FINAL EXAM REVIEW MA 08 #1

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1 FINL EXM REVIEW M 08 #. Jared is going to perform an experiment in which he spins each spinner once. What is the probabilit that the first spinner will land on, the second spinner will land on an even number, and the third spinner will land on lue? Express our answer as a fraction in simplest form. Spinner Spinner Spinner lue Green Red 8. Jean spins two spinners. Find the probabilit that the first spinner will NOT show an even number and that the second spinner will NOT show an odd number. Express our answer as a fraction in simplest form.

2 . Gabriel tossed a paper cup 0 times and recorded how the cup landed each time. He organized the results in the table shown. Find the experimental probabilit that the cup will NOT land right-side up. Express our answer as a fraction in simplest form. Outcome Right-side up Upside down On its side Frequenc Nick tossed a paper cup 0 times and recorded how the cup landed each time. He organized the results in the following table. ased on Nick s results, which wa is the cup most likel to land? Outcome Right-side up Upside down On its side Frequenc 0 6 upside down on its side right-side up

3 5. juice compan gives prizes to anone finding speciall marked caps on its bottles. You and our friends bu 5 bottles of juice. You find of the bottles have a winning cap. What is the experimental probabilit of winning a prize in the contest? Express our answer as a fraction in simplest form n experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equall likel outcomes. What is the probabilit that the total shown on both number cubes is? Express our answer as a fraction in simplest form

4 7. n experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equall likel outcomes. What is the probabilit that the total shown on both number cubes is greater than or equal to 8? Express our answer as a fraction in simplest form

5 8. n experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equall likel outcomes. What is the probabilit of rolling at least one 6? Express our answer as a fraction in simplest form combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0 to. How man different combinations are possible with the lock? combinations 5 combinations 6 combinations 5 combinations 5

6 0. middle school contains 6 th, 7 th, and 8 th grade classes. One student from each grade will be chosen to represent the school in an essa contest. The 6 th grade finalists are Manuel, Sarah, Luis, and Eiko. The 7 th grade finalists are enji, Eric, and Sandra. The 8 th grade finalists are Hilda, Elizabeth, and Robb. How man different was can the students be chosen?. 7 possible was. 0 possible was. 6 possible was. 5 possible was. Matt is taking a walk in the park. The following vertex-edge graph represents the difficult level of the paths in the park. The higher the number the more difficult the level is. Which path from K to M is the LEST difficult?.... 6

7 . The following vertex edge graph shows how man minutes it takes from stoplight to stoplight on our bike. Which path takes the longest amount minutes to get from to G? F G E G E G F E G. What are the diameters in circle P? OQ, KI K Q PQ, PI, PO, PK P IQ, OK, KQ QK O I. What are the chords in circle P? P, PH, PV, PY Y H, VYYVYH,,, P V, YH PY V H 7

8 5. What are the diameters in circle U? Z V XZ, VZ VY Y U W UV, UW, UX, UY X XV, YW 6. What are the chords in circle L? Q M MP LM, LN, LO, LP P L N OQ, MQ, MO, NP O OM, PN 7. Which line segment is the diameter? 8. Which is the name of a tangent? E OF 8

9 9. Triangle is similar to triangle MNO. What is the length of?. inches 7.5 inches 7 inches 9 inches 0. Find the length of the unknown side. Round our answer to the nearest tenth. 7 m a 8 m.7 m m 6 m 5 m 9

10 . Which of the following is a 90 rotation of the figure? 0

11 . raw the image of a triangle with vertices (, ), (, ), and (, ). Then perform the following transformation: a 80 rotation about the origin x x x x x 5

12 . Graph and its image after a rotation of 90 counterclockwise about the origin. X T W x X W' T X' X T T' x W T' x W W' X' X T T' X T W' x T' W X' x X' W W'

13 . Which is closest to the value of the midpoint between points and? What is the value of the hpotenuse in the right triangle shown below? foot ladder is placed against the side of a building as shown in figure below. The bottom of the ladder in figure is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, it is moved feet closer to the base of the building as shown in figure. How much higher on the wall does the ladder in figure reach? feet 6 feet 9 feet feet

14 7. What is the diagonal measurement of the TV screen shown in the figure below? 5 inches 5 inches 0 inches 50 inches 8. Max was curious to know the surface area of his calculator so he measured the dimensions. He discovered the top and bottom were inches long and inches wide, the front and back were inches long and inches wide, and the left and right sides were inches b inches. What is the surface area of the calculator? 66 in² 8 in² 6 in² 0 in² 9. Mra borrowed 5 of Jerem's markers. When she returned the markers to Jerem, he told her to place them in the same color order as when he gave them to her. This is the information he gave her regarding the order: The markers are of five different colors. The black marker is after the ellow marker. The green marker is two markers wa from the black marker. The blue and red markers are not adjacent. The ellow marker is second from the left. green, ellow, black, blue, red ellow, black, blue, green, red red, ellow, black, green, blue blue, ellow, black, red, green

15 arefull read the algorithm for finding the value of x in the equation shown below. To find the value of x: x 6 = 5 Get x b itself on one side of the equation. dd 6 to the left side of the equation. dd 6 to the right side of the equation. Write each fraction with a common denominator of 0. dd the numerators. The denominator remains the same. The value of x is Which flow-charts best represents the above algorithm?. 5

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