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Elementary Algebra 2e

Review Exercises

Elementary Algebra 2eReview Exercises
  1. Preface
  2. 1 Foundations
    1. Introduction
    2. 1.1 Introduction to Whole Numbers
    3. 1.2 Use the Language of Algebra
    4. 1.3 Add and Subtract Integers
    5. 1.4 Multiply and Divide Integers
    6. 1.5 Visualize Fractions
    7. 1.6 Add and Subtract Fractions
    8. 1.7 Decimals
    9. 1.8 The Real Numbers
    10. 1.9 Properties of Real Numbers
    11. 1.10 Systems of Measurement
    12. Key Terms
    13. Key Concepts
    14. Exercises
      1. Review Exercises
      2. Practice Test
  3. 2 Solving Linear Equations and Inequalities
    1. Introduction
    2. 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality
    3. 2.2 Solve Equations using the Division and Multiplication Properties of Equality
    4. 2.3 Solve Equations with Variables and Constants on Both Sides
    5. 2.4 Use a General Strategy to Solve Linear Equations
    6. 2.5 Solve Equations with Fractions or Decimals
    7. 2.6 Solve a Formula for a Specific Variable
    8. 2.7 Solve Linear Inequalities
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  4. 3 Math Models
    1. Introduction
    2. 3.1 Use a Problem-Solving Strategy
    3. 3.2 Solve Percent Applications
    4. 3.3 Solve Mixture Applications
    5. 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem
    6. 3.5 Solve Uniform Motion Applications
    7. 3.6 Solve Applications with Linear Inequalities
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  5. 4 Graphs
    1. Introduction
    2. 4.1 Use the Rectangular Coordinate System
    3. 4.2 Graph Linear Equations in Two Variables
    4. 4.3 Graph with Intercepts
    5. 4.4 Understand Slope of a Line
    6. 4.5 Use the Slope-Intercept Form of an Equation of a Line
    7. 4.6 Find the Equation of a Line
    8. 4.7 Graphs of Linear Inequalities
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  6. 5 Systems of Linear Equations
    1. Introduction
    2. 5.1 Solve Systems of Equations by Graphing
    3. 5.2 Solving Systems of Equations by Substitution
    4. 5.3 Solve Systems of Equations by Elimination
    5. 5.4 Solve Applications with Systems of Equations
    6. 5.5 Solve Mixture Applications with Systems of Equations
    7. 5.6 Graphing Systems of Linear Inequalities
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  7. 6 Polynomials
    1. Introduction
    2. 6.1 Add and Subtract Polynomials
    3. 6.2 Use Multiplication Properties of Exponents
    4. 6.3 Multiply Polynomials
    5. 6.4 Special Products
    6. 6.5 Divide Monomials
    7. 6.6 Divide Polynomials
    8. 6.7 Integer Exponents and Scientific Notation
    9. Key Terms
    10. Key Concepts
    11. Exercises
      1. Review Exercises
      2. Practice Test
  8. 7 Factoring
    1. Introduction
    2. 7.1 Greatest Common Factor and Factor by Grouping
    3. 7.2 Factor Trinomials of the Form x2+bx+c
    4. 7.3 Factor Trinomials of the Form ax2+bx+c
    5. 7.4 Factor Special Products
    6. 7.5 General Strategy for Factoring Polynomials
    7. 7.6 Quadratic Equations
    8. Key Terms
    9. Key Concepts
    10. Exercises
      1. Review Exercises
      2. Practice Test
  9. 8 Rational Expressions and Equations
    1. Introduction
    2. 8.1 Simplify Rational Expressions
    3. 8.2 Multiply and Divide Rational Expressions
    4. 8.3 Add and Subtract Rational Expressions with a Common Denominator
    5. 8.4 Add and Subtract Rational Expressions with Unlike Denominators
    6. 8.5 Simplify Complex Rational Expressions
    7. 8.6 Solve Rational Equations
    8. 8.7 Solve Proportion and Similar Figure Applications
    9. 8.8 Solve Uniform Motion and Work Applications
    10. 8.9 Use Direct and Inverse Variation
    11. Key Terms
    12. Key Concepts
    13. Exercises
      1. Review Exercises
      2. Practice Test
  10. 9 Roots and Radicals
    1. Introduction
    2. 9.1 Simplify and Use Square Roots
    3. 9.2 Simplify Square Roots
    4. 9.3 Add and Subtract Square Roots
    5. 9.4 Multiply Square Roots
    6. 9.5 Divide Square Roots
    7. 9.6 Solve Equations with Square Roots
    8. 9.7 Higher Roots
    9. 9.8 Rational Exponents
    10. Key Terms
    11. Key Concepts
    12. Exercises
      1. Review Exercises
      2. Practice Test
  11. 10 Quadratic Equations
    1. Introduction
    2. 10.1 Solve Quadratic Equations Using the Square Root Property
    3. 10.2 Solve Quadratic Equations by Completing the Square
    4. 10.3 Solve Quadratic Equations Using the Quadratic Formula
    5. 10.4 Solve Applications Modeled by Quadratic Equations
    6. 10.5 Graphing Quadratic Equations in Two Variables
    7. Key Terms
    8. Key Concepts
    9. Exercises
      1. Review Exercises
      2. Practice Test
  12. Answer Key
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
    9. Chapter 9
    10. Chapter 10
  13. Index

Review Exercises

Introduction to Whole Numbers

Use Place Value with Whole Number

In the following exercises find the place value of each digit.

913.

26,915

1 2 9 5 6

914.

359,417

9 3 4 7 1

915.

58,129,304

5 0 1 8 2

916.

9,430,286,157

6 4 9 0 5

In the following exercises, name each number.

917.

6,104

918.

493,068

919.

3,975,284

920.

85,620,435

In the following exercises, write each number as a whole number using digits.

921.

three hundred fifteen

922.

sixty-five thousand, nine hundred twelve

923.

ninety million, four hundred twenty-five thousand, sixteen

924.

one billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven

In the following exercises, round to the indicated place value.

925.

Round to the nearest ten.

407 8,564

926.

Round to the nearest hundred.

25,846 25,864

In the following exercises, round each number to the nearest hundred thousand ten thousand.

927.

864,951

928.

3,972,849

Identify Multiples and Factors

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

929.

168

930.

264

931.

375

932.

750

933.

1430

934.

1080

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

935.

420

936.

115

937.

225

938.

2475

939.

1560

940.

56

941.

72

942.

168

943.

252

944.

391

In the following exercises, find the least common multiple of the following numbers using the multiples method.

945.

6,15

946.

60, 75

In the following exercises, find the least common multiple of the following numbers using the prime factors method.

947.

24, 30

948.

70, 84

Use the Language of Algebra

Use Variables and Algebraic Symbols

In the following exercises, translate the following from algebra to English.

949.

257257

950.

5·65·6

951.

45÷545÷5

952.

x+8x+8

953.

42274227

954.

3n=243n=24

955.

320÷4320÷4

956.

a7·4a7·4

In the following exercises, determine if each is an expression or an equation.

957.

6·3+56·3+5

958.

y8=32y8=32

Simplify Expressions Using the Order of Operations

In the following exercises, simplify each expression.

959.

3535

960.

108108

In the following exercises, simplify

961.

6+10/2+26+10/2+2

962.

9+12/3+49+12/3+4

963.

20÷(4+6)·520÷(4+6)·5

964.

33÷(3+8)·233÷(3+8)·2

965.

(4+5)2(4+5)2

966.

(4+5)2(4+5)2

Evaluate an Expression

In the following exercises, evaluate the following expressions.

967.

9x+79x+7 when x=3x=3

968.

5x45x4 when x=6x=6

969.

x4x4 when x=3x=3

970.

3x3x when x=3x=3

971.

x2+5x8x2+5x8 when x=6x=6

972.

2x+4y52x+4y5 when
x=7,y=8x=7,y=8

Simplify Expressions by Combining Like Terms

In the following exercises, identify the coefficient of each term.

973.

12n12n

974.

9x29x2

In the following exercises, identify the like terms.

975.

3n,n2,12,12p2,3,3n23n,n2,12,12p2,3,3n2

976.

5,18r2,9s,9r,5r2,5s5,18r2,9s,9r,5r2,5s

In the following exercises, identify the terms in each expression.

977.

11x2+3x+611x2+3x+6

978.

22y3+y+1522y3+y+15

In the following exercises, simplify the following expressions by combining like terms.

979.

17a+9a17a+9a

980.

18z+9z18z+9z

981.

9x+3x+89x+3x+8

982.

8a+5a+98a+5a+9

983.

7p+6+5p47p+6+5p4

984.

8x+7+4x58x+7+4x5

Translate an English Phrase to an Algebraic Expression

In the following exercises, translate the following phrases into algebraic expressions.

985.

the sum of 8 and 12

986.

the sum of 9 and 1

987.

the difference of xx and 4

988.

the difference of xx and 3

989.

the product of 6 and yy

990.

the product of 9 and yy

991.

Adele bought a skirt and a blouse. The skirt cost $15 more than the blouse. Let bb represent the cost of the blouse. Write an expression for the cost of the skirt.

992.

Marcella has 6 fewer boy cousins than girl cousins. Let gg represent the number of girl cousins. Write an expression for the number of boy cousins.

Add and Subtract Integers

Use Negatives and Opposites of Integers

In the following exercises, order each of the following pairs of numbers, using < or >.

993.


6___26___2
−7___4−7___4
−9___−1−9___−1
9___−39___−3

994.


−5___1−5___1
−4___−9−4___−9
6___106___10
3___−83___−8

In the following exercises,, find the opposite of each number.

995.

−8−8 1

996.

−2−2 66

In the following exercises, simplify.

997.

(−19)(−19)

998.

(−53)(−53)

In the following exercises, simplify.

999.

mm when
m=3m=3
m=−3m=−3

1000.

pp when
p=6p=6
p=−6p=−6

Simplify Expressions with Absolute Value

In the following exercises,, simplify.

1001.

|7||7| |−25||−25| |0||0|

1002.

|5||5| |0||0| |−19||−19|

In the following exercises, fill in <, >, or = for each of the following pairs of numbers.

1003.


−8___|−8|−8___|−8|
|−2|___−2|−2|___−2

1004.


|−3|___|−3||−3|___|−3|
4___|−4|4___|−4|

In the following exercises, simplify.

1005.

|84||84|

1006.

|96||96|

1007.

8(142|−2|)8(142|−2|)

1008.

6(134|−2|)6(134|−2|)

In the following exercises, evaluate.

1009.

|x||x| when x=−28x=−28 |x||x| when x=−15x=−15

1010.


|y||y| when y=−37y=−37
|z||z| when z=−24z=−24

Add Integers

In the following exercises, simplify each expression.

1011.

−200+65−200+65

1012.

−150+45−150+45

1013.

2+(−8)+62+(−8)+6

1014.

4+(−9)+74+(−9)+7

1015.

140+(−75)+67140+(−75)+67

1016.

−32+24+(−6)+10−32+24+(−6)+10

Subtract Integers

In the following exercises, simplify.

1017.

9393

1018.

−5(−1)−5(−1)

1019.

156156 15+(−6)15+(−6)

1020.

129129 12+(−9)12+(−9)

1021.

8(−9)8(−9) 8+98+9

1022.

4(−4)4(−4) 4+44+4

In the following exercises, simplify each expression.

1023.

10(−19)10(−19)

1024.

11(−18)11(−18)

1025.

31793179

1026.

39813981

1027.

−3111−3111

1028.

−3218−3218

1029.

−15(−28)+5−15(−28)+5

1030.

71+(−10)871+(−10)8

1031.

−16(−4+1)7−16(−4+1)7

1032.

−15(−6+4)3−15(−6+4)3

Multiply Integers

In the following exercises, multiply.

1033.

−5(7)−5(7)

1034.

−8(6)−8(6)

1035.

−18(−2)−18(−2)

1036.

−10(−6)−10(−6)

Divide Integers

In the following exercises, divide.

1037.

−28÷7−28÷7

1038.

56÷(−7)56÷(−7)

1039.

−120÷(−20)−120÷(−20)

1040.

−200÷25−200÷25

Simplify Expressions with Integers

In the following exercises, simplify each expression.

1041.

−8(−2)3(−9)−8(−2)3(−9)

1042.

−7(−4)5(−3)−7(−4)5(−3)

1043.

(−5)3(−5)3

1044.

(−4)3(−4)3

1045.

−4·2·11−4·2·11

1046.

−5·3·10−5·3·10

1047.

−10(−4)÷(−8)−10(−4)÷(−8)

1048.

−8(−6)÷(−4)−8(−6)÷(−4)

1049.

314(39)314(39)

1050.

243(210)243(210)

Evaluate Variable Expressions with Integers

In the following exercises, evaluate each expression.

1051.

x+8x+8 when x=−26x=−26 x=−95x=−95

1052.

y+9y+9 when y=−29y=−29 y=−84y=−84

1053.

When b=−11b=−11, evaluate: b+6b+6 b+6b+6

1054.

When c=−9c=−9, evaluate:
c+(−4)c+(−4)> c+(−4)c+(−4)

1055.

p25p+2p25p+2 when
p=−1p=−1

1056.

q22q+9q22q+9 when q=−2q=−2

1057.

6x5y+156x5y+15 when x=3x=3 and y=−1y=−1

1058.

3p2q+93p2q+9 when p=8p=8 and q=−2q=−2

Translate English Phrases to Algebraic Expressions

In the following exercises, translate to an algebraic expression and simplify if possible.

1059.

the sum of −4−4 and −17−17, increased by 32

1060.

the difference of 15 and −7−7 subtract 15 from −7−7

1061.

the quotient of −45−45 and −9−9

1062.

the product of −12−12 and the difference of canddcandd

Use Integers in Applications

In the following exercises, solve.

1063.

Temperature The high temperature one day in Miami Beach, Florida, was 76°76°. That same day, the high temperature in Buffalo, New York was 8°8°. What was the difference between the temperature in Miami Beach and the temperature in Buffalo?

1064.

Checking Account Adrianne has a balance of $22$22 in her checking account. She deposits $301 to the account. What is the new balance?

Visualize Fractions

Find Equivalent Fractions

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

1065.

1414

1066.

1313

1067.

5656

1068.

2727

Simplify Fractions

In the following exercises, simplify.

1069.

721721

1070.

824824

1071.

15201520

1072.

12181218

1073.

168192168192

1074.

140224140224

1075.

11x11y11x11y

1076.

15a15b15a15b

Multiply Fractions

In the following exercises, multiply.

1077.

25·1325·13

1078.

12·3812·38

1079.

712(821)712(821)

1080.

512(815)512(815)

1081.

−28p(14)−28p(14)

1082.

−51q(13)−51q(13)

1083.

145(−15)145(−15)

1084.

−1(38)−1(38)

Divide Fractions

In the following exercises, divide.

1085.

12÷1412÷14

1086.

12÷1812÷18

1087.

45÷4745÷47

1088.

34÷3534÷35

1089.

58÷a1058÷a10

1090.

56÷c1556÷c15

1091.

7p12÷21p87p12÷21p8

1092.

5q12÷15q85q12÷15q8

1093.

25÷(−10)25÷(−10)

1094.

−18÷(92)−18÷(92)

In the following exercises, simplify.

1095.

23892389

1096.

4581545815

1097.

91039103

1098.

258258

1099.

r5s3r5s3

1100.

x689x689

Simplify Expressions Written with a Fraction Bar

In the following exercises, simplify.

1101.

4+1184+118

1102.

9+379+37

1103.

3071230712

1104.

15491549

1105.

2214191322141913

1106.

15+918+1215+918+12

1107.

5·8−105·8−10

1108.

3·4−243·4−24

1109.

15·5522·1015·5522·10

1110.

12·9323·1812·9323·18

1111.

2+4(3)−3222+4(3)−322

1112.

7+3(5)−2327+3(5)−232

Translate Phrases to Expressions with Fractions

In the following exercises, translate each English phrase into an algebraic expression.

1113.

the quotient of c and the sum of d and 9.

1114.

the quotient of the difference of h and k, and −5−5.

Add and Subtract Fractions

Add and Subtract Fractions with a Common Denominator

In the following exercises, add.

1115.

49+1949+19

1116.

29+5929+59

1117.

y3+23y3+23

1118.

7p+9p7p+9p

1119.

18+(38)18+(38)

1120.

18+(58)18+(58)

In the following exercises, subtract.

1121.

45154515

1122.

45354535

1123.

y17917y17917

1124.

x19819x19819

1125.

8d3d8d3d

1126.

7c7c7c7c

Add or Subtract Fractions with Different Denominators

In the following exercises, add or subtract.

1127.

13+1513+15

1128.

14+1514+15

1129.

15(110)15(110)

1130.

12(16)12(16)

1131.

23+3423+34

1132.

34+2534+25

1133.

111238111238

1134.

5871258712

1135.

916(45)916(45)

1136.

720(58)720(58)

1137.

1+561+56

1138.

159159

Use the Order of Operations to Simplify Complex Fractions

In the following exercises, simplify.

1139.

(15)22+32(15)22+32

1140.

(13)25+22(13)25+22

1141.

23+12342323+123423

1142.

34+12562334+125623

Evaluate Variable Expressions with Fractions

In the following exercises, evaluate.

1143.

x+12x+12 when
x=18x=18
x=12x=12

1144.

x+23x+23 when
x=16x=16
x=53x=53

1145.

4p2q4p2q when p=12p=12 and q=59q=59

1146.

5m2n5m2n when m=25m=25 and n=13n=13

1147.

u+vwu+vw when
u=−4,v=−8,w=2u=−4,v=−8,w=2

1148.

m+npm+np when
m=−6,n=−2,p=4m=−6,n=−2,p=4

Decimals

Name and Write Decimals

In the following exercises, write as a decimal.

1149.

Eight and three hundredths

1150.

Nine and seven hundredths

1151.

One thousandth

1152.

Nine thousandths

In the following exercises, name each decimal.

1153.

7.8

1154.

5.01

1155.

0.005

1156.

0.381

Round Decimals

In the following exercises, round each number to the nearest hundredth tenth whole number.

1157.

5.7932

1158.

3.6284

1159.

12.4768

1160.

25.8449

Add and Subtract Decimals

In the following exercises, add or subtract.

1161.

18.37+9.3618.37+9.36

1162.

256.3785.49256.3785.49

1163.

15.3520.8815.3520.88

1164.

37.5+12.2337.5+12.23

1165.

−4.2+(−9.3)−4.2+(−9.3)

1166.

−8.6+(−8.6)−8.6+(−8.6)

1167.

10064.210064.2

1168.

10065.8310065.83

1169.

2.51+402.51+40

1170.

9.38+609.38+60

Multiply and Divide Decimals

In the following exercises, multiply.

1171.

(0.3)(0.4)(0.3)(0.4)

1172.

(0.6)(0.7)(0.6)(0.7)

1173.

(8.52)(3.14)(8.52)(3.14)

1174.

(5.32)(4.86)(5.32)(4.86)

1175.

(0.09)(24.78)(0.09)(24.78)

1176.

(0.04)(36.89)(0.04)(36.89)

In the following exercises, divide.

1177.

0.15÷50.15÷5

1178.

0.27÷30.27÷3

1179.

$8.49÷12$8.49÷12

1180.

$16.99÷9$16.99÷9

1181.

12÷0.0812÷0.08

1182.

5÷0.045÷0.04

Convert Decimals, Fractions, and Percents

In the following exercises, write each decimal as a fraction.

1183.

0.08

1184.

0.17

1185.

0.425

1186.

0.184

1187.

1.75

1188.

0.035

In the following exercises, convert each fraction to a decimal.

1189.

2525

1190.

4545

1191.

3838

1192.

5858

1193.

5959

1194.

2929

1195.

12+6.512+6.5

1196.

14+10.7514+10.75

In the following exercises, convert each percent to a decimal.

1197.

5%

1198.

9%

1199.

40%

1200.

50%

1201.

115%

1202.

125%

In the following exercises, convert each decimal to a percent.

1203.

0.18

1204.

0.15

1205.

0.009

1206.

0.008

1207.

1.5

1208.

2.2

The Real Numbers

Simplify Expressions with Square Roots

In the following exercises, simplify.

1209.

6464

1210.

144144

1211.

2525

1212.

8181

Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers

In the following exercises, write as the ratio of two integers.

1213.

9 8.47

1214.

−15−15 3.591

In the following exercises, list the rational numbers, irrational numbers.

1215.

0.84,0.79132,1.30.84,0.79132,1.3

1216.

2.38,0.572,4.938142.38,0.572,4.93814

In the following exercises, identify whether each number is rational or irrational.

1217.

121121 4848

1218.

5656 1616

In the following exercises, identify whether each number is a real number or not a real number.

1219.

−9−9 169169

1220.

−64−64 8181

In the following exercises, list the whole numbers, integers, rational numbers, irrational numbers, real numbers for each set of numbers.

1221.

−4,0,56,16,18,5.2537−4,0,56,16,18,5.2537

1222.

4,0.36,133,6.9152,48,10124,0.36,133,6.9152,48,1012

Locate Fractions on the Number Line

In the following exercises, locate the numbers on a number line.

1223.

23,54,12523,54,125

1224.

13,74,13513,74,135

1225.

213,−213213,−213

1226.

135,−135135,−135

In the following exercises, order each of the following pairs of numbers, using < or >.

1227.

−1___18−1___18

1228.

−314___−4−314___−4

1229.

79___4979___49

1230.

−2___198−2___198

Locate Decimals on the Number Line

In the following exercises, locate on the number line.

1231.

0.30.3

1232.

−0.2−0.2

1233.

−2.5−2.5

1234.

2.7

In the following exercises, order each of the following pairs of numbers, using < or >.

1235.

0.9___0.60.9___0.6

1236.

0.7___0.80.7___0.8

1237.

−0.6___−0.59−0.6___−0.59

1238.

−0.27___−0.3−0.27___−0.3

Properties of Real Numbers

Use the Commutative and Associative Properties

In the following exercises, use the Associative Property to simplify.

1239.

−12(4m)−12(4m)

1240.

30(56q)30(56q)

1241.

(a+16)+31(a+16)+31

1242.

(c+0.2)+0.7(c+0.2)+0.7

In the following exercises, simplify.

1243.

6y+37+(−6y)6y+37+(−6y)

1244.

14+1115+(14)14+1115+(14)

1245.

1411+359+(1411)1411+359+(1411)

1246.

−18·15·29−18·15·29

1247.

(712+45)+15(712+45)+15

1248.

(3.98d+0.75d)+1.25d(3.98d+0.75d)+1.25d

1249.

11x+8y+16x+15y11x+8y+16x+15y

1250.

52m+(−20n)+(−18m)+(−5n)52m+(−20n)+(−18m)+(−5n)

Use the Identity and Inverse Properties of Addition and Multiplication

In the following exercises, find the additive inverse of each number.

1251.


1313
5.15.1
−14−14
8585

1252.


7878
−0.03−0.03
1717
125125

In the following exercises, find the multiplicative inverse of each number.

1253.

10 4949 0.6

1254.

9292 −7−7 2.1

Use the Properties of Zero

In the following exercises, simplify.

1255.

83·083·0

1256.

0909

1257.

5050

1258.

0÷230÷23

In the following exercises, simplify.

1259.

43+39+(−43)43+39+(−43)

1260.

(n+6.75)+0.25(n+6.75)+0.25

1261.

513·57·135513·57·135

1262.

16·17·1216·17·12

1263.

23·28·3723·28·37

1264.

9(6x11)+159(6x11)+15

Simplify Expressions Using the Distributive Property

In the following exercises, simplify using the Distributive Property.

1265.

7(x+9)7(x+9)

1266.

9(u4)9(u4)

1267.

−3(6m1)−3(6m1)

1268.

−8(−7a12)−8(−7a12)

1269.

13(15n6)13(15n6)

1270.

(y+10)·p(y+10)·p

1271.

(a4)(6a+9)(a4)(6a+9)

1272.

4(x+3)8(x7)4(x+3)8(x7)

Systems of Measurement

1.1 Define U.S. Units of Measurement and Convert from One Unit to Another

In the following exercises, convert the units. Round to the nearest tenth.

1273.

A floral arbor is 7 feet tall. Convert the height to inches.

1274.

A picture frame is 42 inches wide. Convert the width to feet.

1275.

Kelly is 5 feet 4 inches tall. Convert her height to inches.

1276.

A playground is 45 feet wide. Convert the width to yards.

1277.

The height of Mount Shasta is 14,179 feet. Convert the height to miles.

1278.

Shamu weights 4.5 tons. Convert the weight to pounds.

1279.

The play lasted 134134 hours. Convert the time to minutes.

1280.

How many tablespoons are in a quart?

1281.

Naomi’s baby weighed 5 pounds 14 ounces at birth. Convert the weight to ounces.

1282.

Trinh needs 30 cups of paint for her class art project. Convert the volume to gallons.

Use Mixed Units of Measurement in the U.S. System.

In the following exercises, solve.

1283.

John caught 4 lobsters. The weights of the lobsters were 1 pound 9 ounces, 1 pound 12 ounces, 4 pounds 2 ounces, and 2 pounds 15 ounces. What was the total weight of the lobsters?

1284.

Every day last week Pedro recorded the number of minutes he spent reading. The number of minutes were 50, 25, 83, 45, 32, 60, 135. How many hours did Pedro spend reading?

1285.

Fouad is 6 feet 2 inches tall. If he stands on a rung of a ladder 8 feet 10 inches high, how high off the ground is the top of Fouad’s head?

1286.

Dalila wants to make throw pillow covers. Each cover takes 30 inches of fabric. How many yards of fabric does she need for 4 covers?

Make Unit Conversions in the Metric System

In the following exercises, convert the units.

1287.

Donna is 1.7 meters tall. Convert her height to centimeters.

1288.

Mount Everest is 8,850 meters tall. Convert the height to kilometers.

1289.

One cup of yogurt contains 488 milligrams of calcium. Convert this to grams.

1290.

One cup of yogurt contains 13 grams of protein. Convert this to milligrams.

1291.

Sergio weighed 2.9 kilograms at birth. Convert this to grams.

1292.

A bottle of water contained 650 milliliters. Convert this to liters.

Use Mixed Units of Measurement in the Metric System

In the following exerices, solve.

1293.

Minh is 2 meters tall. His daughter is 88 centimeters tall. How much taller is Minh than his daughter?

1294.

Selma had a 1 liter bottle of water. If she drank 145 milliliters, how much water was left in the bottle?

1295.

One serving of cranberry juice contains 30 grams of sugar. How many kilograms of sugar are in 30 servings of cranberry juice?

1296.

One ounce of tofu provided 2 grams of protein. How many milligrams of protein are provided by 5 ounces of tofu?

Convert between the U.S. and the Metric Systems of Measurement

In the following exercises, make the unit conversions. Round to the nearest tenth.

1297.

Majid is 69 inches tall. Convert his height to centimeters.

1298.

A college basketball court is 84 feet long. Convert this length to meters.

1299.

Caroline walked 2.5 kilometers. Convert this length to miles.

1300.

Lucas weighs 78 kilograms. Convert his weight to pounds.

1301.

Steve’s car holds 55 liters of gas. Convert this to gallons.

1302.

A box of books weighs 25 pounds. Convert the weight to kilograms.

Convert between Fahrenheit and Celsius Temperatures

In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

1303.

95° Fahrenheit

1304.

23° Fahrenheit

1305.

20° Fahrenheit

1306.

64° Fahrenheit

In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

1307.

30° Celsius

1308.

–5° Celsius

1309.

–12° Celsius

1310.

24° Celsius

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