Back to Elementary Algebra 2e

1.10 Systems of Measurement

Unit conversion inside the US and metric systems, arithmetic with mixed units, crossing between the two, and Fahrenheit-Celsius.

Elementary Algebra 2e, 1.10 Systems of Measurement

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291 exercises

1.10 Exercise 2

Lexie is 30 inches tall. Convert her height to feet.

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1.10 Exercise 3

Rene bought a hose that is 18 yards long. Convert the length to feet.

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1.10 Exercise 5

Arnold’s SUV weighs about 4.3 tons. Convert the weight to pounds.

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1.10 Exercise 6

The Carnival Destiny cruise ship weighs 51,000 tons. Convert the weight to pounds.

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1.10 Exercise 8

The distance between the earth and the moon is about 250,000 miles. Convert this length to yards.

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1.10 Exercise 9

The astronauts of Expedition 28 on the International Space Station spend 15 weeks in space. Convert the time to minutes.

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1.10 Exercise 11

How many cups are in 1 gallon?

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1.10 Exercise 12

How many teaspoons are in 1 cup?

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1.10 Exercise 14

Laura gave birth to triplets weighing 3 pounds 3 ounces, 3 pounds 3 ounces, and 2 pounds 9 ounces. What was the total birth weight of the three babies?

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1.10 Exercise 15

Stan cut two pieces of crown molding for his family room that were 8 feet 7 inches and 12 feet 11 inches. What was the total length of the molding?

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1.10 Exercise 17

Henri wants to triple his spaghetti sauce recipe that uses 1 pound 8 ounces of ground turkey. How many pounds of ground turkey will he need?

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1.10 Exercise 18

Joellen wants to double a solution of 5 gallons 3 quarts. How many gallons of solution will she have in all?

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1.10 Exercise 20

Sandy completed her first 5K race! How many meters did she run?

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1.10 Exercise 21

Herman bought a rug 2.5 meters in length. How many centimeters is the length?

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1.10 Exercise 23

Kari’s newborn baby weighed 2,800 grams. How many kilograms did the baby weigh?

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1.10 Exercise 24

Anderson received a package that was marked 4,500 grams. How many kilograms did this package weigh?

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1.10 Exercise 26

Convert: ⓐ 725 L to kiloliters ⓑ 6.3 L to milliliters

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1.10 Exercise 27

Convert: ⓐ 350 hL to liters ⓑ 4.1 L to centiliters

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1.10 Exercise 28

Ryland is 1.6 meters tall. His younger brother is 85 centimeters tall. How much taller is Ryland than his younger brother?

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1.10 Exercise 29

Mariella is 1.58 meters tall. Her daughter is 75 centimeters tall. How much taller is Mariella than her daughter? Write the answer in centimeters.

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1.10 Exercise 30

The fence around Hank’s yard is 2 meters high. Hank is 96 centimeters tall. How much shorter than the fence is Hank? Write the answer in meters.

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1.10 Exercise 31

Dena’s recipe for lentil soup calls for 150 milliliters of olive oil. Dena wants to triple the recipe. How many liters of olive oil will she need?

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1.10 Exercise 32

A recipe for Alfredo sauce calls for 250 milliliters of milk. Renata is making pasta with Alfredo sauce for a big party and needs to multiply the recipe amounts by 8. How many liters of milk will she need?

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1.10 Exercise 33

To make one pan of baklava, Dorothea needs 400 grams of filo pastry. If Dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?

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1.10 Exercise 34

Lee’s water bottle holds 500 mL of water. How many ounces are in the bottle? Round to the nearest tenth of an ounce.

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1.10 Exercise 35

How many quarts of soda are in a 2-L bottle?

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1.10 Exercise 36

How many liters are in 4 quarts of milk?

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1.10 Exercise 37

Soleil was on a road trip and saw a sign that said the next rest stop was in 100 kilometers. How many miles until the next rest stop?

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1.10 Exercise 38

The height of Mount Kilimanjaro is 5,895 meters. Convert the height to feet.

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1.10 Exercise 39

The flight distance from New York City to London is 5,586 kilometers. Convert the distance to miles.

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1.10 Exercise 41

Convert the Fahrenheit temperature to degrees Celsius: 59°59 ° Fahrenheit.

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1.10 Exercise 42

Convert the Fahrenheit temperature to degrees Celsius: 41°41 ° Fahrenheit.

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1.10 Exercise 44

Convert the Celsius temperature to degrees Fahrenheit: the temperature in Helsinki, Finland, was 15°15 ° Celsius.

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1.10 Exercise 45

Convert the Celsius temperature to degrees Fahrenheit: the temperature in Sydney, Australia, was 10°10 ° Celsius.

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1.10 Exercise 46

Convert the units.

A park bench is 6 feet long. Convert the length to inches.

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1.10 Exercise 48

Convert the units.

A ribbon is 18 inches long. Convert the length to feet.

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1.10 Exercise 50

Convert the units.

A football field is 160 feet wide. Convert the width to yards.

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1.10 Exercise 52

Convert the units.

Ulises lives 1.5 miles from school. Convert the distance to feet.

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1.10 Exercise 54

Convert the units.

A killer whale weighs 4.6 tons. Convert the weight to pounds.

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1.10 Exercise 56

Convert the units.

An empty bus weighs 35,000 pounds. Convert the weight to tons.

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1.10 Exercise 58

Convert the units.

Rocco waited 1121 \frac{1}{2} hours for his appointment. Convert the time to seconds.

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1.10 Exercise 60

Convert the units.

How many teaspoons are in a pint?

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1.10 Exercise 62

Convert the units.

JJ’s cat, Posy, weighs 14 pounds. Convert her weight to ounces.

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1.10 Exercise 64

Convert the units.

Crista will serve 20 cups of juice at her son’s party. Convert the volume to gallons.

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1.10 Exercise 66

Convert the units.

Jon is 6 feet 4 inches tall. Convert his height to inches.

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1.10 Exercise 68

Convert the units.

The voyage of the Mayflower took 2 months and 5 days. Convert the time to days.

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1.10 Exercise 70

Convert the units.

Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.

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1.10 Exercise 72

Solve.

Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces, and 4 pounds 14 ounces. What was the total weight of the three fish?

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1.10 Exercise 74

Solve.

One day Anya kept track of the number of minutes she spent driving. She recorded 45, 10, 8, 65, 20, and 35. How many hours did Anya spend driving?

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1.10 Exercise 76

Solve.

Renee attached a 6 feet 6 inch extension cord to her computer’s 3 feet 8 inch power cord. What was the total length of the cords?

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1.10 Exercise 78

Solve.

Leilani wants to make 8 placemats. For each placemat she needs 18 inches of fabric. How many yards of fabric will she need for the 8 placemats?

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1.10 Exercise 80

Convert the units.

Ghalib ran 5 kilometers. Convert the length to meters.

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1.10 Exercise 82

Convert the units.

Estrella is 1.55 meters tall. Convert her height to centimeters.

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1.10 Exercise 84

Convert the units.

Mount Whitney is 3,072 meters tall. Convert the height to kilometers.

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1.10 Exercise 86

Convert the units.

June’s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.

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1.10 Exercise 88

Convert the units.

One stick of butter contains 91.6 grams of fat. Convert this to milligrams.

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1.10 Exercise 90

Convert the units.

The maximum mass of an airmail letter is 2 kilograms. Convert this to grams.

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1.10 Exercise 92

Convert the units.

A bottle of wine contained 750 milliliters. Convert this to liters.

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1.10 Exercise 94

Solve.

Matthias is 1.8 meters tall. His son is 89 centimeters tall. How much taller is Matthias than his son?

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1.10 Exercise 96

Solve.

A typical dove weighs 345 grams. A typical duck weighs 1.2 kilograms. What is the difference, in grams, of the weights of a duck and a dove?

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1.10 Exercise 98

Solve.

Harry mailed 5 packages that weighed 420 grams each. What was the total weight of the packages in kilograms?

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1.10 Exercise 100

Solve.

Jonas drinks 200 milliliters of water 8 times a day. How many liters of water does Jonas drink in a day?

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1.10 Exercise 102

Make the unit conversions. Round to the nearest tenth.

Bill is 75 inches tall. Convert his height to centimeters.

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1.10 Exercise 104

Make the unit conversions. Round to the nearest tenth.

Marcus passed a football 24 yards. Convert the pass length to meters

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1.10 Exercise 106

Make the unit conversions. Round to the nearest tenth.

Each American throws out an average of 1,650 pounds of garbage per year. Convert this weight to kilograms.

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1.10 Exercise 108

Make the unit conversions. Round to the nearest tenth.

A 5K run is 5 kilometers long. Convert this length to miles.

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1.10 Exercise 110

Make the unit conversions. Round to the nearest tenth.

Dawn’s suitcase weighed 20 kilograms. Convert the weight to pounds.

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1.10 Exercise 112

Make the unit conversions. Round to the nearest tenth.

Ozzie put 14 gallons of gas in his truck. Convert the volume to liters.

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1.10 Exercise 114

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

86°86 ° Fahrenheit

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1.10 Exercise 116

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

104°104 ° Fahrenheit

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1.10 Exercise 118

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

72°72 ° Fahrenheit

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1.10 Exercise 120

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

0°0 ° Fahrenheit

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1.10 Exercise 122

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

5°5 ° Celsius

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1.10 Exercise 124

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

−10°− 10 ° Celsius

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1.10 Exercise 126

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

22°22 ° Celsius

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1.10 Exercise 128

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

43°43 ° Celsius

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1.10 Exercise 130

Nutrition Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?

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1.10 Exercise 132

Some people think that 65°to75°65 ° \text{to} 75 ° Fahrenheit is the ideal temperature range.

  1. ⓐ What is your ideal temperature range? Why do you think so?
  2. ⓑ Convert your ideal temperatures from Fahrenheit to Celsius.
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1.10 Exercise 134

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

26,915

ⓐ 1 ⓑ 2 ⓒ 9 ⓓ 5 ⓔ 6

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1.10 Exercise 136

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

58,129,304

ⓐ 5 ⓑ 0 ⓒ 1 ⓓ 8 ⓔ 2

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1.10 Exercise 138

Name each number.

6,104

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1.10 Exercise 140

Name each number.

3,975,284

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1.10 Exercise 142

Write each number as a whole number using digits.

three hundred fifteen

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1.10 Exercise 144

Write each number as a whole number using digits.

ninety million, four hundred twenty-five thousand, sixteen

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1.10 Exercise 146

Round to the indicated place value.

Round to the nearest ten.

ⓐ 407 ⓑ 8,564

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1.10 Exercise 148

Round each number to the nearest ⓐ hundred ⓑ thousand ⓒ ten thousand.

864,951

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1.10 Exercise 150

Use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

168

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1.10 Exercise 152

Use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

375

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1.10 Exercise 154

Use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

1430

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1.10 Exercise 156

Find the prime factorization.

420

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1.10 Exercise 158

Find the prime factorization.

225

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1.10 Exercise 160

Find the prime factorization.

1560

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1.10 Exercise 162

Find the prime factorization.

72

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1.10 Exercise 164

Find the prime factorization.

252

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1.10 Exercise 166

Find the least common multiple of the following numbers using the multiples method.

6,15

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1.10 Exercise 168

Find the least common multiple of the following numbers using the prime factors method.

24, 30

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1.10 Exercise 170

Translate the following from algebra to English.

25−725 - 7

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1.10 Exercise 172

Translate the following from algebra to English.

45÷545 \div 5

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1.10 Exercise 174

Translate the following from algebra to English.

42≥2742 \geq 27

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1.10 Exercise 176

Translate the following from algebra to English.

3≤20÷43 \leq 20 \div 4

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1.10 Exercise 178

Determine if each is an expression or an equation.

6·3+56 \cdot 3 + 5

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1.10 Exercise 180

Simplify each expression.

353^{5}

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1.10 Exercise 182

Simplify

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

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1.10 Exercise 184

Simplify

20÷(4+6)·520 \div \left(4 + 6\right) \cdot 5

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1.10 Exercise 186

Simplify

(42+52)2\left(4^{2} + 5^{2}\right)^{2}

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1.10 Exercise 188

Evaluate the following expressions.

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

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1.10 Exercise 190

Evaluate the following expressions.

x4x^{4} when x=3x = 3

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1.10 Exercise 192

Evaluate the following expressions.

x2+5x−8x^{2} + 5 x - 8 when x=6x = 6

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1.10 Exercise 194

Identify the coefficient of each term.

12n12 n

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1.10 Exercise 196

Identify the like terms.

3n,n2,12,12p2,3,3n23 n , n^{2} , 12 , 12 p^{2} , 3 , 3 n^{2}

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1.10 Exercise 198

Identify the terms in each expression.

11x2+3x+611 x^{2} + 3 x + 6

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1.10 Exercise 200

Simplify the following expressions by combining like terms.

17a+9a17 a + 9 a

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1.10 Exercise 202

Simplify the following expressions by combining like terms.

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

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1.10 Exercise 204

Simplify the following expressions by combining like terms.

7p+6+5p−47 p + 6 + 5 p - 4

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1.10 Exercise 206

Translate the following phrases into algebraic expressions.

the sum of 8 and 12

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1.10 Exercise 208

Translate the following phrases into algebraic expressions.

the difference of xx and 4

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1.10 Exercise 210

Translate the following phrases into algebraic expressions.

the product of 6 and yy

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1.10 Exercise 212

Translate the following phrases into algebraic expressions.

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.

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1.10 Exercise 214

Order each of the following pairs of numbers, using < or >.


ⓐ 6___26 ___ 2
ⓑ −7___4−7 ___ 4
ⓒ −9___−1−9 ___ −1
ⓓ 9___−39 ___ −3

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1.10 Exercise 216

, find the opposite of each number.

ⓐ −8−8 ⓑ 1

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1.10 Exercise 218

Simplify.

−(−19)− \left(−19\right)

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1.10 Exercise 220

Simplify.

−m− m when
ⓐ m=3m = 3
ⓑ m=−3m = −3

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1.10 Exercise 222

, simplify.

ⓐ |7|\left|7\right| ⓑ |−25|\left|−25\right| ⓒ |0|\left|0\right|

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1.10 Exercise 224

Fill in <, >, or = for each of the following pairs of numbers.


ⓐ −8___|−8|−8 ___ \left|−8\right|
ⓑ −|−2|___−2− \left|−2\right| ___ −2

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1.10 Exercise 226

Simplify.

|8−4|\left|8 - 4\right|

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1.10 Exercise 228

Simplify.

8(14−2|−2|)8 \left(14 - 2 \left|−2\right|\right)

2.5

1.10 Exercise 230

Evaluate.

ⓐ |x|\left|x\right| when x=−28x = −28 ⓑ |x|\left|x\right| when x=−15x = −15

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1.10 Exercise 232

Simplify each expression.

−200+65−200 + 65

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1.10 Exercise 234

Simplify each expression.

2+(−8)+62 + \left(−8\right) + 6

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1.10 Exercise 236

Simplify each expression.

140+(−75)+67140 + \left(−75\right) + 67

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1.10 Exercise 238

Simplify.

9−39 - 3

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1.10 Exercise 240

Simplify.

ⓐ 15−615 - 6 ⓑ 15+(−6)15 + \left(−6\right)

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1.10 Exercise 242

Simplify.

ⓐ 8−(−9)8 - \left(−9\right) ⓑ 8+98 + 9

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1.10 Exercise 244

Simplify each expression.

10−(−19)10 - \left(−19\right)

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1.10 Exercise 246

Simplify each expression.

31−7931 - 79

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1.10 Exercise 248

Simplify each expression.

−31−11−31 - 11

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1.10 Exercise 250

Simplify each expression.

−15−(−28)+5−15 - \left(−28\right) + 5

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1.10 Exercise 252

Simplify each expression.

−16−(−4+1)−7−16 - \left(−4 + 1\right) - 7

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1.10 Exercise 254

Multiply.

−5(7)−5 \left(7\right)

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1.10 Exercise 256

Multiply.

−18(−2)−18 \left(−2\right)

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1.10 Exercise 258

Divide.

−28÷7−28 \div 7

2.5

1.10 Exercise 260

Divide.

−120÷(−20)−120 \div \left(−20\right)

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1.10 Exercise 262

Simplify each expression.

−8(−2)−3(−9)−8 \left(−2\right) - 3 \left(−9\right)

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1.10 Exercise 264

Simplify each expression.

(−5)3\left(−5\right)^{3}

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1.10 Exercise 266

Simplify each expression.

−4·2·11−4 \cdot 2 \cdot 11

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1.10 Exercise 268

Simplify each expression.

−10(−4)÷(−8)−10 \left(−4\right) \div \left(−8\right)

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1.10 Exercise 270

Simplify each expression.

31−4(3−9)31 - 4 \left(3 - 9\right)

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1.10 Exercise 272

Evaluate each expression.

x+8x + 8 when ⓐ x=−26x = −26ⓑ x=−95x = −95

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1.10 Exercise 274

Evaluate each expression.

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

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1.10 Exercise 276

Evaluate each expression.

p2−5p+2p^{2} - 5 p + 2 when
p=−1p = −1

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1.10 Exercise 278

Evaluate each expression.

6x−5y+156 x - 5 y + 15 when x=3x = 3 and y=−1y = −1

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1.10 Exercise 280

Translate to an algebraic expression and simplify if possible.

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

2.5

1.10 Exercise 282

Translate to an algebraic expression and simplify if possible.

the quotient of −45−45 and −9−9

2.5

1.10 Exercise 284

Solve.

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?

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1.10 Exercise 286

Find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

14\frac{1}{4}

2.5

1.10 Exercise 288

Find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

56\frac{5}{6}

2.5

1.10 Exercise 290

Simplify.

721\frac{7}{21}

2.5

1.10 Exercise 292

Simplify.

1520\frac{15}{20}

2.5

1.10 Exercise 294

Simplify.

−168192- \frac{168}{192}

2.5

1.10 Exercise 296

Simplify.

11x11y\frac{11 x}{11 y}

2.5

1.10 Exercise 298

Multiply.

25·13\frac{2}{5} \cdot \frac{1}{3}

2.5

1.10 Exercise 300

Multiply.

712(−821)\frac{7}{12} \left(- \frac{8}{21}\right)

2.5

1.10 Exercise 302

Multiply.

−28p(−14)−28 p \left(- \frac{1}{4}\right)

2.5

1.10 Exercise 304

Multiply.

145(−15)\frac{14}{5} \left(−15\right)

2.5

1.10 Exercise 306

Divide.

12÷14\frac{1}{2} \div \frac{1}{4}

2.5

1.10 Exercise 308

Divide.

−45÷47- \frac{4}{5} \div \frac{4}{7}

2.5

1.10 Exercise 310

Divide.

58÷a10\frac{5}{8} \div \frac{a}{10}

2.5

1.10 Exercise 312

Divide.

7p12÷21p8\frac{7 p}{12} \div \frac{21 p}{8}

2.5

1.10 Exercise 314

Divide.

25÷(−10)\frac{2}{5} \div \left(−10\right)

2.5

1.10 Exercise 316

Simplify.

2389\frac{\frac{2}{3}}{\frac{8}{9}}

2.5

1.10 Exercise 318

Simplify.

−9103\frac{- \frac{9}{10}}{3}

2.5

1.10 Exercise 320

Simplify.

r5s3\frac{\frac{r}{5}}{\frac{s}{3}}

2.5

1.10 Exercise 322

Simplify.

4+118\frac{4 + 11}{8}

2.5

1.10 Exercise 324

Simplify.

307−12\frac{30}{7 - 12}

2.5

1.10 Exercise 326

Simplify.

22−1419−13\frac{22 - 14}{19 - 13}

2.5

1.10 Exercise 328

Simplify.

5·8−10\frac{5 \cdot 8}{−10}

2.5

1.10 Exercise 330

Simplify.

15·5−522·10\frac{15 \cdot 5 - 5^{2}}{2 \cdot 10}

2.5

1.10 Exercise 332

Simplify.

2+4(3)−3−22\frac{2 + 4 \left(3\right)}{−3 - 2^{2}}

2.5

1.10 Exercise 334

Translate each English phrase into an algebraic expression.

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

2.5

1.10 Exercise 336

Add.

49+19\frac{4}{9} + \frac{1}{9}

2.5

1.10 Exercise 338

Add.

y3+23\frac{y}{3} + \frac{2}{3}

2.5

1.10 Exercise 340

Add.

−18+(−38)- \frac{1}{8} + \left(- \frac{3}{8}\right)

2.5

1.10 Exercise 342

Subtract.

45−15\frac{4}{5} - \frac{1}{5}

2.5

1.10 Exercise 344

Subtract.

y17−917\frac{y}{17} - \frac{9}{17}

2.5

1.10 Exercise 346

Subtract.

−8d−3d- \frac{8}{d} - \frac{3}{d}

2.5

1.10 Exercise 348

Add or subtract.

13+15\frac{1}{3} + \frac{1}{5}

2.5

1.10 Exercise 350

Add or subtract.

15−(−110)\frac{1}{5} - \left(- \frac{1}{10}\right)

2.5

1.10 Exercise 352

Add or subtract.

23+34\frac{2}{3} + \frac{3}{4}

2.5

1.10 Exercise 354

Add or subtract.

1112−38\frac{11}{12} - \frac{3}{8}

2.5

1.10 Exercise 356

Add or subtract.

−916−(−45)- \frac{9}{16} - \left(- \frac{4}{5}\right)

2.5

1.10 Exercise 358

Add or subtract.

1+561 + \frac{5}{6}

2.5

1.10 Exercise 360

Simplify.

(15)22+32\frac{\left(\frac{1}{5}\right)^{2}}{2 + 3^{2}}

2.5

1.10 Exercise 362

Simplify.

23+1234−23\frac{\frac{2}{3} + \frac{1}{2}}{\frac{3}{4} - \frac{2}{3}}

2.5

1.10 Exercise 364

Evaluate.

x+12x + \frac{1}{2} when
ⓐ x=−18x = - \frac{1}{8}
ⓑ x=−12x = - \frac{1}{2}

2.5

1.10 Exercise 366

Evaluate.

4p2q4 p^{2} q when p=−12p = - \frac{1}{2} and q=59q = \frac{5}{9}

2.5

1.10 Exercise 368

Evaluate.

u+vw\frac{u + v}{w} when
u=−4,v=−8,w=2u = −4 , v = −8 , w = 2

2.5

1.10 Exercise 370

Write as a decimal.

Eight and three hundredths

2.5

1.10 Exercise 372

Write as a decimal.

One thousandth

2.5

1.10 Exercise 374

Name each decimal.

7.8

2.5

1.10 Exercise 376

Name each decimal.

0.005

2.5

1.10 Exercise 378

Round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

5.7932

2.5

1.10 Exercise 380

Round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

12.4768

2.5

1.10 Exercise 382

Add or subtract.

18.37+9.3618.37 + 9.36

2.5

1.10 Exercise 384

Add or subtract.

15.35−20.8815.35 - 20.88

2.5

1.10 Exercise 386

Add or subtract.

−4.2+(−9.3)−4.2 + \left(−9.3\right)

2.5

1.10 Exercise 388

Add or subtract.

100−64.2100 - 64.2

2.5

1.10 Exercise 390

Add or subtract.

2.51+402.51 + 40

2.5

1.10 Exercise 392

Multiply.

(0.3)(0.4)\left(0.3\right) \left(0.4\right)

2.5

1.10 Exercise 394

Multiply.

(8.52)(3.14)\left(8.52\right) \left(3.14\right)

2.5

1.10 Exercise 396

Multiply.

(0.09)(24.78)\left(0.09\right) \left(24.78\right)

2.5

1.10 Exercise 398

Divide.

0.15÷50.15 \div 5

2.5

1.10 Exercise 400

Divide.

$8.49÷12$8.49 \div 12

2.5

1.10 Exercise 402

Divide.

12÷0.0812 \div 0.08

2.5

1.10 Exercise 404

Write each decimal as a fraction.

0.08

2.5

1.10 Exercise 406

Write each decimal as a fraction.

0.425

2.5

1.10 Exercise 408

Write each decimal as a fraction.

1.75

2.5

1.10 Exercise 410

Convert each fraction to a decimal.

25\frac{2}{5}

2.5

1.10 Exercise 412

Convert each fraction to a decimal.

−38- \frac{3}{8}

2.5

1.10 Exercise 414

Convert each fraction to a decimal.

59\frac{5}{9}

2.5

1.10 Exercise 416

Convert each fraction to a decimal.

12+6.5\frac{1}{2} + 6.5

2.5

1.10 Exercise 418

Convert each percent to a decimal.

5%

2.5

1.10 Exercise 420

Convert each percent to a decimal.

40%

2.5

1.10 Exercise 422

Convert each percent to a decimal.

115%

2.5

1.10 Exercise 424

Convert each decimal to a percent.

0.18

2.5

1.10 Exercise 426

Convert each decimal to a percent.

0.009

2.5

1.10 Exercise 428

Convert each decimal to a percent.

1.5

2.5

1.10 Exercise 430

Simplify.

64\sqrt{64}

2.5

1.10 Exercise 432

Simplify.

−25− \sqrt{25}

2.5

1.10 Exercise 434

Write as the ratio of two integers.

ⓐ 9 ⓑ 8.47

2.5

1.10 Exercise 436

List the ⓐ rational numbers, ⓑ irrational numbers.

0.84,0.79132…,1.3–0.84 , 0.79132 \ldots , 1. \overset{–}{3}

2.5

1.10 Exercise 438

Identify whether each number is rational or irrational.

ⓐ 121\sqrt{121} ⓑ 48\sqrt{48}

2.5

1.10 Exercise 440

Identify whether each number is a real number or not a real number.

ⓐ −9\sqrt{−9} ⓑ −169− \sqrt{169}

2.5

1.10 Exercise 442

List the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers.

−4,0,56,16,18,5.2537…−4 , 0 , \frac{5}{6} , \sqrt{16} , \sqrt{18} , 5.2537 \ldots

2.5

1.10 Exercise 448

Order each of the following pairs of numbers, using < or >.

−1___−18−1 ___ - \frac{1}{8}

2.5

1.10 Exercise 450

Order each of the following pairs of numbers, using < or >.

−79___−49- \frac{7}{9} ___ - \frac{4}{9}

2.5

1.10 Exercise 456

Order each of the following pairs of numbers, using < or >.

0.9___0.60.9 ___ 0.6

2.5

1.10 Exercise 458

Order each of the following pairs of numbers, using < or >.

−0.6___−0.59−0.6 ___ −0.59

2.5

1.10 Exercise 460

Use the Associative Property to simplify.

−12(4m)−12 \left(4 m\right)

2.5

1.10 Exercise 462

Use the Associative Property to simplify.

(a+16)+31\left(a + 16\right) + 31

2.5

1.10 Exercise 464

Simplify.

6y+37+(−6y)6 y + 37 + \left(−6 y\right)

2.5

1.10 Exercise 466

Simplify.

1411+359+(−1411)\frac{14}{11} + \frac{35}{9} + \left(- \frac{14}{11}\right)

2.5

1.10 Exercise 468

Simplify.

(712+45)+15\left(\frac{7}{12} + \frac{4}{5}\right) + \frac{1}{5}

2.5

1.10 Exercise 470

Simplify.

11x+8y+16x+15y11 x + 8 y + 16 x + 15 y

2.5

1.10 Exercise 472

Find the additive inverse of each number.


ⓐ 13\frac{1}{3}
ⓑ 5.15.1
ⓒ −14−14
ⓓ −85- \frac{8}{5}

2.5

1.10 Exercise 474

Find the multiplicative inverse of each number.

ⓐ 10 ⓑ −49- \frac{4}{9} ⓒ 0.6

2.5

1.10 Exercise 476

Simplify.

83·083 \cdot 0

2.5

1.10 Exercise 478

Simplify.

50\frac{5}{0}

2.5

1.10 Exercise 480

Simplify.

43+39+(−43)43 + 39 + \left(−43\right)

2.5

1.10 Exercise 482

Simplify.

513·57·135\frac{5}{13} \cdot 57 \cdot \frac{13}{5}

2.5

1.10 Exercise 484

Simplify.

23·28·37\frac{2}{3} \cdot 28 \cdot \frac{3}{7}

2.5

1.10 Exercise 486

Simplify using the Distributive Property.

7(x+9)7 \left(x + 9\right)

2.5

1.10 Exercise 488

Simplify using the Distributive Property.

−3(6m−1)−3 \left(6 m - 1\right)

2.5

1.10 Exercise 490

Simplify using the Distributive Property.

13(15n−6)\frac{1}{3} \left(15 n - 6\right)

2.5

1.10 Exercise 492

Simplify using the Distributive Property.

(a−4)−(6a+9)\left(a - 4\right) - \left(6 a + 9\right)

2.5

1.10 Exercise 494

Convert the units. Round to the nearest tenth.

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

2.5

1.10 Exercise 496

Convert the units. Round to the nearest tenth.

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

2.5

1.10 Exercise 498

Convert the units. Round to the nearest tenth.

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

2.5

1.10 Exercise 500

Convert the units. Round to the nearest tenth.

The play lasted hours. Convert the time to minutes.

2.5

1.10 Exercise 502

Convert the units. Round to the nearest tenth.

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

2.5

1.10 Exercise 504

Solve.

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?

2.5

1.10 Exercise 506

Solve.

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?

2.5

1.10 Exercise 508

Convert the units.

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

2.5

1.10 Exercise 510

Convert the units.

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

2.5

1.10 Exercise 512

Convert the units.

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

2.5

1.10 Exercise 514

In the following exerices, solve.

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

2.5

1.10 Exercise 516

In the following exerices, solve.

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

2.5

1.10 Exercise 518

Make the unit conversions. Round to the nearest tenth.

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

2.5

1.10 Exercise 520

Make the unit conversions. Round to the nearest tenth.

Caroline walked 2.5 kilometers. Convert this length to miles.

2.5

1.10 Exercise 522

Make the unit conversions. Round to the nearest tenth.

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

2.5

1.10 Exercise 524

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

95° Fahrenheit

2.5

1.10 Exercise 526

Convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

20° Fahrenheit

2.5

1.10 Exercise 528

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

30° Celsius

2.5

1.10 Exercise 530

Convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

–12° Celsius

2.5

1.10 Exercise 532

Write as a whole number using digits: two hundred five thousand, six hundred seventeen.

2.5

1.10 Exercise 534

Find the Least Common Multiple of 18 and 24.

2.5

1.10 Exercise 536

Evaluate.

−|x|− \left|x\right| when x=−2x = −2

2.5

1.10 Exercise 538

Evaluate.

Translate to an algebraic expression and simplify: twenty less than negative 7.

2.5

1.10 Exercise 540

Evaluate.

Round 677.1348 to the nearest hundredth.

2.5

1.10 Exercise 542

Evaluate.

Convert 1.85 to a percent.

2.5

1.10 Exercise 544

Simplify each expression.

4+10(3+9)−524 + 10 \left(3 + 9\right) - 5^{2}

2.5

1.10 Exercise 546

Simplify each expression.

−19−25−19 - 25

2.5

1.10 Exercise 548

Simplify each expression.

−5(−9)÷15−5 \left(−9\right) \div 15

2.5

1.10 Exercise 550

Simplify each expression.

45÷920\frac{4}{5} \div \frac{9}{20}

2.5

1.10 Exercise 552

Simplify each expression.

m7+107\frac{m}{7} + \frac{10}{7}

2.5

1.10 Exercise 554

Simplify each expression.

−5.8+(−4.7)−5.8 + \left(−4.7\right)

2.5

1.10 Exercise 556

Simplify each expression.

(0.07)(31.95)\left(0.07\right) \left(31.95\right)

2.5

1.10 Exercise 558

Simplify each expression.

−14(57p)−14 \left(\frac{5}{7} p\right)

2.5

1.10 Exercise 560

Simplify each expression.

6x+(−4y)+9x+8y6 x + \left(−4 y\right) + 9 x + 8 y

2.5

1.10 Exercise 562

Simplify each expression.

750\frac{75}{0}

2.5

1.10 Exercise 564

Simplify each expression.

A movie lasted 1231 \frac{2}{3} hours. How many minutes did it last? (1 hour = 60 minutes)

2.5

1.10 Exercise 566

Simplify each expression.

Jennifer ran 2.8 miles. Convert this length to kilometers. (1 mile = 1.61 kilometers)

2.5

Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.