Indicate the answer choice that best completes the statement or answers the question.
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1 Indicate the answer choice that best completes the statement or answers the question. 1. Find the range of the relation: {(7, 4), (8, 3), ( 9, 7), (6, 1)} a. {-7, 1, 7, 8} b. {1, 3, 6, 8} c. {-7, 1, 3, 4} d. {-9, 6, 7, 8} 2. Name the quadrant in which point ( 2, 6) is located. a. III b. I c. II d. IV Find the product. 3. (b + 6)(b + 3) a. b 2 + 9b + 18 b. 9b + 18 c. 18b + 9 d. b b (6p + 3)(p 2) a. 6p p 6 b. 12p + 3p c. 6p 2 6p d. 6p 2 9p 6 Factor the polynomial. 5. 7b b a. 7(b + 8) b. 8b(b + 7) c. 7b(b + 8) d. (b + 7)(b + 8) 6. x x + 56 a. (x + 7)(x + 8) b. (x + 15)(x + 56) c. x(x + 15) d. 7x(x + 8) 7. David s science quiz has 10 multiple-choice questions. For each question, there are 4 possible answer choices. How many different choices for answering the 10 questions are possible? a. 14 b. 80 c. 40 d. 1,048, Tom goes to a stationery shop to purchase a set of watercolors and a paintbrush. There are 3 different brands of watercolors each available in 2 different size packs. There are 2 brands of paintbrushes each available in 8 different sizes. How many ways Tom can choose a pack of watercolors and a paintbrush? a. 6 b. 15 c. 16 d In how many orders can 7 chapters be arranged in the index of a textbook if the chapter on probability is to be listed in the middle of the series of chapters? a. 720 b c. 46,656 d. 823,543 Page 1
2 10. In how many ways can 6 members of a dance group in different colored costumes be made to stand in a line if the first person is in a yellow costume? a. 24 b. 120 c. 720 d. 3, Randy has 46 rock songs, 22 country songs, and 115 hip hop songs on her mp3 player. If she plays a song at random, what is the probability that it is a rock song or a country song? Round your answer to the nearest tenth percent if necessary. a. 25.1% b. 37.2% c. 12.0% d. 42.6% 12. Suppose that of 50 students, 18 sing in the school choir, 29 play in the school band, and 14 both sing in the choir and play in the band. What is the probability that a student selected at random sings in the school choir or plays in the school band? a. b. c. d. 13. Paula chooses a number from 1 to 10 and flips a coin. What is the probability of choosing a number greater than 4 and the coin landing on tails? a. b. c. d. 14. Mrs. Johnson has 11 blue pens, 14 black pens, and 4 red pens in a desk drawer. If she selects two pens at random without replacing them, what is the probability that she selects a red pen and then a black pen? a. b. c. d. Page 2
3 Find the values of x and y. 15. The pair of rectangles are similar. a. b. c. d. 16. The pair of right triangles are similar. a. b. c. d. Page 3
4 17. Find the value of c. Round to the nearest tenth. a b c d Find the missing measure of the right triangle. Round to the nearest tenth. a b c d Find the median of the data set. Round to the nearest tenth if necessary. 33, 15, 28, 19, 27, 11, 7, 23 a b. 19 c. 20 d. 21 Find the product Tori s patio is rectangular. The width is 4 less than a number and the length is 6 more than a number. 24. Explain how you know if a relation is a function. Page 4
5 25. Two cards are drawn in succession from a standard deck of cards without replacement. Find each of the following probabilities. a. P(both cards are multiples of 5) b. P(both cards are spades) c. P(both are black aces) 26. The Venn diagram shows a visual model of P(A or B) for two events that are not mutually exclusive. Use the Venn diagram to explain why P(A and B) must be subtracted when finding P(A or B). How would the Venn diagram change if A and B were mutually exclusive events? Explain. 27. An equilateral triangle with an area of 7 square inches is similar to an equilateral triangle with an area of 11 square inches. Do you agree? Explain. 28. The quiz scores in Miss Newman's math class are shown below. Find the mean, median, and mode of the data. 9, 5, 8, 7, 9, 10, 8, 6, 5, 8, 10, 8 The lengths of three sides of a triangle are given. Determine whether the triangle is a right triangle. Write yes or no cm, 9 cm, 11 cm 30. A movie stuntman designed a car jump for an action movie. The take-off ramp and the landing ramp were in the shape of similar right triangles. The take-off ramp was 12 feet high and 30 feet long. The landing ramp was 20 feet long. How high was the landing ramp? The pair of polygons is similar. Find the values of x and y. 31. Page 5
6 32. Page 6
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