number is 62% of 395?Solve Proportions and their Applications In the following exercises, translate to a proportion. 42 is 70% of what number?Solve Proportions and their Applications In the following exercises, translate to a proportion. What percent of 1,000 is 15?Solve Proportions and their Applications In the following exercises, translate to a proportion. What percent of 140 is 210?Solve Proportions and their Applications In the following exercises, translate and solve using proportions. What number is 85% of 900?Solve Proportions and their Applications In the following exercises, translate and solve using proportions. 6% of what number is $24?Solve Proportions and their Applications In the following exercises, translate and solve using proportions. $3.51 is 4.5% of what number?Solve Proportions and their Applications In the following exercises, translate and solve using proportions. What percent of 3,100 is 9.30?PRACTICE TEST In the following exercises, convert each percent to (a) a decimal (b) a simplified fraction. 24%In the following exercises, convert each percent to a a decimal b a simplified fraction. 425. 5%PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 426. 350%PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 427. 78PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 428. 13PRACTICE TEST In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.) 1112PRACTICE TEST In the following exercises, solve the percent problem. 65 is what percent of 260?PRACTICE TEST In the following exercises, solve the percent problem. What number is 27% of 3,000?PRACTICE TEST In the following exercises, solve the percent problem. 150% of what number is 60?PRACTICE TEST In the following exercises, solve the percent problem. Yuki's monthly paycheck is $3,825. She pays $918 for rent. What percent of her paycheck goes to rent?PRACTICE TEST In the following exercises, solve the percent problem. The total number of vehicles on one freeway dropped from 84,000 to 74,000. Find the percent decrease (round to the nearest tenth of a percent).PRACTICE TEST In the following exercises, solve the percent problem. Kyle bought a bicycle in Denver where the sales tax was 7.72% of the purchase price. The purchase price of the bicycle was $600. What was the total cost?PRACTICE TEST In the following exercises, solve the percent problem. Mara received $31.80 commission when she sold a $795 suit What was her rate of commission?PRACTICE TEST In the following exercises, solve the percent problem. Kiyoshi bought a television set on sale for $899. The original price was $1, 200. Find. (a) the amount of discount (b) the discount rate (round to the nearest tenth of a percent)PRACTICE TEST In the following exercises, solve the percent problem. Oxana bought a dresser at a garage sale for $20. She refinished it, then added a 250% markup before advertising it for sale. What price did she ask for the dresser?In the following exercises, solve the percent problem. 439. Find the simple interest earned after 5 years on $3000 invested at an interest rate of 4.2%.PRACTICE TEST In the following exercises, solve the percent problem. Brenda borrowed $400 from her brother. Two years later, she repaid the $400 plus $50 interest. What was the rate of interest?PRACTICE TEST In the following exercises, solve the percent problem. Write as a proportion: 4 gallons to 144 miles is the same as 10 gallons to 360 miles.PRACTICE TEST In the following exercises, solve the percent problem. Solve for a: 12a=1565PRACTICE TEST In the following exercises, solve the percent problem. Vin read 10 pages of a book in 12 minutes. At that rate, how long will it take him to read 35 pages?TRY IT:: 7.1 Write each as the ratio of two integers (a) 24 (b) 3.57.TRY IT:: 7 2 Write each as the ratio of two integers: (a) 19 (b) 8.41.TRY IT :: 7.3 Identify each of the following as rational or irrational: (a) 0.29 (b) 0.816 (c) 2.515115111...TRY IT:: 7.4 Identify each of the following as rational or irrational: (a) 0.2 3 (b) 0.125 (c) 0.418302...TRY IT :: 7.5 Identify each of the following as rational or irrational: (a) 81 (b) 17TRY IT :|: 7.6 Identify each of the following as rational or irrational: (a) 116 (b) 121TRY IT:: 7.7 Determine whether each number is a (a) whole number. (b) integer, (c) rational number, (d) irrational number, and (e) real number: 3, 2 0. 3 , 954, 49TRY IT :: 7.8 Determine whether each number is a (a) whole number, (b ) integer, (c) rational number, (d) irrational number, and (e) real number: 25 , 38 , 1, 6, 121 2.041975...In the following exercises, write as the ratio of two integers. 1. (a)5 (b) 3.19In the following exercises, write as the ratio of two integers. 2. (a) 8 (b)1.61In the following exercises, write as the ratio of two integers. 3. (a)12 (b) 9.279In the following exercises, write as the ratio of two integers. 4 (a)16 (b) 4.399In the following exercises, determine which of the given numbers ore rational and which are irrational. 5. 0.75. 0.22 3 , 1.39174...In the following exercises, determine which of the given numbers are rational and which are irrational. 6. 0.36, 0.94729..., 2.52 8In the following exercises, determine which of the given numbers are rational and which are irrational. 7. 0. 45 , 1.919293...., 3.59In the following exercises, determine which of the given numbers are rational and which are irrational. 8. 0.1 3 , 0.42982...,. 1.875In the following exercises, identify whether each number is rational or irrational. 9. (a) 25 (a) 30In the following exercises, identify whether each number is rational or irrational. 10. (a) 44 (b) 49In the following exercises, identify whether each number is rational or irrational. 11 (a) 164 (b) 169In the following exercises, identify whether each number is rational or irrational. 12. (a) 225 (b) 216Classifying Real Numbers In the following exercises, determine whether each number is whole, integer, rational, irrational, and real. 13. 8. 0, 1.95286....., 125 , 36 9Classifying Real Numbers In the following exercises, determine whether each number is whole, integer, rational, irrational, and real. 14. 9, 3 49 9 , 0.4 09 , 117 , 7Classifying Real Numbers In the following exercises, determine whether each number is whole, integer, rational, irrational, and real. 15. 100 , 7 7, 83 ,-1, 0.77, 3 14Everyday Math 16. Field trip All the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children, teachers, and chaperones, there will be 147 people. Each bus holds 44 people. (a) How many buses will be needed? (b)Why must the answer be a whole number? (c) Why shouldn't you round the answer the usual way?Everyday Math 17. Child care Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve 40 children. (a) How many teachers will be needed? (b) Why must the answer be a whole number? (c) Why shouldn't you round the answer the usual way?Writing Exercises 18. In your own words, explain the difference between a rational number and an irrational number.Writing Exercises 19. Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals) are related to each other.TRY IT :: 7.9 Use the commutative properties to rewrite the following: (a) 4 + 7=_____ (b) 6·12 =_____TRY IT:: 7.10 Use the commutative properties to rewrite the following: (a) 14 + (2) =_____ (b) 3(-5) =_____TRY IT :: 7.11 Use the associative properties to rewrite the following: (a) (l+0.7) + 0.3=_____ (b) (9·8)· 34 = _____TRY IT:: 7.12 Use the associative properties to rewrite the following: (a) (4+ 0.6)+0.4 =_____ (b) (2-12)· 56 =______TRY IT:: 7.13 Use the Associative Property of Multiplication to simplify the given expression: 8(4x).TRY IT:: 7.14 Use the Associative Property of Multiplication to simplify the given expression: —9(7y).TRY IT:: 7.15 Evaluate each expression when y = 38 : (a) y + 0.84 + ( - y) (b) y + ( y)+0.84.TRY IT:: 7.16 Evaluate each expression when f = - 2017 : (a) f + 0.975 + ( f ) (c) f + ( f ) + 0.975.TRY IT:: 7.17 Evaluate each expression when p= 24: (a) 59 (95q) (b) (5995) p .TRY IT :: 7.11 Evaluate each expression when q = 15: (a) 711 (117q) (b) (5995) qTRY IT:: 7.19 Simplify: 27a + (48a) + 27a.TRY IT:: 7.20 Simplify: 39x + ( 92x ) + ( 39x ).TRY IT:: 7.21 Simplify: 911 · 549 · 169 ·TRY IT:: 7 22 Simplify: 617 · 1125 · 176 ·TRY IT:: 7 23 Simplify: (715+58) + 38TRY IT:: 7 24 Simplify: (29+712) + 512TRY IT:: 7.25 Simplify: (5. 58c + 8. 75c ) + 1. 25c .TRY IT:: 7.26 Simplify: (8. 7d + 3. 55d ) + 5. 45d .TRY IT:: 7.27 Simplify: [1.17(4)](2.25).TRY IT:: 7 28 Simplify: [3.52(8)](2.5).TRY IT:: 7.29 Simplify: 8( 3y ).TRY IT:: 7.30 Simplify: 12( 5z .).TRY IT:: 7.31 Simplify: 23r + 14s + 9r + ( 15s ).TRY IT:: 7.32 Simplify: 37m + 21n + 4m + ( 15n ).Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 20. 8 + 9 =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 21. 7 + 6 =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 22. 8(12) =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 23. 7(-13)=___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 24. (19)(14) = ___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 25. (12)(18) =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 26. 11 + 8 = ___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 27. 15+7 = ___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 28. x + 4 =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 29. y + 1 =___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 30. 2a = ___Use the Commutative and Associative Properties In the following exercises, use the commutative properties to rewrite the given expression. 31. 3m = ___In the following exercises, use the associative properties to rewrite the given expression. 32. (11 +9) + 14 =___In the following exercises, use the associative properties to rewrite the given expression. 33. (21 + 14) + 9 =___In the following exercises, use the associative properties to rewrite the given expression. 34. (12·5)·7 =___In the following exercises, use the associative properties to rewrite the given expression. 35. (14·6)·9 =___ _In the following exercises, use the associative properties to rewrite the given expression. 36. (7 + 9) + 8 =___In the following exercises, use the associative properties to rewrite the given expression. 37. (2 + 6) + 7 =___In the following exercises, use the associative properties to rewrite the given expression. 38. (1645) ·l5=___In the following exercises, use the associative properties to rewrite the given expression. 39. (1323) ·18 =___In the following exercises, use the associative properties to rewrite the given expression. 40. 3( 4x ) =___In the following exercises, use the associative properties to rewrite the given expression. 41. 4( 7x ) =___In the following exercises, use the associative properties to rewrite the given expression. 42. (12 + x )+ 28 =___In the following exercises, use the associative properties to rewrite the given expression. 43. (17 + y) + 33 =___Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 44. If y = 58 , evaluate: (a) y + 0.49 + (-y) (b) y + (y) + 0.49Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 45. If z = 78 , evaluate: (a) z + 0.97 + (- z ) (b) z + ( z ) + 0.97Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 46. If c = 114 , evaluate: (a) c + 3.125 + (c) (b) c + (-c) + 3.125Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 47. If d = - 94 , evaluate: (a) d + 2.375 + ( d ) (b) d + ( d ) + 2.375Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 48.If j = 11, evaluate: (a) 56 (65j) (b) (5665)jEvaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 49. If k : = 21, evaluate: (a) 413 (134k) (b) (413134)kEvaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 50. If m = 25, evaluate: (a) 37 (73m) (b) (3773m)Evaluate Expressions using the Commutative and Associative Properties In the following exercises, evaluate each expression for the given value. 51. If n = —8. evaluate: (a) 521(215n) (b) (521215) nSimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 52. 45a + 15 + 45aSimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 53. 9y + 23 + (9y)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 54. 12+78+(12)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 55. 25+512+(25)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 56. 3204911203Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 57. 13182571813Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 58. 712917247Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 59. 3101323503Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 60. 24·7 38Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 61. 36 11 49Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 62. (56+815)+715Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 63. (112+49)+59Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 64. 513+34+14Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 65. 815+57+27Simplify Expression Using the Commutative and Associative Properties In the following exercises, simplify. 66. (4. 33p 1. 09p) + 3. 91pSimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 67. (5. 8d +2. 75d ) + l. 25dSimplify Expressions Using (he Commutative and Associative Properties In the following exercises, simplify. 68 17(0.25)(4)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 69. 36(0.2)(5)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 70. [2.48(12)](0.5)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 71. [9.731(4)](0.75)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 72. 7( 4a )Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 73. 9( 8w )Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 74. 15( 5m )Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 75. 23( 2n )Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 76. (1256p)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 77. 20(35q)Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 78. 14x + 19y + 25x +3ySimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 79. 15u + 11v + 27u + 19vSimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 80. 43m + ( 12n ) + ( 16m ) + ( 9n )Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 81. 22p + 17q + ( 35p ) + ( 27q )]Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 82. 38g+112h+78g+512hSimplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 83.Simplify Expressions Using the Commutative and Associative Properties In the following exercises, simplify. 84. 6.8p + 914q + (4. 37p ) + (0. 88q )Simplify Expressions Using the Commutative and Associative Properties In the following aerates, simplify. 85. 9.6m + 7.22n + (2.19m) + (0.65n)Everyday Math 86. Stamps Allie and Loren need to buy stamps. Allie needs four $0.49 stamps and nine $0.02 stamps. Loren needs eight $0.49 stamps and three $0.02 stamps. (a) How much will Allie's stamps cost? (b) How much will Loren's stamps cost? (c) What is the total cost of the girls' stamps? (d) How many $0.49 stamps do the girls need altogether? How much will they cost? (e)How many S0.02 stamps do the girls need altogether? How much will they cost?Everyday Math 87. Counting Cash Grant is totaling up the cash from a fundraising dinner. In one envelope, he has twenty-three $5 bills, eighteen S10 bills, and thirty-four S20 bills. In another envelope, he has fourteen $5 bills, nine $10 bills, and twenty-seven $20 bills. (a) How much money is in the first envelope? (b) How much money is in the second envelope? (c) What is the total value of all the cash? (d) What is the value of all the $5 bills? (e) What is the value of all $10 bills? (f) What is the value of all $20 bills?Writing Exercises 88 . In your own words, state the Commutative Property of Addition and explain why it is useful.Writing Exercises 89 . In your own words, slate the Associative Property of Multiplication and explain why it is useful.TRY IT :: 7.33 Simplify: 4 (x + 2).TRY IT :: 7.34 Simplify: 6( x + 7).TRY IT :: 7.35 Simplify: 9( 3y + 8).TRY IT:: 7.36 Simplify: 5( 5w + 9).TRY IT :: 7.37 Simplify: 7( x 6).TRY IT:: 7.38 Simplify: 8( x 5).TRY IT :: 7.39 Simplify: 25 ( p + 10).TRY IT:: 7.40 Simplify: 37 ( u + 21).TRY IT:: 7.41 Simplify: 6(56y+12) .TRY IT:: 7.42 Simplify: 12(13n+34) .TRY IT:: 7.43 Simplify: 100(0.7+0. 15p ).TRY IT:: 7.44 Simplify: 100(0.04 + 0. 35d ).TRY IT :: 7.45 Simplify: r(s 2).TRY IT :: 7.46 Simplify: y(z 8).TRY IT :: 7.47 Simplify: ( x + 2) p.TRY IT :: 7.48 Simplify: ( y + 4) q.TRY IT:: 7.49 Simplify: 3( 6m + 5).TRY IT:: 7.50 Simplify: 6( 8n +11).TRY IT :: 7.51 Simplify: 5(2 3a ).TRY IT :: 7.52 Simplify: 7(8 15y).TRY IT:: 7.53 Simplify: (z11).TRY IT :: 7.54 Simplify: (x 4).TRY IT :: 7.55 Simplify: 9 3( x + 2).TRY IT :: 7.56 Simplify: 7x 5( x + 4).TRY IT :: 7.57 Simplify: 6( x 9)( x+ 12).TRY IT :: 7.58 Simplify: 8( x 1)( x + 5).TRY IT:: 7.59 Evaluate when w = 3: (a) 5(5w + 9) (b) 5 5w + 5 9.TRY IT :: 7.60 Evaluate when y = 2: (a) 9( 3y +8) (b) 9 3y 9 8.TRY IT :: 7.61 Evaluate when n = 2: (a) 6( 8n + 11) (b) 6 8n + (6) 11.TRY IT:: 7.62 Evaluate when m = 1:(a) 3( 6m + 5) (b) 3 6m + (3) 5.TRY IT:: 7.63 Evaluate when x = 36: (a) (x - 4) (b) x + 4 to show that (x 4) = x 4.TRY IT:: 7.64 Evaluate when z = 55: (a) (z 10) (b) z + 10 to show that (z 10) = z + 10.Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 90. 4( x + 8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 91. 3( a + 9)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 92. 8(4y + 9)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 93. 9( 3w + 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 94. 6(c 13)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 95. 7(y 13)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 96. 7( 3p 8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 97. 5( 7u 4)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 98. 12 ( n + 8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 99. 13 ( u + 9)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 100. 14 ( 3q + 12)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 101. 15 ( 4m + 20)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 102. 9(59y13)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 103. 10(310x25)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive prop 104. 12(14+23r)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 105. 12(16+34s)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive prop 106. r ( s 18)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 107. u (v 10)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property 108. (y + 4) pSimplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 109. ( a + 7) xSimplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 110. 2(y+ 13)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 111. 3(a+ 11)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 112. 7( 4p + 1)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 113. 9( 9a + 4)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 114. 3( x 6)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 115. 4 ( q 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 116. 9( 3a 1)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 117. 6( 7x 8)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 118. (r + 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 119. ( q + 11)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 120. ( 3x 7)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 121. ( 5p 4)Simplify Expressions Using the Distributive Property In the following exercises, simplify using the distributive property. 122. 5 + 9( n 6)