Quick Review Skills Workbook

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1 Quick Review Skills Workbook Course Also available online at connected.mcgraw-hill.com

2 CONTENTS Math Skill Page 1 Multiplying Decimals by Whole Numbers Dividing Decimals by Whole Numbers Multiplying and Dividing Decimals by Whole Numbers Multiplying Decimals Dividing Decimals Multiplying and Dividing Decimals Operations with Decimals Terminating and Repeating Decimals Adding Fractions with Like Denominators Subtracting Fractions with Like Denominators Adding and Subtracting Fractions with Like Denominators Adding and Subtracting Fractions with Unlike Denominators Mixed Numbers and Improper Fractions Adding and Subtracting Mixed Numbers Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed Numbers Operations with Fractions and Mixed Numbers Proportions Fractions, Decimals, and Percents Percent of a Number Ratios and Rates Absolute Value Adding Integers Subtracting Integers Adding and Subtracting Integers Multiplying Integers Dividing Integers Multiplying and Dividing Integers Identifying Properties Using Properties One-Step Equations Two-Step Equations Graphing Inequalities One-Step Inequalities Two-Step Inequalities Mean, Median, Mode, and Range Graphing Points on a Coordinate Plane Line Plots Circle Graphs Stem-and-Leaf Plots Histograms Measurement: The Customary System Measurement: The Metric System iii Course

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4 1 Multiplying Decimals by Whole Numbers Find each product , ,68 1, , , , ,7.8, ,6. 1,91. 6, ,8.,7, Course

5 1 Multiplying Decimals by Whole Numbers Find each product ,0 $ $, , , , , , , , , ,866. Solve. 1. Molly bought 1 keychains for her friends for $.67 each. How much did she spend altogether? ,0, ,.6 1. Nathaniel has $.7. He wants to buy some model cars that cost $.8 a piece. Does he have enough money to buy 8 cars? Explain. $0.0 Yes; 8 cars will cost 8.8 or $.8. Since $.8 < $.7, he has enough money. Course

6 Dividing Decimals by Whole Numbers Find each quotient. Round to the nearest hundredth if necessary , , , Course

7 Dividing Decimals by Whole Numbers Find each quotient. Round to the nearest hundredth if necessary , , , , Solve. 10. Mr. Richards spent $9.70 on pizzas for a class pizza party. If he bought 6 pizzas and each cost the same amount, how much did each pizza cost? 1. It took Kendra 1 minutes to ride her bike. miles. If she rode at an average rate, how long did it take her to travel one mile? 11. The price for five friends to visit a museum was $6.. What was the cost for each ticket? $9.9 $9. 1. Mrs. Blackwell has $.0 to split evenly between her four children for their allowance. How much will each child receive?.69 min $8. Course

8 Multiplying and Dividing Decimals by Whole Numbers Find each product or quotient , , , ,61. 7., , , , , Course

9 Multiplying and Dividing Decimals by Whole Numbers Find each product or quotient , ,6.7, , ,99. Solve. 1. Mr. Yi traveled 8.6 miles on 1 gallons of gasoline. How many miles did he travel per gallon of gasoline? Round to the nearest hundredth Sonya uses 8.6 pounds of flour to make a dessert that serves 17 people. How much flour is needed per serving? Round to the nearest hundredth..71 mi 0.0 lb Course 6

10 Multiplying Decimals Find each product , Solve. 1. Katie worked 0. hours this week. She makes $8 per hour. How much money did she earn this week? 1. To build an addition for his house, Mr. Toshio needs 18 sections of paneling that are each 7. feet long. How many total feet of paneling does Mr. Toshio need? 1. Over the course of five months, Olivia noticed an average of. inches of rainfall per month. How much total rainfall did she observe over the five-month period? $ 1 ft 1. in 7 Course

11 Multiplying Decimals Find each product $ $ $ $ $ $ , Solve. 1. The costume designer for a drill team needs. yards of fabric to make one uniform. How much fabric is necessary if uniforms are needed for the team? 1. Khalid purchased five 1-packs of soda that cost $.9 each. How much did Khalid spend on soda? 1. At her job, Annie earns $9.0 per hour. If Annie worked. hours last week, how much money did she earn? 1 yd $17.9 $08.7 Course 8

12 Dividing Decimals Find each quotient ,00 $ $ $ $ Solve. 1. Marta ran a total of 6. miles on a 0.-mile track. How many laps did Marta run? 1. Before taxes, Drew s pay was $17.. If he earns $8. per hour, how many hours did Drew work? 1. A 0.-ounce bottle of s shampoo costs $.1. What is the price per ounce? laps 1 h $0. 9 Course

13 Dividing Decimals Find each quotient. $ $ , Solve. 1. Mrs. Rollins paid a total of $11. for lunch meat that was priced at $.0 per pound. How many pounds of lunch meat did she buy? 1. Sofia earned $.7 on her last paycheck. If she worked 1. hours, what is Sofia s hourly wage? 1. Which is a better bargain: a.-ounce box of cereal that costs $.60 or a 1.-ounce box of the same cereal that costs $.90?. lb $16.0. oz box Course 10

14 6 Multiplying and Dividing Decimals Find each product or quotient $ $ Solve. 1. Ramon drove at 7. miles per hour for 1. hours. How far did he drive? 1. For a school fund-raiser, each person in Mr. Singh s class walked. miles. The whole class walked a total of 16 miles. How many people are in Mr. Singh s class? 1. Candy bought from the bulk food section costs $.0 per pound. Sarah wants. pounds of candy. How much will she have to pay? 6. mi people $8. 11 Course

15 6 Multiplying and Dividing Decimals Find each product or quotient Solve. 1. A carwash charges $.7 per wash. If the carwash made $1 in one day, how many cars were washed? 8 cars 1. In a survey,. times as many students preferred pizza to hot dogs. If students preferred hot dogs, how many preferred pizza? 99 students 7 1. California has 7. times as many counties as Connecticut. If California has 8 counties, how many counties are in Connecticut? 8 counties Course 1

16 7 Operations with Decimals Find each sum, difference, product, or quotient Course

17 7 Operations with Decimals Find each sum, difference, product, or quotient , , , Course 1

18 8 Terminating and Repeating Decimals Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. 1. _ _ _ _ _ _ _ _ 9. _ Write each decimal as a fraction or mixed number in simplest form _ _ 9 1 _ 9 _ Course

19 8 Terminating and Repeating Decimals Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal. 1. _. _ 9. 7 _ _ _ _ _ _ _ Write each decimal as a fraction or mixed number in simplest form _ _ 8 17_ 0 1_ 7_ 9 Course 16

20 9 Adding Fractions with Like Denominators Add. Write each sum in simplest form. 1. _ + 1. _ 6 + _ 1 6 _ 6. 7_ 1 + _ 1 _ 6. _ 9 + _ 9 _. 6_ 1 + _ 7 1 1_ 1 6. _ 8 + _ 1 8 _ 7. _ _ 0 _ 8. _ 8 + _ 8 7_ _ _ _ 6 + _ 6 _ 1. _ _ 11 + _ _ + 1 9_ _ 10 + _ _ _ 1 17 Course

21 9 Adding Fractions with Like Denominators Add. Write each sum in simplest form. 1. _ 8 + _ 8 7_ 8. _ 1 + _ 6 1 _. _ 1 + _ 1 _ 7. _ _ 16 7_ 8. _ _ _ 9 + _ 9 7_ _ _ _ 0 7_ _ 16 + _ _ 16 + _ 8 1. _ _ 6 _ _ 10 + _ _ _ 0 7_ _ _ _ 1 + _ 1 _ 7 _ Course 18

22 10 Subtracting Fractions with Like Denominators Subtract. Write each difference in simplest form. 1. _ 7 - _ 7 _ 7. _ - _. _ _ 9. _ 6 - _ 6. _ - _ 1 6. _ - _ 1 _ 7. 6 _ 7 - _ 7 _ 7 8. _ 6-1 _ 6 9. _ 9 - _ _ 8 - _ 8 1. _ _ _ - 1 _ 1. 6 _ 7 - _ _ 1 - _ _ 8 - _ 8 19 Course

23 10 Subtracting Fractions with Like Denominators Subtract. Write each difference in simplest form. 1. 9_ 11 - _ 11 6_ 11. _ _ 8. _ 9 - _ _ 6 - _ 6. _ _ _ 1 - _ _ 1-6 _ _ 1 - _ 1 _ _ 1 - _ _ 10 - _ _ 6 - _ _ _ _ 0 - _ _ 16 - _ _ 9 - _ 9 _ 9 _ 8 Course 0

24 11 1. _ 9 + _ 9 Adding and Subtracting Fractions with Like Denominators Add or subtract. Write each sum or difference in simplest form. 7_ _ 7 10 _. 7_ _ 0 _. 7 _ 9 - _ _ 1-7 _ 1 6. _ 1-1 _ 1 7. _ 16 + _ _ 11 - _ 11 _ _ _ _ _ _ 0 + _ 17 0 _ _ 0 - _ 0 1. _ 6 - _ _ 1 + _ 7 1. _ 9 - _ 9 _ 1 1 Course

25 11 Adding and Subtracting Fractions with Like Denominators Add or subtract. Write each sum or difference in simplest form. 1. 8_ 11 - _ 11 _ _ 1-11 _ 1. 1 _ 0 + _ 0 _. _ 0 - _ _ _ 16-7 _ _ _ 18 _ 8. _ 11 + _ _ _ 6 + _ _ - _ _ 1 + _ _ 9 + _ _ _ 9 1. _ 1 - _ 7 1. _ 7 + _ 7 _ Course

26 1 Adding and Subtracting Fractions with Unlike Denominators Add or subtract. Write the sum or difference in simplest form _ 19_ 0. - _ 6 7_ 1. _ _ 9 _ _ 6. 7_ _ 19_ _ 16 1_ _ - 1 _ 9_ _ - _ 1 7_ 10 _ 11 1 _ 1 19_ _ 0 _ _ 1 - _ 7 1 8_ 17-1 _ _ 1 7_ 9-1 _ 6 - _ _ 9_ 100 Course

27 1 Adding and Subtracting Fractions with Unlike Denominators Add or subtract. Write the sum or difference in simplest form _ 9 7_ 9. - _ 1 0 7_ _ 6 _ 9 _ _ _ 1 _ 9 7_ _ 10 _ _ 8 7_ 0 1_ 1 1_ 1 _ 1 _ _ 0 1_ 0 7_ 0 _ 9 _ _ _ 1. 7_ _ Course

28 1 Mixed Numbers and Improper Fractions Write each improper fraction as a mixed number _. 6 _ _ _ 6. 8 _ 7 _ 9 _ 7 7. _ _ _ _ _ 8 6_ _ _ _ _ 1. _ Course

29 1 Mixed Numbers and Improper Fractions Write each mixed number as an improper fraction _. 7 _ 8. _ 1 8 _. 7 1 _ 6. 9 _ _ 16 _ 6 _ _ _ _ _ _ 0 67_ _ _ 6_ 11 _ 16 1 _ _ _ Course 6

30 1 Adding and Subtracting Mixed Numbers Add or subtract. Write each sum or difference in simplest form _ 6 _ 6. _ _ _ _ + 9 _ 9_ _ - 6 7_ _ 18-1 _ 8 8_ 9 7. _ _ 6 _ _ _ _ 9 1_ _ _ _ _ _ + 8 _ 0 _ 9. 7 _ _ 8 _ _ _ 1 17_ 1. 1 _ _ Course

31 1 Adding and Subtracting Mixed Numbers Add or subtract. Write each sum or difference in simplest form. 1. _ _ _ 8 - _ 1_ _ _ 10 8_ 7. 6 _ _ 8 7_ _ _ 7 9 0_ _ _ 9 10 _ _ _ _ _ - 6 _ _ 0 + _ _ 0-17 _ 0 _ _ _ 7_ _ _ 1 7 _ _ 9 + _ 6 17_ _ - 1 _ _ _ _ 8 Course 8

32 1 Multiplying Fractions and Mixed Numbers Multiply. Write each product in simplest form. 1. _ _ 1 16 _. _ _ 1. 6 _ 1 _ _ _ _ _ 1 _ 9. 6 _ 6 7 _ _ _ 8 _ 7 0 _ 8 9 Course

33 1 Multiplying Fractions and Mixed Numbers Multiply. Write each product in simplest form. 1. _ _ _ _ _ 16 9_. 1 _ 9. 8 _ 8 _ _ 1 6. _ 18 _ _ _ 9 _ _ 11 1 _ _ 1 _ _ 1 8 _ 1 60 Course 0

34 16 Dividing Fractions and Mixed Numbers Divide. Write each quotient in simplest form _ _. 8 _ 1 _. _ 8 9. _ _ _ _ 7 1 _ _ _ 11 1 _ 8 8. _ _ _ 11 1 _ 1 69 _ 1 Course

35 16 Dividing Fractions and Mixed Numbers Divide. Write each quotient in simplest form _ _ 9 _ _ _ _ 1. 6 _ 7 1 _ _ 6 _ _ _ 8 9. _ 1 _ 16 7 _ 9 8. _ 7 1 _ 6 _ _ 9 10 _ 0 1 Course

36 17 Operations with Fractions and Mixed Numbers Add, subtract, multiply, or divide. Write each answer in simplest form. 1. _ + 1 _ 100 _. 6 _ _ 1. _ 18 - _ 17_ _ 6 _ _ _ _ 6_ 7 7. _ 81 7 _ _ 7 1 _ _ 9-1 _ 9 1 6_ _ _ _ _ _ 1. _ 7 10 _ _ _ 10 _ 0 1. _ 7 _ _ _ 0 7_ 8 1 1_ 1 Course

37 17 Operations with Fractions and Mixed Numbers Add, subtract, multiply, or divide. Write each answer in simplest form _ 18 _ 1_ _ _ _ 7 9 _ 6. _ 1 10 _ _ _ 6_ _ _ 10 _ _ 1 1 _ 1. _ _ _ 9 - _ 1 8_ _ _ 1 8 _ _ 8 11 _ 9. 9 _ 1 _ _ 1 _ _ _ 10 6 _ 10 1 _ Course

38 18 Proportions Solve each proportion. 1. _ = a _ 18. _ b 7 = _ 8 6. _ 8 9 = _ p _ 7 t = _ _ 10 = x_ _ k = _ _ = _ 1 w 8. m _ 16 = 7 _ _ 1 = f_ _ c = 8 _ _ g = _ _ 0 = h_ _ x = 8 _ y _ = 6 _ _ 9 = _ b Course

39 18 Proportions Solve each proportion _ 8 = m _ 1. _ 1 = _ 10 x. _ 9 = g _ _ 1 = _ 18 a 1. _ 0 = _ r _ = b _ _ 1 11 = _ s 8. _ 0 = _ d 9. _ 8 = _ 1 n _ 17 = _ 1 k 1. _ 10 8 = _ x 16. _ = _ 1 l 11. _ 1 16 = _ h 8 1. _ 11 = _ v _ = _ f 1. 1 _ 1 = t _ _ = _ w _ = _ 6 z 7 1 Course 6

40 19 Fractions, Decimals, and Percents Write each percent as a fraction in simplest form and as a decimal. 1. 1%. 1%. 96% _ ; ; 1. _ ; %..7% 6. % _ 17 ; _ 9_ ; , ; 0. Write each decimal as a fraction in simplest form and as a percent _ ; 6% 1 7_ ; 19% 17_ 0 00 ;.% Write each fraction as a decimal and as a percent _ _ 1 0 ; 0% 17_ ; 8% 0 ; 0% 1. _ _ _ 0 0.6; 6% 0.6; 6.% 0.9; 90% _ ; 8%.7; 7% 0.7; 70% 7 Course

41 19 Fractions, Decimals, and Percents Write each percent as a fraction in simplest form and as a decimal. 1. %. 6.%. 6% ;. ; 0.06 _ 16 0 ; %. 1.% 6. 80% ; 0.6 ; 0.1 _ 0 8 ; 0.8 Write each decimal as a fraction in simplest form and as a percent _ ; 60% 8 ; 80% 7_ 0 ; % Write each fraction as a decimal and as a percent. 1. _ _ 8 _ 1 ; 6.1% _ ; 9%,000 8 ; 1.% 1. _ _ _ 0.; 0% 0.6; 6%.; 0% _ ; 87.% 0.; % 0.1; 1% Course 8

42 0 Percent of a Number Find each number. Round to the nearest tenth if necessary. 1. % of 7. 0% of 10. % of $ $.0. % of 6. 18% of % of % of % of 9. 7% of % of % of % of 0 Solve Carmen answered 96% of the questions on her test correctly. How many questions did she answer correctly? 1. Kevin spent 7% of his money on new clothes. If he had $1, how much did he spend on clothes? questions $9.7 9 Course

43 0 Percent of a Number Find each number. Round to the nearest tenth if necessary. 1. % of 1. 1% of 8. 98% of % of % of % of % of % of. 9..% of % of % of 8 1. % of Solve Jasmine received 0% off her total purchase at a store. If she spent $.60, how much was the discount? 1. Seventy percent of the students in Mr. Harrison s class earned an A on the last test. If there are 0 students in the class, how many earned an A? $9.1 1 students Course 0

44 1 Ratios and Rates Write each ratio as a fraction in simplest form. 1. busses for 80 students. 1 cats out of 9 pets 0 _ 1. 6 pairs of jeans out of 10 pairs of pants. 10 roses in a bouquet of 1 flowers. 18 red jelly beans in a jar of jelly beans _ boys in a class of 8 students Write each rate as a unit rate. Round to the nearest hundredth if necessary miles in. hours 8. $ for 6 packages of light bulbs _ 70 mi 1 h meters in 1. seconds 10. $8 for 0 hours _ 6. m 1 s _ $.17 1 package _ $9.0 1 h 11. A grocery store sells three different sizes of Container Size (oz) Price ($) orange juice. Which container is the better A 6.7 buy? Explain. Container C; Sample answer: Container A B costs about $0.09 per ounce, Container B C costs about $0.06 per ounce, and Container C costs about $0.09 per ounce. Since $0.09 < $0.09 < $0.06, Container C is the better buy. 1 Course

45 1 Ratios and Rates Write each ratio as a fraction in simplest form. 1. red balloons out of 18 balloons. 0 out of doctors agree _ 9 _. 18 out of 0 students prefer pepperoni pizza _. 0. cup soap in every cups water yellow counters out of 0 counters red cars out of 0 total cars 8_ 1 Write each rate as a unit rate. Round to the nearest hundredth if necessary. 7. $.0 for air filters 8. 7 miles in 8.8 hours _ $8.0 1 filter 9. 0 gallons in days 10. $8 for 8 hours _ gal 1 day 11. An online photo printing services offers three different packages to print photos. Which package is the better buy? Explain. Package A; Sample answer: Package A costs $0.11 per photo, Package B costs $0.1 per photo, and Package C costs $0.1 per photo. Since $0.11 < $0.1 < $0.1, Package A is the better buy. Package _ 6. mi 1 h _ $7. 1 h Number of Pictures Price ($) A B C Course

46 Absolute Value Evaluate each expression Course

47 Absolute Value Evaluate each expression Solve A football team gained 8 yards on one play and lost 6 yards on another. Which situation has the greater absolute value? Explain. Sample answer: Gaining 8 yards has the greater absolute value. The play that gained 8 yards went the greatest distance. 17. Megan earned $1 mowing the lawn. She spent $0 on a new sweater. Which situation has the greater absolute value? Explain. Sample answer: Spending $0 has the greater absolute value. She spent more money on the sweater than she earned. Course

48 Adding Integers Add (-9) (-) (-) (-) (-) (-0) (-19) (-7) (-1) (-1) Course

49 Adding Integers Add (-1) (-7) (-) (-11) (-0) (-8) (-) + (-1) (-1) + (-7) (-6) + (-1) (-1) + (-1) (-7) (-) (-6) + (-10) + (-8) (-) + (-8) + (-6) (-1) (-) (-0) (-) + (-6) + (-) (-) + (-1) + (-16) Course 6

50 Subtracting Integers Subtract (-). - (-) (-7) (-19) (-1) (-17) (-11) (-0) (-8) (-7) Course

51 Subtracting Integers Subtract (-8) (-8) (-) (-1) (-) (-1) (-0) (-) (-1) -7-0 Course 8

52 Adding and Subtracting Integers Add or subtract (-8) (-) (-) 9. - (-7) (-) (-) 1. - (-) (-0) (-1) (-60) Course

53 Adding and Subtracting Integers Add or subtract (-1) (-) (-9) (-) (-10) (-) (-1) (-) (-0) Course 0

54 6 Multiplying Integers Multiply. 1. (-7). -8(7). (6) (-). (-)(-) 6. -(-8) (-6) 8. -7(11) 9. -1(1) (-1) 11. (-7)(-7) 1. (-)() (-)(-) 1. -(-)(-) 1. -() (-7)(-9) (-)(-) 18. ()() (-)(-)(-) 0. -1()()() 1. (-)(-)(-) Course

55 6 Multiplying Integers Multiply. 1. (-). -9(8). 1(11) (-6). (-)(-) (-) (-) 8. -9(10) 9. -1() (-0) 11. (-9)(-9) 1. (-6)() (-)(-) 1. -(-8)(-) 1. -(1) (-6)(-7) (-)(-) 18. ()() (-)(-)(-) 0. -1()()() 1. -1(-6)(-6)(-6) Course

56 7 Dividing Integers Divide (-) _ (-) 6. _ (-9) 8. (-9) 9. _ (-) 1. _ _ (-) (-1) _ (-) (-1) (-1) - 1 Course

57 7 Dividing Integers Divide (-7) _ (-9) 6. _ (-) 8. (-) 9. _ (-7) 1. _ _ (-) 0. _ (-7) 1. - (-1) (-8) (-) - Course

58 8 Multiplying and Dividing Integers Multiply or divide. 1. -(). -10 (-60) (-16). 1() 6. _ (-19) 8. -1(-) 9. _ (-11) 1. -1() 1. _ _ (-8) 1. -(-6)() (-)(-) (-1) 0. -(-)(-7) 1. -(6) (-) Course

59 8 Multiplying and Dividing Integers Multiply or divide (-9). -8(-). 9(-9) _ (6) (-6) (91) 8. 1 (-) 9. _ (-1) (-) (-11) (-)(7) 1. (-) (-)(-) _ (-)(-) (-11) 0. (-)(10) 1. -(8) Course 6

60 9 Identifying Properties Identify the property shown by each equation = 18. (9 + ) = 9() + () Commutative ( ) Distributive (-10) = ( + 9) = (17 + ) + 9 Inverse (+) Associative (+) = = 1 (-) Identity (+) Commutative ( ) = (16) + 19() = 19(16 + ) Identity ( ) 9. _ _ = = = _ _ 9 = 1 1. ( ) = ( ) = 1 Distributive Inverse ( ) Commutative (+) Inverse (+) Inverse ( ) Associative ( ) Identity (+) 7 Course

61 9 Identifying Properties Identify the property shown by each equation. 1. 1() + 1(8) = 1( + 8) = 0 Distributive Inverse (+). 1 ( + 6) = ( + 6) ( + ) = (97 + ) + Commutative ( ) Associative (+). 0 + (7 ) = (7 ) 6. _ _ = 1 Identity (+) Inverse ( ) = 1 (-8) (10 ) = (10 ) + 0 Commutative ( ) Commutative (+) 9. 0 ( 87) = (0 ) (7 ) + 6 = 6 + (7 ) Associative ( ) Commutative (+) 11. (1 + 9) + 0 = (1 + 9) 1. 8() + 8(1) = 8( + 1) Identity (+) Distributive 1. - _ 7 7_ (- = 1 ) 1. ( + 1) 1 = ( + 1) Inverse ( ) Identity ( ) Course 8

62 0 Using Properties Simplify each expression. Tell which property you used (6 + 9) 0; Distributive 109; Associative (+). (1). 1 (6 9) 86; Distributive ; Identity ( ). _ 17 _ 17; Commutative ( ), Inverse ( ), Identity ( ) 6. 1(18) + 1() 00; Distributive 7. (9 + 7) ; Associative (+) 16; Commutative (+) ( + 9) ; Identity (+) 1,60; Distributive 11. (87 ) ,700; Associative ( ) 77; Commutative (+), Inverse (+) _ ( _ 7) ( 7 + (-8) ) 6,00; Commutative ( ) 1; Commutative (+), Inverse (+) Inverse ( ), Identity (+) 9 Course

63 0 Using Properties Simplify each expression. Tell which property you used (7 + 9). 7(9) 89; Associative (+) 6; Distributive. ( ) 1. 9_ _ 9 ; Identity ( ) 18; Commutative ( ), Inverse ( ), Identity ( ). (16) + () (-7) 80; Distributive 8; Commutative (+), Inverse (+), Identity (+) 7. (7 + 8) (10) (1 + 6) 11. (98 ) ( _ 7 9 ) 7 _ 17; Associative (+) 19; Commutative (+) 1,6; Distributive 1; Identity (+) 9,800; Associative ( ) 1; Commutative (+), Inverse (+), Identity (+) ; Commutative ( ), Associative ( ), Inverse ( ), Identity ( ),00; Commutative ( ) Course 60

64 1 One-Step Equations Solve each equation. Check your solution p = -. 1 = w - 8. x = m _ = -10. n + (-9) = = q b = - 8. x_ = c = a - 6 = _ -t = _ c 8 = = k + 1. g - 10 = - 1. d = h _ = f = = g Course

65 1 One-Step Equations Solve each equation. Check your solution = -1 + w. -11 = t -. w = p_ = z = 1 6. k - 9 = t = - 8. _ r = = h = z c = c _ -6 = = p j - 1 = - 1. y = _ j = h + (-9) = r - = Course 6

66 Two-Step Equations Solve each equation. Check your solution. 1. x + = 10. x - 1 =. -8j - 7 = d - =. 6 - w = = q _ n _ 7 = 1 8. = - + 8p h = k _ = = 11b - (-) 1. 6 = 0 + x _ a = - 1. x - 8 = m _ - 6 = p = = 6a _ t + 11 = Course

67 Two-Step Equations Solve each equation. Check your solution v = = _ k g - 1 = c = -1. a + = 8 6. m + 1 = = n _ = d h + 1 = _ r = = _ g p = s = 1 1. a - = - 1. b _ - 6 = _ c - 0 = w - 18 = d + 9 = 76 - Course 6

68 Graphing Inequalities Graph each inequality on a number line. 1. x > -. > n y. m < q a b k b > s < t d < Course

69 Graphing Inequalities Graph each inequality on a number line. 1. x 70. g < y 8. c > d 6. - < b s m c < < t > v 1. g Course 66

70 One-Step Inequalities Solve each inequality. Graph the solution set on a number line. 1. m + 9 < 1. k + (-) < -1 m < k < < v f 7 v > -1 f r + 8 > s - (-) r > - s p < _ m - > p < 1 m < < b k 1 b > -6 k > _ a 1. _ w 6 < - a < - w < Course

71 One-Step Inequalities Solve each inequality. Graph the solution set on a number line. 1. s - 1 > 1. m + 18 < 0 s > 6 m < h + 0 > -1. x - 1 > h > - x > p + (-) > r + 7 p > - r s - 8. h_ -8 < - s h > d_ k < 6 d 6 k < _ n - 1. _ k 7-6 n -8 k Course 68

72 Two-Step inequalities Solve each inequality. Graph the solution set on a number line. 1. a g - 7 < -1 a g < m > 8. - b -8 m > 9 b w - 1 > t 6 w > t q _ - 6 > d _ g - > -9 q > - g > > 6y + d 0 y < 11. k - 6 < s - 8 k < s Course

73 Two-Step inequalities Solve each inequality. Graph the solution set on a number line f. 1 + p < 7 f p < t - 1 > -. + d 1 t > - d > - x 6. -9m -9 9 x > -1 m x _ + < 7 x > -0 g z + 1 > g e z > - e b < k b > k Course 70

74 6 Mean, Median, Mode, and Range Find the mean, median, mode, and range of each set of data. Round to the nearest tenth if necessary , 1, 0, 1, 1., 8, 6, 8,, 1, 1, 1, 8,,, 1. 8,, 1,,, 9,. 8, 7, 9, 8, 7, 78 6,,, 10 81, 80, no mode, 0.,, 8, 7,,, , 10, 11, 10 0, 8,, 1 110, 108, no mode, , 6,, 67, 71, ,, 0, 8, 6 6, 6, 67, 18,, no mode, ,, 86, 76,, , 176, 19,, 0 60, 7,, 0, 0, no mode, , 1,, 19,, 6,, 18,, , 1, 1, 1, 6,, 8,,,, ; ; 18,,, and 6; 8.7, 8,, 1. 1,, 9, 1,,, 8, 1. 6,, 66,, 0, 66,, 1 and, 8 6,, and 66, 0 71 Course

75 6 Mean, Median, Mode, and Range Find the mean, median, mode, and range of each set of data. Round to the nearest tenth if necessary. 1. 8, 79, 9, 91, 8.,, 19, 7, 1, 1, 6,, 86, 8, no mode, 1 7.1, 6,, and,. 8, 11, 1, 11, 1, 1, 11, 1, 1, 11, , 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.6, 0., 0. 11, 1, 11, 6 0., 0., 0., 0.6., 6,, 8, 1,, 0, 9,,, , 198, 181, 18, 19, 171, 179, 186, , 8,, , 181, 181, ,, 7, 86,, 69, 77, 9, , 61, 89, 67, 8,, 9, 10, 9, 7, 8,, no mode, 7 76., 7, no mode, 8 9., 7,,, 61, 9, 9, , 91, 181, 19, 11, 91, 61, 18, 6., no mode, 7 9.6, 9., 91, ,, 1, 7,, 8, 7,, 19, 6, 0, 1,, , 1.8, 1.6, 1.,., 1.7, 1.6, 1., 1.6, , 7, 1, 78, 109,, 186, 1, 1, 08, , 0.,, 9 1., 1, no mode, ,, 19, 16, 1, 8,,, 19, 17, 6,, 1.7, 1.6, 1.6, ,, 17 and 19, 17 Course 7

76 7 Graphing Points on a Coordinate Plane Name the ordered pair for each point graphed. 1. y. y A(, ), B(-, -1) C(1, -1), D(-1, ) x x. y. y E(0, ), F(, -) G(-, ), H(0, 0) x x. y 6. y 7. y 8. x 9. y 10. S(, ), T(-, -) x x I(, ), J(-, 1) M(-, -), N(, -) y y x x x K(-, 0), L(0, -) P(-, ), Q(, 0) U(, -1), W(-1, ) 7 Course

77 7 Graphing Points on a Coordinate Plane Graph each ordered pair. 1. A(, ), y. B(-, 0) - x C(, -1), D(-, 1) - y x -. E(0, -), y. F(, ) G(-, -), H(, 1) y x x I(0, 0), y 6. J(-, -) K(1, ), L(-, -) y M(0, -), y 8. N(, ) - 9. S(, ), y 10. T(, -) x x x P(, 0), Q(1, -1) U(0, 1), W(1, 0) x - - y x - y x - Course 7

78 8 Line Plots Display each set of data in a line plot. 1. ages in years of customers in a store: 1,, 16, 16,, 19,,,, 16, 0, 1, test scores: 78, 9, 80, 8, 70, 88, 9, 90, 9, 8, 88, 79, 7, 90, 8, 8, 76, 7, 8, high temperatures: 7, 81, 7, 6, 76, 81, 77, 80, 6, 6, 80, 80, 76, 8, 66, 7, 80, 7 The line plot shows the number of home runs hit by the Major League Baseball home run leader for certain years. 7. What number of home runs occurs the most often? How many players hit this many home runs? 9. Find the mean, median, and mode of the data. Round to the nearest tenth if necessary.. points scored by a player in each basketball game: 8, 10,, 9, 1, 1,, 6,, 7, 0, 1, 1, 16, 0,,, 10, 18, 0, 6. number of pets: 0, 1,,, 0,, 1, 0, 1, 1, 10, 0, 1,, 6. number of stories in buildings:, 6,, 9,,,,,, 0,, 8. What is the range of the data? 9 home runs; 6 players home runs 7. home runs; 7 home runs; 9 home runs How many of the players hit 0 or more home runs? 17 players Course

79 9 Circle Graphs Construct a circle graph for each set of data. 1.. Color Percent of Students Red 19 Blue 17 Green 1 Yellow 7 Purple Other 10 Topping Number of Students Cheese 9 Pepperoni 7 Sausage 70 Mushroom 0 Peppers 0 Other 10 Favorite Pizza Toppings Favorite Colors The circle graph shows how Miguel divides the hours he is home in the evening between different activities.. How much time does he spend doing homework? Miguel s Evening Activities. How does the amount of time he spends watching television compare with the time he spends eating? 1. h or 1 h 1 min It is about double.. How much time does Miguel spend on his chores? 0.7 h or minutes 6. How much more time does he spend on homework than on the telephone? 7 min Course 76

80 0 Stem-and-Leaf Plots Display each set of data in a stem-and-leaf plot. 1. Test Scores Test Scores Stem Leaf = 7 points Height of Students (in.) Heights Stem Leaf = 0 in.. costs in dollars of shoes: 0, 6, 80, 96,, 70, 76, 80, 60, 7, 78, 9 Shoe Prices($) Stem Leaf = $0 The stem-and-leaf plot shows the number of people to attend different screenings of a movie.. Find the mean, median, and mode of the data. Round to the nearest tenth if necessary.. number of books in different collections: 88, 90, 10, 10, 67, 109, 97, 98, 86, 88, 86, 100, 10, 99, 90, 106 Books in Collections Stem Leaf = 67 books Movie Attendance Stem Leaf = 7 people 6. What is the range of the data? 10. people, 10 people, 78 and 96 people 7 people 77 Course

81 1 Histograms Display each set of data in a histogram. 1. Weekly Exercise Time Time (h) Tally Frequency Number of People Weekly Exercise Time 6 8 Time (h) Weekly Grocery Bill Amount ($) Tally Frequency The histogram shows the ages of Daytona 00 winners.. How many drivers were or older when they won? Number of Drivers Ages of Daytona 00 Winners Age (years). What percent of the drivers were 0 or over when they won? Round to the nearest tenth. 6 drivers.% Number of Families Weekly Grocery Bill Amount ($) Course 78

82 Measurement: The Customary System Complete inches =? feet. gallons =? pints 6. 8 ounces =? pounds. 6 yards =? inches fluid ounces =? cups feet =? yards tons =? pounds 8. 0 pints =? quarts 1, ,10 feet =? miles 10. gallons =? fluid ounces inches =? feet 1. 1 cups =? gallons Course

83 Measurement: The Customary System Complete quarts =? gallons. miles =? feet 10 1,10. 8 tons =? ounces. 6 fluid ounces =? gallons 6,000. miles =? inches 6. 96,000 ounces =? tons 16,70 7. gallons =? cups inches =? yards quarts =? fluid ounces 10. miles =? feet 6 10, tons =? ounces 1. 6 cups =? gallons 6,000 Course 80

84 Measurement: The Metric System Complete. 1. m =? cm. 1,00 g =? kg ml =? L. 00 mm =? cm kl =? L 6. 6,00 mg =? g, cm =? m 8. 1,100 L =? kl kg =? mg ,000 ml =? kl 1,000, , cm =? km 1. 0,000 mm =? km Course

85 Measurement: The Metric System Complete meters =? centimeters. 6,000 grams =? kilograms 1, milliliters =? liters. 600 millimeters =? centimeters kiloliters =? liters 6.,00 milligrams =? grams 6, centimeters =? meters 9. 8.,00 liters =? kiloliters 9. 0 kilograms =? 10. 0,000 milliliters =? milligrams kiloliters 0,000, ,0 centimeters =? kilometers 1. 60,000 millimeters =? kilometers Course 8

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