# Exercise Worksheets

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Exercise WorksheetsCopyright 2002 Susan D. Phillips

ContentsWHOLE NUMBERSSTATISTICS1. Adding24. Graphs2. Subtracting25. Mean, Median & Mode3. Multiplying4. DividingREAL NUMBERS5. Order of Operations26. The Basics27. Add & SubtractFRACTIONS28. Multiply & Divide6. Mixed Numbers7. Prime FactorizationALGEBRA8. Least Common Multiple29. Evaluating Expressions9. Simplifying Fractions30. Properties10. Add & Subtract Fractions31. Simplifying Expressions11. Add & Subtract Mixed Numbers32. Equations: Addition Principle12. Multiply Fractions33. Equations: Mult. Principle13. Divide Fractions34. Multistep Equations35. FormulasDECIMALS36. Word Problems14. Decimals to Fractions15. Add & Subtract DecimalsGEOMETRY16. Multiply Decimals37. Lines & Angles17. Divide Decimals38. Quadrilaterals39. TrianglesRATIOS & PERCENTS40. Circles18. Ratios & Rates41. Composite Figures19. Proportions42. Volume20. Converting Percents21. Percents Problems22. Measurements - American23. Measurements - MetricANSWERS

Worksheet #1Adding Whole NumbersAdd.147 325678 426943893377 1689285 162846 16351024,592 46,26837294 3725044241 217311587,938 629,777425 578965748 4821299,763,500 2,827,449

Worksheet #2Subtracting Whole NumbersSubtract.147- 5535- 89776- 498295- 316652- 251101904- 625368- 627821- 5071170,801- 62,762487- 208493- 37121,344,192- 804,663

Worksheet #3Multiplying Whole NumbersMultiply.172x 45205x 349776x 98239x 66376x 18102309x 278381x 577800x 30113650x 400446x 728493x 671279,248x 589

Worksheet #4Dividing Whole NumbersDivide. Round your answer to the hundredths place.13 15654 1289928 77027 58869 223010289 580136 39736 162011325 634445 128861 4271276 30,027

Worksheet #5Order of Operations & ExponentsFind the value.Write in exponent form.18 x 8 x 8 x 8 x 85252267 x 267610331 x 1 x 1 x 1 x 171614858370Calculate.932 6 - 2 x 7107 x (43 - 6)112412124 - 3 x (7 52)1320223 x 355 x 2 - (6 2) x 7

Worksheet #6Fractions: Mixed NumbersIdentify which of the following are improper fractions.1a) 212b) 45c) 83126d) 76Change the mixed numbers to improper fractions.22 436 11412 859 3687 41517456169Change the improper fractions to mixed numbers.7838107956171013211119493

Worksheet #7Prime FactorizationFind all of the factors.1627345420Identify which of the following numbers are prime:5a) 14b) 4c) 11d) 9e) 3f) 17Find the prime factorization. Use exponents when applicable.61276081893310105111251242

Worksheet #8Least Common MultipleFind the LCM.12 and 572, 6, 8 and 1222, 3 and 483, 4 and 538 and 1095, 15 and 2046 and 81040 and 18059 and 3011108 and 7263, 5, and 6126, 8 and 36

Worksheet #9Simplifying FractionsSimplify to lowest 911361263542124 2963029

Worksheet #10Adding & Subtracting FractionsAdd or subtract as indicated. Reduce to lowest terms.1123 17177811-5112111 12128716-5163782 101010979-23412 321023-16538 21114750-310656 411212-15

Worksheet #11Adding & Subtracting Mixed NumbersAdd or subtract as indicated. Reduce to lowest terms.11 31 2 3172 32-1323 87 1 8586 21-33221617 4910 - 3416310 5 100109385235 91011112-71065 1 3 5122 1-1 3498 2 122-235564

Worksheet #12Multiplying FractionsMultiply. Reduce to lowest terms.1212334x( 59 ) ( 103 )154125x23465( 163 ) (8)26( )73 88(2 12 ) ( 3 15 )91035756(112)559x321625

Worksheet #13Dividing FractionsDivide. Reduce to lowest 034515717215

Worksheet #14Decimals to FractionsFind the equivalent fraction. Reduce to lowest 411089.3205

Worksheet #15Adding and Subtracting DecimalsAdd or subtract as indicated.11.1 2.860.9 - 0.223.5 6.14712.66 - 3.4139.242 0.87835.87 - 10.241.306 5.5 46.77940.4 - 6.3752.01 8 0.5931028 - 15.59

Worksheet #16Multiplying DecimalsMultiply.10.767023.197(1.504) (1000)8(0.5)293.4 x 10106.22701x 0.420.12x30.631.002x 940.63x 10050.0085x 0.0440.018

Worksheet #17Dividing DecimalsDivide. Round your answerWrite as an equivalent decimal.to the hundredths place.Round to the thousandths place.19 211.567820.2 .31752134.6 58891041.6320.089435758.709100108120

Worksheet #18Ratios & RatesWrite each ratio as a fraction in lowest terms.Write each rate as a fraction in lowest terms.130 feet to 60 feet548 gallons in 14 mins245 mph to 25 mph621 females to 51 males36 minutes to 16 minutes7 4.20 for 36 potatoes4 300 to 450872 correct answers out of96 questionsFind the unit rate.91500 meters in 6 seconds10 192 miles per 6 gallons.115 cars for 20 people12 36 for 4 lbs of shrimp

Worksheet #19ProportionsWrite each proportion.148 is to 32 as 3 is to 2.26 adults is to 10 children as 18 adults is to 30 children.3If 12 pens cost 4, then 33 pens will cost 11.Determine if each proportion is true or false:4237548 acres 144 bags seed61228 165 acres15 bags seed18 42Solve each proportion to find the value of “x”.736 x8852x 4191512 10x1018x 281134 3.812x122.4x 2135

Worksheet #20Converting PercentsWrite each percent as a fraction ormixed number. Simplify.Write each percent as a 1%2Write each decimal as a percent.1%2Write each fraction as a percent.11 0.33163412 0.04172513 2.511811014 6.8191815 32032 5

Worksheet #21Percents ProblemsSolve.1What is 35% of 200?215% of what amount is 6?330 is what percent of 20?4Find 102% of 2000.5What percent of 80 is 60?614 is 70% of what number?7What is 0.5% of 3.2?82.5 is what percent of 4?95 is what percent of 15?1012.5% of 32 is what number?11What percent of 8.7 is 17.4?12What is 3.1% of 60?

Worksheet #22Measurements: American UnitsConvert.126 ft in214 pt qt39 yd 412 oz 53.5 gal 62.43 tons 7250 min 85.5 mi yd94 days hours106600 ft ftlbqtlbhrmi

Worksheet #23Measurements: Metric UnitsConvert.12L 224 kL 3420 g kg41.5 g mg580 m km63500 mm 7400 cm 83.8 m 910,000 mL 100.002 kg mLLmmmcmLmg

Worksheet #24Statistics: GraphsRefer to the circle graph in the tutorial to answer the following questions.1What percent of caloric intake should be from fat?2What is the ratio of protein to carbohydrates? Write in lowest terms.3How many grams of carbohydrates should one have for every 6 gramsof protein?Refer to the line graphs in the tutorial to answer the following questions.4In the year of highest overall video sales, approximately how manyvideos were sold?5DVD sales exceeded VHS sales for the first time in what year?6Write the ratio between VHS sales and DVD sales in 1997.Refer to the bar graphs in the tutorial to answer the following questions.7Which month had the greatest number of guests at the Dove Hotel?8In which months did the majority of guests choose the mealplan?9Approximately how many guests chose the mealplan in June?Refer to the histogram in the tutorial to answer the following questions.10Which age range (class interval) has the highest class frequency?11Which class interval has the lowest class frequency?12How many members of the club are between 1 and 20 years old?

Worksheet #25Statistics: Mean, Median & ModeFind the mean.12, 6, 15, 3, 1, 8, 7234, 57, 68, 12, 93216, 103Find the median.42, 3, 8, 17, 215102, 138, 194, 320, 322, 387, 569615, 26, 1701Find the mode.72, 3, 3, 3, 3, 5, 7, 7, 9, 16, 16816, 37, 82, 82, 95, 95, 95, 101, 12392.1, 3.2, 3.2, 3.6, 3.9, 4.3

Worksheet #26Real Numbers: The BasicsFill in the operator ( , or ) thatmakes the statement true.Find the number equivalent to thefollowing absolute values.119 56 6 2- 3 37 -5 30 - 128 0 4- 7 - 79- 2 5- 22 - 4810- -8 Find the opposite of each number.Write TRUE or FALSE for eachstatement.11916 -8 012- 3417 -2 213018 -6 -5 14- 5.1193 -(-4)153720- - 9 - - 15

Worksheet #27Real Numbers: Adding & SubtractingFind the sum or difference as indicated.18 (-2)2- 7 1035 (-9)4-6 (-3)512 ( - 12 )6( - 34 ) 17 ( - 88 ) 57- 0.4 183 - 1997 - (-4)10-5 - 511- 23 - 612-2 (-4) - 9 8131 - (-1) 6 (-6) - 2146.5 ( - 8.3 ) - ( - 1.6 ) 0.7 - 9.9

Worksheet #28Real Numbers: Multiplying and DividingFind the product.Find the quotient. Simplify.1 (3)(-6)13- 162 (-2)(-7)14-93 -115- 1004 4(-8)16205 (-2)217- 52(-1)6 (5)(-3)(-9)(1)18- 1.557 (-1)319-1-2203-4-348 - 8615(4)0(-8)910(-4)9( 56 ) ( 23 )2110( 27 ) 322 - 6 - ( - 1)11( 12 ) 212 2 125(- 3 )( 15 )23( 13 )7224 2 ( - 0.3 )-6

Worksheet #29Algebra: Evaluating ExpressionsEvaluate each expression.1Let n 312 n2Let S 163S3Let x - 7-x x4Let p - 2p35Let m 500m1006Let q 47q0Evaluate. Let x - 2 and y - 37x - y112x 2y8xy12- xy9x4 y313( 2xy )210 x yy - x144x y - 1

Worksheet #30Algebra: PropertiesIdentify the property as commutative, associative or distributive.1a b b aab ba2a (b c) (a b) ca(bc) (ab)c3a ( b c ) ab aca ( b - c ) ab - aca bab cccRewrite using the commutative property.4x y5t 106pqRewrite using the associative property.7(x y) z8x(yz)97(ab)

Worksheet #30Algebra: Properties (continued)Rewrite using the distributive property.10 e ( g h )11 f ( j - s )12 5 ( a b )13 3 ( x 6 )14 2 ( 5x - 1 )15 a ( x y 4 )16e fg17x 88Rewrite by factoring.18 ab ac19 2b 2c20 7x 4x21 15s - 11s22 ax bx cx

Worksheet #31Algebra: Simplifying ExpressionsCollect like terms to find an equivalent expression.13x 6x28x 4y - 5x - 7y310x - x4- 9x x513 5t 6y - t - y - 26a - 4a78x - 5x 3 2y - y - 1Remove parentheses to find an equivalent expression.8-(3 x)9- ( 5x 7 )10- ( - 2x - 6y 4 )11- ( 10x - 17 )12- 2 ( 4x 8 )Remove parentheses and collect like terms to find an equivalent expression.136y - ( 5x - 2y 8 )143a 2a - ( 5a 6 )155y - 2 - ( 2y - 4 )1620a - 3 ( 6a - 2 )17[ 3 ( x 2 ) 2x ] - [ 4 ( y 2 ) - 3 ( y - 2 ) ]

Worksheet #32Equations: Addition PrincipleSolve using the addition principle.1x 3 - 122m-5 -23- 8 y 194z 3.2 5.75e 1 965 q-17t - 14 08n 7 3940 - 2 x105 b 2 12143

Worksheet #33Equations: Multiplication PrincipleSolve using the multiplication principle.15x 40212y 363- 7y 1443s - 5751 v 4526x 347n 11281.7w 6.893 7x10a 1510

Worksheet #34Algebra: Multistep EquationsSolve for x.19x - 5 1323x 12 2438x - 2 4 5x42 ( 3x 4 ) x 655x 8766 - 2 ( x 3 ) 1 4x7- 8x - 10 - 387x 3x - ( 10x 2 ) 5 x9x2 6 16108 2(x-7) 0

Worksheet #35Algebra: FormulasEvaluate the following formulas. Use the given values to find the values ofthe remaining variables.1P 4s2A x y z33A x y z34P 64Find s.x 5y 3z 4Find A.A 6x 9y 2Find z.F 9C 32C - 20Find F.5P 2L 2WL 8W 7Find P.6P 2L 2WP 56L 12Find W.7d rtFind t.8P a b cFind b.5

Worksheet #361Algebra: Word ProblemsJennifer has 26 less than triple the savings of Matthew. Matthew hassaved 81. How much has Jennifer saved?21Mark has consumed 5 of a box of cookies, and Patricia has gobbled up2another 3 . If the box origonally had 60 cookies, how many are nowleft?3Harold has typed 14 more pages than Rebecca. Together they havetyped a total of 138 pages. How many pages have each of them typed?4The sum of 3 consecutive whole numbers is 72. What are the 3numbers?5Jerome ate 4 of the pizza. How much did that leave for Zachary?11

Worksheet #37Geometry: Lines & AnglesIdentify each of the following angles as right, straight, acute or obtuse.112218039749051636897A andB are congruent. Ifment ofB?8E andF are complimentary. Ifsurement ofF?E is 35 , what is the mea-9S andT are supplementary. Ifsurement ofT?S is 98 , what is the mea-A is 50 , what is the measure-

Worksheet #38Geometry: Quadrilaterals8m6m1Find the perimeter of the rectangle.2Find the area of the rectangle.7 ft3Find the perimeter of the square.4Find the area of the square.12 km4 km6 km5Find the perimeter of the parallelogram.6Find the area of the parallelogram.10 mm7 mm6 mm8 mm15 mm7Find the perimeter of the trapezoid.8Find the area of the trapezoid.9What is the sum of the angles of a quadrilateral?

Worksheet #3926 inGeometry: Triangles34 in21 in39 in1Find the perimeter of the triangle.2Find the area of the triangle.2m4m3m2m?3m3Find the missing side to the similar triangles.4What is the sum of the angles of a triangle?Identify the type of each triangle according to its description.52 equal sides, 2 equal angles63 acute angles71 right angle83 equal sides, 3 equal angles9no equal sides, no equal angles10 1 obtuse angle

Worksheet #40Circles1A circle has a diameter of 48 km. What is the radius?2Find the diameter of a circle whose radius is 10 miles.3What is the value of4Find the circumference of a circle whose diameter is 19 m.5Find the circumference of a circle whose radius is 2.5 ft.6Find the area of a circle whose radius is 7 mm.7Find the area of a circle whose diameter is 18 yd.8Find the area of a semicircle whose radius is 5 cm.π, rounded to the hundredths place?

Worksheet #41Geometry: Composite Figures10 m6m7m3m1Find the perimeter of the above figure.2Find the area of the above figure.4 in4 in3Find the perimeter of the above figure.4Find the area of the above figure.58 m22 m540 mFind the shaded area of the above figure.

Worksheet #42Geometry: VolumeFind the volume of the following figures.1A rectangular solid that is 6 mm long, 4 mm wide and 8 mm high.2A pyramid whose length 12 ft, width 7 ft, and height 10 ft.3A cone whose radius 4m, and height 18 m.4A sphere with a radius of 6 km.5A hemisphere with a radius of 3 in.6A cylinder whose radius 9 yd and height 2 yd.

1. Adding 2. Subtracting 3. Multiplying 4. Dividing 5. Order of Operations FRACTIONS 6. Mixed Numbers 7. Prime Factorization 8. Least Common Multiple 9. Simplifying Fractions 10. Add & Subtract Fractions 11. Add & Subtract Mixed Numbers 12. Multiply Fractions 13. Divide Fractions DECIMALS 14. Decimals to Fractions 15. Add & Subtract Decimals 16 .

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