crct review great!

8/2/2019 CRCT Review Great!

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Who Will be YOUR CRCT IDOL???

Name:__________________ Block: ______________Its that time of year again, and EVERYONE wants to be the

NEXT..CRCT Idol! Each contestant has his or her own strengths andweaknesses, and it will be up to the judges, you, and their performance

scores to determine who will be #1!Complete the problems that relate to each of the 7 contestants. In

the score box at the bottom of each page, fill in the score that is given tothe contestant by each of their judges ( you will take the SUM of thespecific questions and that will be the score, i.e. the sum of the answers ofquestion #1-8 will be the score given by Judge Mitchell).Once you have all5 scores, find the TOTAL for each contestant. At the end of this reviewpacket, you will know who this years CRCT Idol will be!

MEET Contestant #1! Contestant #1 loves to rock and findthe average interests of his fans, the median number of songs

per album, and the range of rock and roll songs that he cancover. See how the judges feel about contestant #1 bycalculating the following measures of variation andcentral tendency!

Find the mean, median, mode, and range of the data set[19,10,16,2,10,6,7].

1. Mean: 3. Mode:2. Median: 4. Range:Find the mean, median, mode, and range of the data set

[3 ,3, 9,12,15, 10]. If necessary, round to the nearest tenth.

5. Mean: 7. Mode:6. Median: 8. Range:Use the time data to answer the following questions:20 minutes, 1 hour, 15 minutes, 50 minutes, 1 hour and 10 minutes,40 minutes, 30 minutes, 1 hour and 5 minutes, 40 minutes9. What is the average amount of time?10. What is the range in the amount of time?11. Which of the following is an outlier in the data set:

[2, 3, 4, 6,7,7, 7,8,10,12,12,14,16,50]?12. The average height of the 5 starting Basketball players is 74 inches. If fourof the player have heights of, 72, 75, 78, and 73; What is the height of the 5th

player?Create a box and whisker plot using the following data:[ $5, $12, $9, $10, $6, $5 ]

13. What is the upper quartile of the data?14. What is the lower quartile of the data?


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15. Create a stem and leaf plot from the following data; students quiz grades:100, 80, 65, 90, 100, 75, 70, 65, 95, 80, 100, 95, 85, 100, 75, 90, 90

What is the mean of the data?

Create a box and whisker plot using the following data:[ $10, $9, $6, $27, $15, $10, $22 ]

16. What is the interquartile range of the data?17. What is the range of the data?

18. The data set {1, 1, 5, 5, 9, 9} contains how many modes?19. Renee spent an average of $3.00/week on extras last month. If she spent$5.00, $2.25, and $3.00 the first 3 weeks, what did she spend in week 4?

20. The average weight of 6 kittens in a litter was 1.75 lbs. If the first 5weights are 1.4 lbs, 2 lbs, 1.9 lbs, 2 lbs, and 1.7 lbs, what was the weight ofthe 6th kitten?

AND the judges say

JudgeMitchell(answers 1-4)

JudgeJohnson(answers 5-8)

JudgeCulver

(answers 9-12)

JudgeSingleton(answers 13-16)

JudgeHarris

(answers 17-20)

TotalContestant

Score!


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MEET Contestant #2! Contestant #2 is a brand new artist and enjoystranslating classics in other languages, evaluating her audience and theirfavorites, and grouping like genres in her performances each night.Contestant #2 likes keeping things basic and is hoping to simplify her lifeby winning this years CRCT idol! See what the judges have to say..

1. Evaluate the expression if A = 9, B = 9, and C = 8a + 5b c3

Evaluate the following expressions if a = 7

1. 2. 5a + 3 3. 9a 4. 12 ( a + 2) 5. Ifx= 3, find 3x2 + 5x.

6. Maria started the summer with $10. Each time she babysat, she was paid $12. At the end of thesummer, the neighbor gave her a bonus of $30. Write an equation for her total funds, then solve theequation for babysitting 10 times.7. Translate the phrase into an algebraic expression:Eight less than twice as many doughnutsTHEN evaluate the expression for 24 doughnuts.

8. Simplify, then solve the equation for e.15e + 6 - 11e - 3 + 4e = 27

9. Use a T chart to solve the equation for m.m + 9 = 567

Solve each equation for the variable:10. 3(b 5) = 6 11. 65 + w = 106 12. 3(1 +2m) + m = 24 13. 7c + 46 = 48

14. Jessica bought T adult tickets to a carnival for $10 each and S student tickets for $5 each.Write an expression for the total cost, and then evaluate for 2 adults and 3 students.15. Joannas father rented a car while they were on vacation. He paid a rental fee of $25.00 perday, plus $50 in mileage. His total bill for renting the car was $350.00. For how many days did he

rent the car?16. 3c + 8 + 7c 4 + c What is the value of the expression if c = 4?

17.2

m

+16 7 + n + 3n What is the value of the if m = 12 and n = 3?

Solve for y18. 4y + 22 = 94 19. 3y ( y + 2) 20. y 11= 33

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant

Score!


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MEET Contestant #3! Contestant #3 enjoys all types of music, and although shehas positive AND negative things to say about all of the other performers, shebelieves in the absolute value of each! Contestant #3 has a rationaltaste for all types of music but prefers to two step for the judges. Lets see howcontestant #3 can do!1. Simplify: |18| - |-4| 2. Simplify: |25| + |- 10|

3. Simplify: |9| + - |-5| 4. Simplify: |30| + - |- 13|Order the rational numbers below fromleast to greatest and graph them on the number line.

0, 2, -1

4, -1.5,

1

2_____________________________________

5. Which number above has the GREATEST absolute value?6. Which number above has the LEAST absolute value?

7. Solve for m: m

6+ 3 = 8

8.Translate the following into an equation and solve: James started with 20 flowers. He gave 6of his friends each an equal number of flowers. He has 8 left. How many flowers did he give eachfriend?Equation:______________________ Solution:____________________

The perimeter of the triangle is 34 yards. Simplify the algebraic expressions to find the lengths ofthe sides of the triangle.

x 1 x

x+29. x = _____________ 11. Side 2: ____________

10. Side 1:__________ 12. Side 4: ____________13. In which quadrant will you find the point (3,6)?

14. In which quadrant will you find the point (-7,10)?15. Ifx= 3, find 5x2 3x.

16. Simplify: x2 + 4 18 9 x if x = 2 18. (-9)(3) =

17. 17 + (-4) = 19. 28 55 =

20. A scuba diver is 40 feet below sea level while a seaplane is 50 feet above sea level. How farapart above the scuba diver is the seaplane?

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant

Score!


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MEET Contest ant #4 ! Contestant #4 is a natural perfo rmer who lo ves to Flip,Slide, and Turn all over the stage! The judges love contestant #4 because he cannot only sing and play piano but dance through all 4 quadrants. Lets see whichangle contestant #4 takes for tonights performance!1. John wants to place a sign on Hunnicut Road. He chooses to bisect Hunnicut Road,which is 18 miles long, and place the sign there. How many miles down Hunnicut Road

will the sign be posted?

M

2. If the length of DM is 13 inches, what is the length of ME?

3. If AB is a perpendicular bisector of DE, then what is the angle measurement of angle DMA?

Draw the preimage ABC with vertices A(1,4), B(5,1), and C(1,1) on the coordinate plane.4. If ABC is translated left 10 and up 3, whichQuadrant will the image be in?5. If ABC is rotated 180 degrees counterclockwise,

which quadrant will the image be in?

6. IfABC is reflected across the X axis, whichQuadrant will the image be in?

7. How many of the following could be used to name the angle above? _____

CAB CBA B ABC8. How many of the following are used to make constructions? ____Compass protractor scissors straightedge

9. Mrs. Micelli placed a picture of an equilateral triangle on an overhead projector in her math

class. The overhead projector dilated the triangles image on the screen by a scale factor of 3.5.If the length of each side of the actual triangle is 5 cm, what is the length of each side of thedilated triangle on the screen?

A

C

B


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A

D

B C

10. If the measure of angle ABC is 80 degrees and it is bisected by ray BD, what is the measureof angle ABD?

11. If the measure of angle ABC is 80 degrees and it is bisected by ray BD, what is the measureof angle DBC?

12. If point L was translated up 5, what would the new Y coordinate of L be?

13. If point M was reflected over the X axis, what would the new Y coordinate of M be?14. If point K was reflected over the Y axis, what would the new X coordinate of K be?

15. If point L was translated down 10, what would the new Y coordinate of L be?

16. If point M was translated right 10, what would the new X coordinate of M be?

17. Scenic Road bisects Moutainview Rd. and creates East Mountainview and West MountainviewRoad. If Moutainview Rd. is a total of 28 miles, how long is East Mountainview Rd?

18. Mr. Carver placed a picture of an square on an overhead projector in his math class. Theoverhead projector dilated the triangles image on the screen by a scale factor of . If the

length of each side of the preimage square is 10 cm, what is the length of each side of thedilated square on the screen?

The vertex (2, 7) is dilated by a scale factor of 3.

19. What is the X coordinate after dilation? 20. What is the Y coordinate after dilation?

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant

Score!


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Meet Contestant #5! Contestant #5 will not be left in the shadows! SheWants the judges to think of properties of similarity when comparingHer to a superstar! Proportionately, shes the biggest star theyve got!Lets see if contestant 5s performance matches her attitude on the stage!1. Kira is drawing a map with a scale of 1 inch = 30 miles. The actualDistance from Park City to Gatesville is 80 miles. How far from the dot for Gatesville should Kiradraw the dot for Park City?2. A 5 foot girl casts a 7 foot long shadow. A nearby telephone pole casts a 35 foot long shadow.What is the height of the telephone pole?

3. A poster is 72 inches wide and 48 inches high. It must be reduced to fit into a space that is 4inches high. What is the width of the reduced poster?4. The scale on a road map is 1 centimeter = 500 miles. If the distance on the map betweenNew

York City and Memphis is 2.2 centimeters, what is the actual distance between the two cities?

The area of ABC is 6 square inches and the perimeter is 12 inches. If the scale factor is 3, whatis the5. area of ABC?6. perimeter of ABC?7. Using the illustration, determine the height of the streetlight using your knowledge

of similar figures.

8. A palm tree casts a shadow that is 44 feet long.A 6-foot ladder casts a shadow that is 16 feet long.Use proportions to estimate the height of the palm tree.9. Nicole decides to dilate the area of her rectangular dog pen. The length of her original dog penis 7 feet and the area is 35 square feet. The length of the new dog pen will be 14 feet. What isthe area of the new dog pen?

10. The two rectangular picture frames at the below are similar. What is the height of the largerpicture frame?

11. On a scale drawing a tree is 6 inches tall. The scale factor is 1/20. What is the actual heightof the tree in inches and feet? Draw a picture.12. Congratulations to the South Cobb Eagles on their voyage to the 44th Presidents InauguralParade. On a road map of Georgia, the distance from Atlanta to Washington, D.C., is 16

centimeters. What is the actual distance between the cities if the map scale is 2 centimeters = 40miles?13. For a school project, LeeAnn is making a model of the Georgia Dome. She is using a scale of1 centimeter = 8 feet. The Georgia Dome is 275 feet tall. How tall is her model?14. Determine the scale factor from the enlarging of the first figure to the second figure.


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5 in 15in

Figure A ~ Figure B

9in. Figure AX Figure B

12in. 4 in.

15. Using the diagrams above, find the value of x?16. Area of Figure A?17. Area of Figure B?

18. Perimeter of Figure A?19. Perimeter of Figure B?20. What is the scale factor use to reduce Figure A to Figure B?

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant

Score!


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Meet Contestant #6 ! Contestant #6! Contestant 6 adds variation to this yearsCompetition! She will focus directly on her audience while performing and isfamous for her function robot break dance! Lets go #6!1. Sandra uses 2 cups of sugar to bake 6 batches of chocolate chip cookies. Howmany cups of sugar would she need to bake 10 batches cookies?

2. If y=15 and x=6, using an inverse proportion (variation), what is the value of y when x=18?3. Y varies directly with x. If y=6 and x=2, what is the value of y when x=5?4. The cost per person to rent an event space varies inversely with the number of people who

participate. If the cost per person is $72 when 3 people participate, what is the cost per personif 8 people participate?

5. Sherry buys lunch every day at Taco 4-U at the mall. She has a line of credit of $25 per week.She spends $4.25 each day for a taco and a drink. How much credit does she have left after 5days?

Mei Ling has a discount coupon for $5 off her next purchase of tennis balls. Tennis balls are on

sale for $3 per can. The equation y= 3x- 5 gives her final cost, y, to purchase xcans of tennisballs.

6. Ifx= 3, what is the value ofy? 7.Ifx= 5, what is the value ofy?8. LaSonya bought 20 shares of stock for $175. She sold the stock for a total profit of $25. Whatwas the selling price of each share of stock?

9. Given the equation y = -2x, find the value of x when y = -16.10. Weight varies directly with gravity. With his equipment on an astronaut weighs 360 poundson earth but only 60 pounds on the moon. If another astronaut had landed on the moon thatweighed 54 pounds with her equipment, how much would she weigh on Earth with equipment?11. A refund you get varies directly as the number of cans you recycle. If you get a $3.75 refundfor 75 cans, how much should you get for 500 cans?In the following problems, x and y vary inversely.12.If y = 9 when x = 7, find y when x = 213. If y = 4.3 when x = 12.9, find y when x = 15.14. If y = 6 and x = 4, find y when x = 815.If y = 6 and x = 2, find y when x= 4?In the following problems, x and y vary directly.16. if y = 20 when x = 5, find y when x is 15

17. if y = 90 when x = 15, find y when x is 3.18. If y = 21 when x = 7, find y when x = 2. 519. if y = 100 when x = 10, find y when x = 1320. Candaces yearly salary varies directly as the number of comic books that she writes. If hersalary for 5 books is $35,000, how much would it be for 30 books?

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant


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Score!

Meet Contestant #7! Contestant 7 dances out of the shadows and onto the stage,slicing left and right, crossing the judges at vertical and horizontal angles. Lets see if the

judges can handle his moves!Consider the following 3D figures:Cube Cylinder Rectangular Pyramid Cone Rectangular Prism

1. How many of the above solids have triangles as vertical cross sections?

2. How many of the above solids have rectangles as vertical cross sections?

3. How many of the above solids have circles as horizontal cross sections?4. How many of the above solids have circles as vertical cross sections?

5. How many faces does a cube have?

6. How many of the above solids can be formed by translating congruent

Circles?

7. How many of the above solids can be formed by rotating a triangle?

8. How many of the above solids can be formed by rotating a rectangle?

9. How many of the above solids can be formed by translating a rectangle?

10. How many of the above solids can be formed by rotating a circle?

The cylinder at the right has a height of 12 inches and a diameter of

4 inches.

11. What would the height of the vertical cross section of theCylinder be?

12. What would the diameter of the horizontal cross section be?

13. What is the greatest number of sides in a polygonal cross section of a cube?

14. A hexagon has how many sides?15. A pentagon has how many sides?16. A triangular pyramid has how many triangular faces?17. A rectangular pyramid has how many triangular faces?

18. A square that measures 4 inches on each side is translated 16 inches through space. What isthe height of the rectangular prism that is created?19. A circle with a diameter of 9 centimeters is translated 25 inches through space. What is the

height of the cylinder that is created?20. A sphere has how many edges?

AND the judges say



JudgeCulver

(answers 9-12)


JudgeHarris

(answers 17-20)

TotalContestant

Score!


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