# Chapter 1 Review Exercises

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## Chapter Review Exercises

#### Introduction to Whole Numbers

Use Place Value with Whole Number

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

##### Exercise $$\PageIndex{1}$$

26,915

1. 1
2. 2
3. 9
4. 5
5. 6
1. tens
2. ten thousands
3. hundreds
4. ones
5. thousands

359,417

1. 9
2. 3
3. 4
4. 7
5. 1
##### Exercise $$\PageIndex{3}$$

58,129,304

1. 5
2. 0
3. 1
4. 8
5. 2
1. ten millions
2. tens
3. hundred thousands
4. millions
5. ten thousands
##### Exercise $$\PageIndex{4}$$

9,430,286,157

1. 6
2. 4
3. 9
4. 0
5. 5

In the following exercises, name each number.

##### Exercise $$\PageIndex{5}$$

6,104

six thousand, one hundred four

493,068

##### Exercise $$\PageIndex{7}$$

3,975,284

three million, nine hundred seventy-five thousand, two hundred eighty-four

##### Exercise $$\PageIndex{8}$$

85,620,435

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

##### Exercise $$\PageIndex{9}$$

three hundred fifteen

315

##### Exercise $$\PageIndex{10}$$

sixty-five thousand, nine hundred twelve

##### Exercise $$\PageIndex{11}$$

ninety million, four hundred twenty-five thousand, sixteen

90,425,016

##### Exercise $$\PageIndex{12}$$

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

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

##### Exercise $$\PageIndex{13}$$

Round to the nearest ten.

1. 407
2. 8,564
1. 410
2. 8,560
##### Exercise $$\PageIndex{14}$$

Round to the nearest hundred.

1. 25,846
2. 25,864

In the following exercises, round each number to the nearest 1. hundred 2. thousand 3. ten thousand.

##### Exercise $$\PageIndex{15}$$

864,951

1. 865,000865,000
2. 865,000865,000
3. 860,000
##### Exercise $$\PageIndex{16}$$

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.

168

by 2,3,6

264

375

by 3,5

750

1430

by 2,5,10

##### Exercise $$\PageIndex{22}$$

1080

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

##### Exercise $$\PageIndex{23}$$

420

2$$\cdot 2 \cdot 3 \cdot 5 \cdot 7$$

115

##### Exercise $$\PageIndex{25}$$

225

3$$\cdot 3 \cdot 5 \cdot 5$$

2475

##### Exercise $$\PageIndex{27}$$

1560

$$2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 13$$

56

##### Exercise $$\PageIndex{29}$$

72

$$2 \cdot 2 \cdot 2 \cdot 3 \cdot 3$$

168

##### Exercise $$\PageIndex{31}$$

252

$$2 \cdot 2 \cdot 3 \cdot 3 \cdot 7$$

##### Exercise $$\PageIndex{32}$$

391

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

6,15

30

##### Exercise $$\PageIndex{34}$$

60, 75

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

24, 30

120

70, 84

#### Use the Language of Algebra

Use Variables and Algebraic Symbols

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

##### Exercise $$\PageIndex{37}$$

25−7

25 minus 7, the difference of twenty-five and seven

##### Exercise $$\PageIndex{38}$$

5$$\cdot 6$$

##### Exercise $$\PageIndex{39}$$

$$45 \div 5$$

45 divided by 5, the quotient of forty-five and five

x+8

##### Exercise $$\PageIndex{41}$$

$$42 \geq 27$$

forty-two is greater than or equal to twenty-seven

3n=24

##### Exercise $$\PageIndex{43}$$

$$3 \leq 20 \div 4$$

3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty and four

##### Exercise $$\PageIndex{44}$$

$$a \neq 7 \cdot 4$$

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

##### Exercise $$\PageIndex{45}$$

$$6 \cdot 3+5$$

expression

##### Exercise $$\PageIndex{46}$$

y−8=32

Simplify Expressions Using the Order of Operations

In the following exercises, simplify each expression.

##### Exercise $$\PageIndex{47}$$

$$3^{5}$$

243

##### Exercise $$\PageIndex{48}$$

$$10^{8}$$

In the following exercises, simplify

6+10/2+2

13

9+12/3+4

##### Exercise $$\PageIndex{51}$$

$$20 \div(4+6) \cdot 5$$

10

##### Exercise $$\PageIndex{52}$$

$$33 \div(3+8) \cdot 2$$

##### Exercise $$\PageIndex{53}$$

$$4^{2}+5^{2}$$

41

##### Exercise $$\PageIndex{54}$$

$$(4+5)^{2}$$

Evaluate an Expression

In the following exercises, evaluate the following expressions.

9x+7 when x=3

34

5x−4 when x=6

##### Exercise $$\PageIndex{57}$$

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

81

##### Exercise $$\PageIndex{58}$$

$$3^{x}$$ when $$x=3$$

##### Exercise $$\PageIndex{59}$$

$$x^{2}+5 x-8$$ when $$x=6$$

58

##### Exercise $$\PageIndex{60}$$

$$2 x+4 y-5$$ when
$$x=7, y=8$$

Simplify Expressions by Combining Like Terms

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

12n

12

##### Exercise $$\PageIndex{62}$$

9$$x^{2}$$

In the following exercises, identify the like terms.

##### Exercise $$\PageIndex{63}$$

$$3 n, n^{2}, 12,12 p^{2}, 3,3 n^{2}$$

12 and $$3, n^{2}$$ and 3$$n^{2}$$

##### Exercise $$\PageIndex{64}$$

$$5,18 r^{2}, 9 s, 9 r, 5 r^{2}, 5 s$$

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

##### Exercise $$\PageIndex{65}$$

$$11 x^{2}+3 x+6$$

$$11 x^{2}, 3 x, 6$$

##### Exercise $$\PageIndex{66}$$

$$22 y^{3}+y+15$$

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

17a+9a

26a

18z+9z

9x+3x+8

12x+8

8a+5a+9

7p+6+5p−4

12p+2

##### Exercise $$\PageIndex{72}$$

8x+7+4x−5

Translate an English Phrase to an Algebraic Expression

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

##### Exercise $$\PageIndex{73}$$

the sum of 8 and 12

8+12

##### Exercise $$\PageIndex{74}$$

the sum of 9 and 1

##### Exercise $$\PageIndex{75}$$

the difference of x and 4

x−4

##### Exercise $$\PageIndex{76}$$

the difference of x and 3

##### Exercise $$\PageIndex{77}$$

the product of 6 and y

6y

##### Exercise $$\PageIndex{78}$$

the product of 9 and y

##### Exercise $$\PageIndex{269}$$

$$\ 16.99 \div 9$$

##### Exercise $$\PageIndex{270}$$

$$12 \div 0.08$$

150

##### Exercise $$\PageIndex{271}$$

$$5 \div 0.04$$

Convert Decimals, Fractions, and Percents

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

##### Exercise $$\PageIndex{272}$$

0.08

$$\frac{2}{25}$$

0.17

##### Exercise $$\PageIndex{274}$$

0.425

$$\frac{17}{40}$$

0.184

##### Exercise $$\PageIndex{276}$$

1.75

$$\frac{7}{4}$$

##### Exercise $$\PageIndex{277}$$

0.035

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

##### Exercise $$\PageIndex{278}$$

$$\frac{2}{5}$$

0.4

##### Exercise $$\PageIndex{279}$$

$$\frac{4}{5}$$

##### Exercise $$\PageIndex{280}$$

$$-\frac{3}{8}$$

−0.375

##### Exercise $$\PageIndex{281}$$

$$-\frac{5}{8}$$

##### Exercise $$\PageIndex{282}$$

$$\frac{5}{9}$$

$$0 . \overline{5}$$

##### Exercise $$\PageIndex{283}$$

$$\frac{2}{9}$$

##### Exercise $$\PageIndex{284}$$

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

7

##### Exercise $$\PageIndex{285}$$

$$\frac{1}{4}+10.75$$

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

5%

0.05

9%

40%

0.4

50%

115%

1.15

##### Exercise $$\PageIndex{291}$$

125%

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

0.18

18%

0.15

0.009

0.9%

0.008

1.5

150%

2.2

#### The Real Numbers

Simplify Expressions with Square Roots

In the following exercises, simplify.

##### Exercise $$\PageIndex{298}$$

$$\sqrt{64}$$

8

##### Exercise $$\PageIndex{299}$$

$$\sqrt{144}$$

##### Exercise $$\PageIndex{300}$$

$$-\sqrt{25}$$

-5

##### Exercise $$\PageIndex{301}$$

$$-\sqrt{81}$$

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

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

##### Exercise $$\PageIndex{302}$$
1. 9
2. 8.47
1. $$\frac{9}{1}$$
2. $$\frac{847}{100}$$
##### Exercise $$\PageIndex{303}$$
1. −15
2. 3.591

In the following exercises, list the

1. rational numbers,
2. irrational numbers.
##### Exercise $$\PageIndex{304}$$

$$0.84,0.79132 \ldots, 1 . \overline{3}$$

1. $$0.84,1.3$$
2. $$0.79132 \ldots$$
##### Exercise $$\PageIndex{305}$$

$$2.3 \overline{8}, 0.572,4.93814 \ldots$$

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

##### Exercise $$\PageIndex{306}$$
1. $$\sqrt{121}$$
2. $$\sqrt{48}$$
1. rational
2. irrational
##### Exercise $$\PageIndex{307}$$
1. $$\sqrt{56}$$
2. $$\sqrt{16}$$

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

##### Exercise $$\PageIndex{308}$$
1. $$\sqrt{-9}$$
2. $$-\sqrt{169}$$
1. not a real number
2. real number
##### Exercise $$\PageIndex{309}$$
1. $$\sqrt{-64}$$
2. $$-\sqrt{81}$$

In the following exercises, list the

1. whole numbers,
2. integers,
3. rational numbers,
4. irrational numbers,
5. real numbers for each set of numbers.
##### Exercise $$\PageIndex{310}$$

$$-4,0, \frac{5}{6}, \sqrt{16}, \sqrt{18}, 5.2537 \ldots$$

1. $$0, \sqrt{16}$$
2. $$-4,0, \sqrt{16}$$
3. $$-4,0, \frac{5}{6}, \sqrt{16}$$
4. $$\sqrt{18}, 5.2537 \ldots$$
5. $$-4,0, \frac{5}{6}, \sqrt{16}, \sqrt{18}, 5.2537 \ldots$$
##### Exercise $$\PageIndex{311}$$

$$-\sqrt{4}, 0 . \overline{36}, \frac{13}{3}, 6.9152 \ldots, \sqrt{48}, 10 \frac{1}{2}$$

Locate Fractions on the Number Line

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

##### Exercise $$\PageIndex{312}$$

$$\frac{2}{3}, \frac{5}{4}, \frac{12}{5}$$ ##### Exercise $$\PageIndex{313}$$

$$\frac{1}{3}, \frac{7}{4}, \frac{13}{5}$$

##### Exercise $$\PageIndex{314}$$

$$2 \frac{1}{3},-2 \frac{1}{3}$$ ##### Exercise $$\PageIndex{315}$$

$$1 \frac{3}{5},-1 \frac{3}{5}$$

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

##### Exercise $$\PageIndex{316}$$

−1___$$-\frac{1}{8}$$

<

##### Exercise $$\PageIndex{317}$$

$$-3 \frac{1}{4}$$___−4

##### Exercise $$\PageIndex{318}$$

$$-\frac{7}{9}$$ ___ $$\frac{4}{9}$$

>

##### Exercise $$\PageIndex{319}$$

$$-2$$ ___ $$\frac{19}{8}$$

Locate Decimals on the Number Line

In the following exercises, locate on the number line.

##### Exercise $$\PageIndex{320}$$

0.3 −0.2

##### Exercise $$\PageIndex{322}$$

−2.5 ##### Exercise $$\PageIndex{323}$$

2.7

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

0.9___0.6

>

0.7___0.8

−0.6___−0.59

>

−0.27___−0.3

#### Properties of Real Numbers

Use the Commutative and Associative Properties

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

−12(4m)

−48m

##### Exercise $$\PageIndex{329}$$

30$$\left(\frac{5}{6} q\right)$$

(a+16)+31

a+47

##### Exercise $$\PageIndex{331}$$

(c+0.2)+0.7

In the following exercises, simplify.

6y+37+(−6y)

37

##### Exercise $$\PageIndex{333}$$

$$\frac{1}{4}+\frac{11}{15}+\left(-\frac{1}{4}\right)$$

##### Exercise $$\PageIndex{334}$$

$$\frac{14}{11} \cdot \frac{35}{9} \cdot \frac{14}{11}$$

$$\frac{35}{9}$$

##### Exercise $$\PageIndex{335}$$

$$-18 \cdot 15 \cdot \frac{2}{9}$$

##### Exercise $$\PageIndex{336}$$

$$\left(\frac{7}{12}+\frac{4}{5}\right)+\frac{1}{5}$$

1$$\frac{7}{12}$$

##### Exercise $$\PageIndex{337}$$

(3.98d+0.75d)+1.25d

11x+8y+16x+15y

27x+23y

##### Exercise $$\PageIndex{339}$$

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.

##### Exercise $$\PageIndex{340}$$
1. $$\frac{1}{3}$$
2. 5.1
3. $$-14$$
4. $$-\frac{8}{5}$$
1. $$-\frac{1}{3}$$
2. $$-5.1$$
3. -14
4. $$-\frac{8}{5}$$
##### Exercise $$\PageIndex{341}$$
1. $$-\frac{7}{8}$$
2. $$-0.03$$
3. 17
4. $$\frac{12}{5}$$

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

##### Exercise $$\PageIndex{342}$$
1. $$10$$
2. $$-\frac{4}{9}$$
3. 0.6
1. $$\frac{1}{10}$$
2. $$-\frac{9}{4}$$
3. $$\frac{5}{3}$$
##### Exercise $$\PageIndex{343}$$
1. $$-\frac{9}{2}$$
2. -7
3. 2.1

Use the Properties of Zero

In the following exercises, simplify.

##### Exercise $$\PageIndex{344}$$

83$$\cdot 0$$

0

##### Exercise $$\PageIndex{345}$$

$$\frac{0}{9}$$

##### Exercise $$\PageIndex{346}$$

$$\frac{5}{0}$$

undefined

##### Exercise $$\PageIndex{347}$$

$$0 \div \frac{2}{3}$$

In the following exercises, simplify.

43+39+(−43)

39

(n+6.75)+0.25

##### Exercise $$\PageIndex{350}$$

$$\frac{5}{13} \cdot 57 \cdot \frac{13}{5}$$

57

##### Exercise $$\PageIndex{351}$$

$$\frac{1}{6} \cdot 17 \cdot 12$$

##### Exercise $$\PageIndex{352}$$

$$\frac{2}{3} \cdot 28 \cdot \frac{3}{7}$$

8

##### Exercise $$\PageIndex{353}$$

$$9(6 x-11)+15$$

Simplify Expressions Using the Distributive Property

In the following exercises, simplify using the Distributive Property.

7(x+9)

7x+63

9(u−4)

−3(6m−1)

−18m+3

−8(−7a−12)

##### Exercise $$\PageIndex{358}$$

$$\frac{1}{3}(15 n-6)$$

5n−2

##### Exercise $$\PageIndex{359}$$

$$(y+10) \cdot p$$

(a−4)−(6a+9)

−5a−13

4(x+3)−8(x−7)

#### 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.

##### Exercise $$\PageIndex{362}$$

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

84 inches

##### Exercise $$\PageIndex{363}$$

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

##### Exercise $$\PageIndex{364}$$

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

64 inches

##### Exercise $$\PageIndex{365}$$

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

##### Exercise $$\PageIndex{366}$$

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

2.7 miles

##### Exercise $$\PageIndex{367}$$

Shamu weights 4.5 tons. Convert the weight to pounds.

##### Exercise $$\PageIndex{368}$$

The play lasted $$1\frac{3}{4}$$ hours. Convert the time to minutes.

105 minutes

##### Exercise $$\PageIndex{369}$$

How many tablespoons are in a quart?

##### Exercise $$\PageIndex{370}$$

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

94 ounces

##### Exercise $$\PageIndex{371}$$

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.

##### Exercise $$\PageIndex{372}$$

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?

10 lbs. 6 oz.

##### Exercise $$\PageIndex{373}$$

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?

##### Exercise $$\PageIndex{374}$$

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?

15 feet

##### Exercise $$\PageIndex{375}$$

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.

##### Exercise $$\PageIndex{376}$$

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

170 centimeters

##### Exercise $$\PageIndex{377}$$

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

##### Exercise $$\PageIndex{378}$$

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

0.488 grams

##### Exercise $$\PageIndex{379}$$

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

##### Exercise $$\PageIndex{380}$$

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

2,900 grams

##### Exercise $$\PageIndex{381}$$

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.

##### Exercise $$\PageIndex{382}$$

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

1.12 meter

##### Exercise $$\PageIndex{383}$$

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

##### Exercise $$\PageIndex{384}$$

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

0.9 kilograms

##### Exercise $$\PageIndex{385}$$

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.

##### Exercise $$\PageIndex{386}$$

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

175.3 centimeters

##### Exercise $$\PageIndex{387}$$

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

##### Exercise $$\PageIndex{388}$$

Caroline walked 2.5 kilometers. Convert this length to miles.

1.6 miles

##### Exercise $$\PageIndex{389}$$

Lucas weighs 78 kilograms. Convert his weight to pounds.

##### Exercise $$\PageIndex{390}$$

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

14.6 gallons

##### Exercise $$\PageIndex{391}$$

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.

95° Fahrenheit

35° C

23° Fahrenheit

20° Fahrenheit

–6.7° C

##### Exercise $$\PageIndex{395}$$

64° Fahrenheit

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

30° Celsius

86° F

–5° Celsius

–12° Celsius

10.4° F

24° Celsius

## Chapter Practice Test

##### Exercise $$\PageIndex{1}$$

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

205,617

##### Exercise $$\PageIndex{2}$$

Find the prime factorization of 504.

##### Exercise $$\PageIndex{3}$$

Find the Least Common Multiple of 18 and 24.

72

##### Exercise $$\PageIndex{4}$$

Combine like terms: 5n+8+2n−1.

In the following exercises, evaluate.

##### Exercise $$\PageIndex{5}$$

$$-|x|$$ when $$x=-2$$

−2

11−a when a=−3

##### Exercise $$\PageIndex{7}$$

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

−7−20;−27

##### Exercise $$\PageIndex{8}$$

Monique has a balance of −$18 in her checking account. She deposits$152 to the account. What is the new balance?

##### Exercise $$\PageIndex{9}$$

Round 677.1348 to the nearest hundredth.

677.13

##### Exercise $$\PageIndex{10}$$

Convert $$\frac{4}{5}$$ to a decimal.

##### Exercise $$\PageIndex{11}$$

Convert 1.85 to a percent.

185%

##### Exercise $$\PageIndex{12}$$

Locate $$\frac{2}{3},-1.5,$$ and $$\frac{9}{4}$$ on a number line.

In the following exercises, simplify each expression.

##### Exercise $$\PageIndex{13}$$

$$4+10(3+9)-5^{2}$$

99

−85+42

−19−25

−44

##### Exercise $$\PageIndex{16}$$

$$(-2)^{4}$$

##### Exercise $$\PageIndex{17}$$

$$-5(-9) \div 15$$

3

##### Exercise $$\PageIndex{18}$$

$$\frac{3}{8} \cdot \frac{11}{12}$$

##### Exercise $$\PageIndex{19}$$

$$\frac{4}{5} \div \frac{9}{20}$$

$$\frac{16}{9}$$

##### Exercise $$\PageIndex{20}$$

$$\frac{12+3 \cdot 5}{15-6}$$

##### Exercise $$\PageIndex{21}$$

$$\frac{m}{7}+\frac{10}{7}$$

$$\frac{m+10}{7}$$

##### Exercise $$\PageIndex{22}$$

$$\frac{7}{12}-\frac{3}{8}$$

##### Exercise $$\PageIndex{23}$$

$$-5.8+(-4.7)$$

−10.5

100−64.25

(0.07)(31.95)

2.2365

##### Exercise $$\PageIndex{26}$$

$$9 \div 0.05$$

##### Exercise $$\PageIndex{27}$$

$$-14\left(\frac{5}{7} p\right)$$

−10p

(u+8)−9

6x+(−4y)+9x+8y

15x+4y

##### Exercise $$\PageIndex{30}$$

$$\frac{0}{23}$$

##### Exercise $$\PageIndex{31}$$

$$\frac{75}{0}$$

undefined

−2(13q−5)

##### Exercise $$\PageIndex{33}$$

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

100 minutes

##### Exercise $$\PageIndex{34}$$

Mike’s SUV is 5 feet 11 inches tall. He wants to put a rooftop cargo bag on the the SUV. The cargo bag is 1 foot 6 inches tall. What will the total height be of the SUV with the cargo bag on the roof? (1 foot = 12 inches)

##### Exercise $$\PageIndex{35}$$

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