georgia 7th grade - wordpress.com · 6.2 two-step algebra problems with fractions 63 6.3 more...

MASTERING THE GEORGIA7th GRADE CRCT

IN

MATHEMATICS2008 Revision

Developed to the new Georgia Performance Standards!

ERICA DAY

ALAN FUQUA

COLLEEN PINTOZZI

AMERICAN BOOK COMPANY

P. O. BOX 2638

WOODSTOCK, GEORGIA 30188-1383

TOLL FREE 1 (888) 264-5877 PHONE (770) 928-2834

TOLL FREE FAX 1 (866) 827-3240

WEB SITE: www.americanbookcompany.com

Contents

Acknowledgements ii

Preface viii

Diagnostic Test 1

1 Number Systems and Integers 131.1 Real Numbers 131.2 Integers 141.3 Absolute Value 141.4 Adding Integers 151.5 Rules for Adding Integers with the Same Signs 161.6 Rules for Adding Integers with Opposite Signs 171.7 Subtracting Integers 181.8 Multiplying Integers 191.9 Dividing Integers 191.10 Rules for Multiplying and Dividing Integers 191.11 Mixed Integer Practice 20

Chapter 1 Review 20Chapter 1 Test 21

2 Fractions 232.1 Least Common Multiple 232.2 Finding Numerators 242.3 Simplifying Improper Fractions 252.4 Changing Mixed Numbers to Improper Fractions 262.5 Comparing the Relative Magnitude of Fractions 272.6 Ordering Fractions 282.7 Fraction Word Problems 29


3 Decimals 323.1 Ordering Decimals 323.2 Changing Fractions to Decimals 333.3 Changing Mixed Numbers to Decimals 343.4 Changing Decimals to Fractions 34

iii

Contents

3.5 Changing Decimals with Whole Numbers to Mixed Numbers 353.6 Ordering Positive and Negative Fractions and Decimals 353.7 Fraction and Decimal Review 373.8 Changing Percents to Decimals and Decimals to Percents 383.9 Changing Percents to Fractions and Fractions to Percents 393.10 Comparing the Relative Magnitude of Numbers 403.11 Decimal Word Problems 41


4 Introduction to Algebra 474.1 Algebra Vocabulary 474.2 Understanding Algebra Word Problems 484.3 Setting Up Algebra Word Problems 504.4 Changing Algebra Word Problems to Algebraic Equations 514.5 Properties of Addition and Multiplication 52


5 Solving One-Step Equations 565.1 One-Step Algebra Problems with Addition and Subtraction 565.2 One-Step Algebra Problems with Multiplication and Division 575.3 Multiplying and Dividing with Negative Numbers 585.4 Variables with A Coef cient of Negative One 60


6 Solving Multi-Step Equations 626.1 Two-Step Algebra Problems 626.2 Two-Step Algebra Problems with Fractions 636.3 More Two-Step Algebra Problems with Fractions 646.4 Combining Like Terms 656.5 Solving Equations with Like Terms 656.6 Removing Parentheses 676.7 Multi-Step Algebra Problems 68


7 Ratios and Proportions 72

iv

Contents

7.1 Ratio Problems 727.2 Solving Proportions 737.3 Proportion Word Problems 747.4 Direct and Indirect Variation 75


8 Relations and Functions 808.1 Cartesian Coordinates 808.2 Identifying Ordered Pairs 818.3 Relations 838.4 Determining Domain and Range From Graphs 858.5 Functions 878.6 Function Notation 888.7 Recognizing Functions 898.8 Function Tables 928.9 Graphing Simple Linear Equations 93


9 Statistics 999.1 Range 999.2 Mean 1009.3 Finding Data Missing From the Mean 1019.4 Median 1029.5 Mode 1039.6 Applying Measures of Central Tendency 1049.7 Quartiles and Extremes 1059.8 Box-and-Whisker Plots 1069.9 Scatter Plots 1079.10 Misleading Statistics 109


10 Data Interpretation 11410.1 Tally Charts and Frequency Tables 11410.2 Histograms 11610.3 Reading Tables 117

v

Contents

10.4 Bar Graphs 11910.5 Line Graphs 12110.6 Circle Graphs 12310.7 Pictographs 12510.8 Collecting Data Through Surveys 127


11 Geometry 13311.1 Types of Angles 13311.2 Types of Lines and Line Segments 13311.3 Copying a Line Segment 13411.4 Copying an Angle 13511.5 Drawing a Bisector of an Angle 13611.6 Drawing the Perpendicular Bisector of a Line Segment 13911.7 Drawing Parallel Lines 14011.8 Plane Figures 14211.9 Congruent Figures 14211.10 Similar and Congruent 14511.11 Similar Triangles 14611.12 Solid Figures 14811.13 Cross Sections 14811.14 Movement of Plane Figures Through Space 15111.15 Formation of a Cube 15111.16 Formation of a Rectangular Prism 15111.17 Formation of a Cone 15211.18 Formation of a Cylinder 15211.19 Formation of a Sphere 15311.20 Formation of a Pyramid 153


12 Transformations and Symmetry 15712.1 Drawing Geometric Figures on a Cartesian Coordinate Plane 15712.2 Re ections 16012.3 Translations 16312.4 Rotations 165

vi

Contents

12.5 Transformation Practice 16612.6 Dilations 16712.7 Symmetry 16912.8 Re ectional Symmetry 16912.9 Rotational Symmetry 16912.10 Translational Symmetry 17012.11 Symmetry Practice 171


Practice Test 1 177

Practice Test 2 189Index 199

vii

Diagnostic Test

1. 325

is the same as

(A) 3 4(B) 3 25(C) 0 34(D) 0 034 M7N1b

2. Look at the triangles below, 4 issimilar to4 .

A

B C

D

E F

Which side is similar to ?

(A)(B)(C)(D) M7G3a

3. A table and chairs set that normally sellsfor $450 00 is on sale this week for 30% offthe regular price. How much money wouldTrina save if she bought the set this week?

(A) $30 00(B) $31 50(C) $135 00(D) $315 00 M7N1d

4. Andrea has 10 more jellybeans than herfriend Chelsea, but Andrea has half as manyas Rebecca. Which expression below bestdescribes Rebecca’s jelly beans?

(A) = 2 + 20(B) = + 10

(C) = +1

2(D) = 2 + 10 M7A1a

5. What is the value of the expression5( + 6) when = 3?

(A) 9(B) 15(C) 9(D) 45 M7A1b

6. A builder is constructing a fence 85 feetlong. Each section of fence contains 6beams of wood and takes up 21

2feet. How

many beams of wood will the builder need?

(A) 102 beams(B) 204 beams(C) 308 beams(D) 420 beams M7A3d

7. What is the measure of the missing side inthe similar triangles below?

10 in

35 in

4 in

?

(A) 14 in(B) 11

7in

(C) 12 in(D) 87.5 in M7G3b

8. Simplify the following expression:(2 6) + (4 + 3)

(A) 6 3(B) 8 3(C) 8 18(D) 6 + 9 M7A1c

Copyright c°American Book Company 1

2.7 Fraction Word Problems

2.7 Fraction Word Problems

Solve and reduce answers to lowest terms.

1. Sara works for a movie theater and sellscandy by the pound. Her rst customer buys113

pounds of candy, the second buys 34

ofa pound, and the third buys 4

5pound. How

many pounds does she sell to the rst threecustomers?

2. Beth has a bread machine that makes aloaf of bread that weighs 11

2pounds. If she

makes a loaf of bread for each of her threesisters, how many pounds of bread will shemake?

3. A farmer hauls in 120 bales of hay. Eachof his cows eats 11

4bales. How many cows

does the farmer feed?

4. Juan was competing in a 1000-meter race.He had to pull out of the race after running 3

4of it. How many meters did he run?

5. Tad needs to measure where the free throwline should be in front of his basketball goal.He knows his feet are 11

8feet long and the

free-throw line should be 15 feet from thebackboard. How many toe-to-heal stepsdoes Tad need to take to mark off 15 feet?

6. A chemical plant takes in 512

million gallonsof water from a local river and discharges 32

3million back into the river. How much waterdoes not go back into the river?

7. In January, Jeff lls his car with 1112

gallonsof gas the rst week, 131

3gallons the second

week, 1214

gallons the third week, and 1015

gallons the fourth week. How many gallonsof gas does he buy in January?

8. Li Tun makes sandwiches for his family.He has 81

4ounces of sandwich meat. If

he divides the meat equally to make 412

sandwiches, how much meat will eachsandwich have?

9. The company water cooler started with413

gallons of water. Employees drank 334

gallons. How many gallons were left in thecooler?

10. Rita buys 14-pound hamburger patties for her

family reunion picnic. She buys 50 patties.How many pounds of hamburger does shebuy?

Copyright c° American Book Company 29

Chapter 3 Decimals

3.10 Comparing the Relative Magnitude of Numbers

When comparing the relative magnitude of numbers, the greater than ( ), less than ( ), andthe equal to ( = ) signs are the ones most frequently used. The simplest way to compare numbersthat are in different notations, like percent, decimals, and fractions, is to change all of them to onenotation. Decimals are the easiest to compare.

Example 9: Which is larger: 11

4or 1 3?

Answer: Change 11

4to a decimal.

1

4= 0 25, so 1

1

4= 1 25, which is smaller than 1 3.

Example 10: Which is smaller: 60% or2

3?

Answer: Change both to decimals.

60% = 0 6 and2

3= 0 66

0 6 is smaller than 0 66, so 60%2

3

Fill in each box with the correct sign.

1. 23 4 2312

2. 17% 17

3. 38

37 5%

4. 25% 210

5. 234% 23 4

6. 17

14%

7. 13 95 1389

8. 4 0 40%

9. 25% 32

10. 124

300%

11. 6% 116

12. 1 33 43

13. 0 8 45

14. 75% 34

15. 58

62%

Compare the sums, differences, products, and quotients below. Fill in each box with thecorrect sign.

16. (32 + 15) (65 17)

17. (45 13) (31 + 9)

18, (24÷ 4) (24÷ 6)

19. (48÷ 6) (4× 3)

20. (4× 3) (48÷ 6)

21. (18× 4) (5× 17)

22. [(1 + 3) + 5] [5 + (3 + 1)]

23. [1 + (3 + 5)] [(5 3) + 1]

40 Copyright c° American Book Company

4.4 Changing Algebra Word Problems to Algebraic Equations

4.4 Changing Algebra Word Problems to Algebraic Equations

Example 3: There are 3 people who have a total weight of 595 pounds. Sally weighs 20pounds less than Jessie. Rafael weighs 15 pounds more than Jessie. How muchdoes Jessie weigh?

Step 1: Notice everyone’s weight is given in terms of Jessie. Sally weighs 20 poundsless than Jessie Rafael weighs 15 pounds more than Jessie. First, we writeeveryone’s weight in terms of Jessie, .

Jessie =

Sally = 20

Rafael = + 15

Step 2: We know that all three together weigh 595 pounds. We write the sum ofeveryone’s weight equal to 595.

+ 20 + + 15 = 595

We will learn to solve these problems in the next chapter.

Change the following word problems to algebraic equations.

1. Fluffy, Spot, and Shampy have a combined age in dog years of 91. Spot is 14 years youngerthan Fluffy. Shampy is 6 years older than Fluffy. What is Fluffy’s age, , in dog years?

2. Jerry Marcosi puts 5% of the amount he makes per week into a retirement account, . He ispaid $11 00 per hour and works 40 hours per week for a certain number of weeks, . Write anequation to help him nd out how much he puts into his retirement account.

3. A furniture store advertises a 40% off liquidation sale on all items. What would the sale price( ) be on a $2530 dining room set?

4. Kyle Thornton buys an item which normally sells for a certain price, . Today the item isselling for 25% off the regular price. A sales tax of 6% is added to the equation to nd the nalprice, .

5. Tamika Francois runs a oral shop. On Tuesday, Tamika sold total of $600 worth of owers.The owers cost her $100, and she paid an employee to work 8 hours for a given wage, .Write an equation to help Tamika nd her pro t, , on Tuesday.

6. Sharice is a waitress at a local restaurant. She makes an hourly wage of $3 50 plus she receivestips. On Monday, she works 6 hours and receives tip money, . Write an equation showingwhat Sharice makes on Monday, .

7. Jenelle buys shares of stock in a company at $34 50 per share. She later sells the shares at$40 50 per share. Write an equation to show how much money, , Jenelle has made.


Chapter 6 Solving Multi-Step Equations

6.7 Multi-Step Algebra Problems

You can now use what you know about removing parentheses, combining like terms, and solvingsimple algebra problems to solve problems that involve three or more steps. Study the examplesbelow to see how easy it is to solve multi-step problems.

Example 10: 3 ( + 6) = 5 2

3 + 18 = 5 2

5 52 + 18 = 2

18 182

2=

20

2

= 10

Step 1: Use the distributive property to remove parentheses.

Step 2: Subtract 5 from each side to move the terms withvariables to the left side of the equation.

Step 3: Subtract 18 from each side to move the integers to theright side of the equation.

Step 4: Divide both sides by 2 to solve for .

Example 11:3 ( 3)

2= 9

3 9

2= 9

/2 (3 9)

/22 (9)

3 9 = 18+9 +9

3

3=27

3

= 9

Step 1: Use the distributive property to remove parentheses.

Step 2: Multiply both sides by 2 to eliminate the fraction.

Step 3: Add 9 to both sides, and combine like terms.

Step 4: Divide both sides by 3 to solve for .

Solve the following multi-step algebra problems.

1. 2 ( 3) = 4 + 6

2.2 ( + 4)

2= 12

3.10 ( 2)

5= 14

4.12 18

6= 4 + 3

5. 2 + 3 = 30

6.2 + 1

3= + 5

7. 5 ( 4) = 10 + 5

8. 8 ( + 4) = 10 + 4


Chapter 7 Ratios and Proportions

7.3 Proportion Word Problems

Example 3: A stick one meter long is held perpendicular to the ground and casts a shadow0.4 meters long. At the same time, an electrical tower casts a shadow 112meters long. Use ratio and proportion to nd the height of the tower.

x

112 meters

1 meter

0.4 meters

Step 1: Set up a proportion. Put the shadow lengths on one side of the equation and putthe heights on the other side. The 1 meter height is paired with the 0 4 meterlength. Let the unknown height be .

shadow objectlength height

0 4

112=

1

Step 2: Solve the proportion as you did on page 73.

112× 1 = 112 112÷ 0 4 = 280Answer: The tower height is 280 meters.

Use ratio and proportion to solve the following problems.

1. Rudolph can mow a lawn that measures1000 square feet in 2 hours. At that rate,how long would it take him to mow a lawn3500 square feet?

2. Faye measures the shadow of her schoolbuilding to be 6 feet. At the same time, shemeasures the shadow cast by a 5 foot statueto be 2 feet. How tall is her school building?

3. Out of every 5 students surveyed, 2 listento country music. At that rate, how manystudents in a school of 800 listen to countrymusic?

4. Butter y, a Labrador Retriever, has a litterof 8 puppies. Four are black. At that rate,how many puppies in a litter of 10 would beblack?

5. On a bag of fertilizer, 5 pounds of fertilizerare needed for every 100 square feet of lawn.How many square feet will a 25-pound bagcover?

6. A race car can travel 2 laps in 5 minutes. Atthis rate, how long will it take the race car tocomplete 100 laps ?

7. If it takes 7 cups of our to make 4 loavesof bread, how many loaves of bread can youmake from 35 cups of our?

8. If 3 pounds of jelly beans cost $6 30, howmuch would 2 pounds cost?

9. For the rst 4 home football games, theconcession stand sold a total of 600 hotdogs.If that ratio stays constant, how manyhotdogs will sell for all 10 home games?


8.7 Recognizing Functions

8.7 Recognizing Functions

Recall that a relation is a function with only one value for every value. We can depict functionsin many ways including through graphs.

Example 8:

This graph IS a function because it has only one value for each value of .

Example 9:

This graph is NOT a function because there is more than one value for each value of .

HINT: An easy way to determine a function from a graph is to do a vertical line test. First, drawa vertical line that crosses over the whole graph. If the line crosses the graph more than one time,then it is not a function. If it only crosses it once, it is a function. Take Example 9 above:

Since the vertical line passes over the graph six times, it is not a function.


9.7 Quartiles and Extremes

9.7 Quartiles and Extremes

In statistics, large sets of data are separated into four equal parts. These parts are called quartiles.The median separates the data into two halves. Then, the median of the upper half is the upperquartile, and the median of the lower half is the lower quartile. The distance between the upperquartile and the lower quartile is the interquartile range. The interquartile range is sometimesused in the place of range, especially when there are outliers in the data set. Interquartile range isalso another type of variability of the data.The extremes are the highest and lowest values in a set of data. The lowest value is called thelower extreme, and the highest value is called the upper extreme.

Example 8: The following set of data shows the high temperatures (in degrees Fahrenheit)in cities across the United States on a particular autumn day. Find the median,the upper quartile, the lower quartile, the upper extreme, and the lower extremeof the data.

15 21 23 25 32 37 40 48 51 53 55 56 57 57 59 60 61 61 65 66 67 69 79

median(middle data point)

lower half upper half

upper quartile

(middle data pointof upper half)

lower quartile

(middle data pointof lower half)

lower extreme(lowestvalue)

upper extreme(highestvalue)

Example 9: The following set of data shows the fastest race car qualifying speeds in milesper hour. Find the medium, the upper quartile, the lower quartile, the upperextreme, and the lower extreme of the data.

152 153 153 154 156 158 160 161 163 163 164 164 164 165 165 166

lower half upper half

162median

164upper

quartile

155lower

quartile

upper extreme

lowerextreme

Note: When you have an even number of data points, the median is the average of the two middlepoints. The lower middle number is then included in the lower half of the data, and the uppermiddle number is included in the upper half.

Find the median, the upper quartile, the lower quartile, the upper extreme, and the lowerextreme of each set of data given below.

1. 0 0 1 1 1 2 2 3 3 4 5

2. 15 16 18 20 22 22 23

3. 62 75 77 80 81 85 87 91 94

4. 74 74 76 76 77 78

5. 3 3 3 5 5 6 6 7 7 7 8 8

6. 190 191 192 192 194 195 196

7. 6 7 9 9 10 10 11 13 15

8. 21 22 24 25 27 28 32 35


Chapter 10 Data Interpretation

Study the line graphs below, and then answer the questions that follow.

equator

90 N°

90 S°

0°

30 N°

30 S°

10

100

1000

Latitude ( N)°

No.

of

Spec

ies

of B

irds

Number of Species of BirdsCentral and North America

0 10 20 30 40 50 60 70 80

After reading the graph above, label each of the following statements as true or false.

1. There are more species of birds at the North Pole than at the equator.

2. There are more species of birds in Mexico than in Canada.

3. As the latitude increases, the number of species of birds decreases.

4. At 30 N there are over 100 species of birds.

5. The warmer the climate, the fewer kinds of birds there are.

These true or false statements, 6–10, refer to the graph on the left.

1000

100

Num

ber

of K

inds

of A

nim

als

90 N ° 60 N ° 30 N ° 0 °30 S° 60 S° 90 S° Latitude

6. The farther north and south you go from the equator,the greater the variety of animals there are.

7. The closer you get to the equator, the greater thevariety of animals there are.

8. There are fewer kinds of animals at 30 S than at60 S latitude.

9. The number of kinds of animals increases as thelatitude increases.

10. The number of kinds of animals increases at thepoles.


11.11 Similar Triangles

To nd the scale factor in the problem on the previous page, we must divide a value from thesecond triangle by the corresponding value from the rst triangle. The value 16 is from the second

triangle, and the corresponding value from the rst triangle is 12. =16

12=4

3The scale factor in this problem is 4

3.

To check this answer multiply every term in the rst triangle by the scale factor, and you will getevery term in the second triangle.

12× 43= 16 9× 4

3= 12 6× 4

3= 8

Find the missing side from the following similar triangles.

1.

35

6

4

?

2.

?

129

18

3.

10 in

15 in

6 in

?

4.

5

10

4 ?

5.

18 m

12 m 12 m 6 m

?

6.

25 ft

24 ft

15 ft

?

7.

5 cm

36 cm

15 cm

?

8.

?

18 in

8 in

12 in


Chapter 11 Geometry

11.12 Solid Figures

cube rectangularprism

cone

cylinder sphere pyramid

11.13 Cross Sections

Cross Sections of Cubes


11.13 Cross Sections

Cross Sections of Rectangular Prisms

Cross Sections of Cones

Cross Sections of Cylinders


Chapter 11 Geometry

Cross Sections of Spheres

Cross Sections of Pyramids


11.16 Formation of a Rectangular Prism

11.14 Movement of Plane Figures Through Space

Plane objects, like circles and triangles, can form solid objects if they are moved through space.

11.15 Formation of a Cube

A cube is formed by moving a square in a straight line through space.

11.16 Formation of a Rectangular Prism

A rectangular prism is formed by moving a rectangle or square in a straight line through space.


Chapter 12 Transformations and Symmetry

Chapter 12 Test

1. If the gure below were re ected across the-axis, what would be the coordinates of

point C?

A

B

C0

−1

−2

−3

−4

1

2

3

4

1−1−2−3 2 3D

y

x

(A) (2 1)(B) (2 1)(C) ( 2 1)(D) ( 2 1)

2. If the gure below is translated in thedirection described by the arrow, what willbe the new coordinates of point D after thetransformation?

A

B

C0 1−1−2−3 2 3D

y

x

(A) ( 2 3)(B) ( 1 3)(C) ( 1 4)(D) ( 2 4)

3. What kind(s) of symmetry does thefollowing gure have? Choose the bestanswer.

(A) 90 rotational symmetry(B) 180 rotational symmetry(C) complete rotational symmetry(D) no symmetry

4. What kinds of symmetry does the followinggure have? Choose the best answer.

(A) 12

rotational symmetry(B) re ectional symmetry(C) translational symmetry(D) no symmetry

5. How many lines of symmetry can be drawnthrough the following gure? Choose thebest answer.

(A) 2(B) 4(C) in nite(D) none


Practice Test 1

1. Of the 410 visitors at the museum onSaturday, 164 are students. What percent ofthe visitors are NOT students?

(A) 30%(B) 40%(C) 50%(D) 60% M7N1d

2. George has scores of 76, 78, 79, and 67 onfour history tests. What is the lowest scoreGeorge can have on the fth test to have anaverage score of 80?

(A) 85(B) 90(C) 95(D) 100 M7D1c

3. Looking at the similar triangles below, whatis the measure of the missing side?

18 m

9 m 9 m 6 m

?

(A) 9 m(B) 2 m(C) 12 m(D) 3 m M7G3b

4. In a basketball shooting contest, whichof the following players has the lowestpercentage of shots made?

(A) Erica makes 2 out of 7 shots.(B) Greg makes 60% of his shots.

(C) Bob makes3

8of his shots.

(D) Kent makes 5 out of 8 shots. M7N1b

5. Solve for :

2( + 5) + 4(2 1) = 14

(A) = 2(B) = 1(C) = 14

5

(D) = 1 210

M7A2b

6. Solve.

7

μ3

4

¶μ3

4

¶=

(A) 614

(B) 6 716

(C) 434

(D) 512

M7N1c

7. Simplify: (12 4) (8 + 4)

(A) 4(B) 4 8(C) 20 8(D) 20 M7A1c

8. If 60 students eat 24 pizzas, whichproportion below may be used to ndthe number of pizzas required to feed 15students?

(A)60

24=15

(B)60

24=15

(C)60

15=24

(D)60=15

24M7A3d


Practice Test 2

1. Use indirect variations for the following. If= 12 and = 3, what is the value of

when = 7?(A) 5.1(B) 28(C) 16(D) 22 M7A3d

2. Which set of numbers has the greatestrange?(A) {95 86 78 62}(B) {90 65 83 59}(C) {32 29 44 56}(D) {29 35 49 51} M7D1d

3. The band teacher took a survey of reasonsstudents took his class. He made thefollowing histogram from the data hecollected.

I love music

Why Students Take Band

Number of Students0 5 10 15 20 25 30

My parent(s) made me

I thought it would be fun

I thought itwas required

I enjoy a challenge

I heard it was an easy A

Which reason for taking band is the mode ofthe data?(A) I enjoy a challenge.(B) I love music.(C) I thought it would be fun.(D) I heard it was an easy A. M7D1c

4. Della is renting a car for the day. The rentalfee ( ) is $30 plus $0 25 per mile ( ).Which of the following equations representsthis cost?

(A) = 0 30 + 25(B) = 30 + 0 25(C) = 0 25 + 30(D) = (0 25 + 30) M7A1a

5. Susan and Jane are going shopping. Susanhas $30 less than Jane. Which of thefollowing could NOT be the amount ofmoney Jane has?

(A) $20(B) $40(C) $80(D) $160 M7N1d

6. The monthly incomes of 5 individuals areshown below:$2 500; $10 000; $2 700; $2 700; $2 000Which of the following best representsthe approximate difference between themean and the median of these ve monthlyincomes?

(A) $1 200(B) $1 300(C) $1 900(D) $2 700 M7D1c

7. Simplify: 4 2 + 3 5 (3 2 + 2)

(A) 4 2 7(B) 2 + 3 7(C) 2 + 3 3(D) 7 2 + 3 3 M7A1c


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