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Mj 2A

2 nd semester Exam review. Mj 2A. 1. Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?. P(heads) =. P(even number) =. P(even number, heads) =.

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Mj 2A

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  1. 2nd semester Exam review Mj 2A

  2. 1. Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads? P(heads) = P(even number) = P(even number, heads) =

  3. 2. There are about 300 bears living in a protected area. A scientist wants to tag and observe a sample of bears to determine whether the population is thriving in the area. Which is the best sampling method?

  4. 3. Find . • 4. Find .

  5. 5. Find . Round to the nearest whole number. • 6. Find . Round to the nearest whole number.

  6. 13 ft x ft 5 ft 7. Melissa’s cat was stuck in a tree. The fire department sent a truck with a 13-foot ladder to rescue Pepper. The firefighter set the ladder 5 ft from the base of the tree and leaned the ladder against the tree where Pepper was sitting. How high was Pepper in the tree?

  7. 8. DEF is a right triangle. What is the value of x ? E 2x° 3x° D F

  8. 9. Which would be the equation of a non-linear graph if the value of a is greater than 5? Since a is greater than 5 substitute a with a vaule greater than 5, say 6. • A. • linear • B. • cubic • C. • linear • D. • linear

  9. 10. Deena has taken 3 tests in math, and her average is 87%. She scores 95% on her next test. What is her new average?

  10. 11. The table shows the number of books read by 12 friends this year. IF one more friend is added to the list, & she read 42 books, which of the following would be true? Original: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37 Mode = 10 New: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37, 42 Mode = 10

  11. Original: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37 Mean = 16.4 197 ÷ 12 = 16.4 New: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37, 42 Mean = 18.4 239 ÷ 13 = 18.4 Original: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37 Median = 12 New: 4, 5, 6, 7, 10, 10, 14, 20, 25, 26, 33, 37, 42 Median = 14

  12. 12. The class gathered data on total playing time of various songs. The data they collected has a mean of 3.87 minutes, a median of 3.84, and has 12 values. The class identified one data value of 4.95 minutes as an outlier and decided to exclude it. What is the mean of the data to the nearest hundredth, after the data point is removed? Total of the 12 values: 3.87 × 12 = 46.44 Total of the without the outlier: 46.44 – 4.95 = 41.49 Mean without the outlier: 41.49 ÷ 11 = 3.77

  13. 13. Mike has an average of 89 on the five tests he has taken so far this semester. What grade must Mike earn on the next test to raise his average grade exactly to 90? Total of first five tests: 89 × 5 = 445 Total needed to average 90 on six tests: 90 × 6 = 540 Grade needed on the next test: 540 – 445 = 95

  14. 14. Which graph shows the solution set for the inequality • x – 8 ≥ -5?

  15. 15. At a Rays game a bag of peanuts costs $4.00. You have $16 to spend. Which inequality would show the number of bags of peanuts that you could buy? • 16. What would be the solution to the inequality -5k≤ 20? Dividing by a negative number reverses the direction of the inequality!

  16. 17. What would be the slope and the -intercept for the equation y = 2x - 7? y = mx + b y-intercept slope y = 2x - 7

  17. 18. What is the slope and y-intercept of the graph shown below?

  18. 19. Which is an example of a linear function? not linear not linear not linear linear

  19. 20. Which would be the equation of a non-linear graph if the value of a is less than 3? linear not linear linear linear

  20. 21. What is the area of the rectangle shown? 5y3 8y2

  21. 22. What would be the value of w -4if w = 3 ?

  22. 23. What would be the simplified fraction ?

  23. 24. Which is 3-4 written as a fraction? 25. A red blood cell is about 7.5  10-4cm long. What would be the length of a red blood cell in standard form? 0 0 0 7.5  10-4 = 0.00075 0.0075 -0.00075 75000 0.00075

  24. 26. Which shows 0.00000054 in scientific notation? 0.00000054 = 5.4  10-7 5.4  107 5.4  106 5.4  10-6 5.4  10-7

  25. 27. If A = 5.39  105, B = 4.041  105, C = 6.2 105, and • D = 3.1 105, which is largest? A B C D • 28. Simplify. x3 ∙ x ∙ x4 1 x3 ∙ x ∙ x4 = x 3+ 1 + 4 = x8 x12 x8 x x4

  26. = x 5 - 2 = x 3 • 29. Simplify. x7 x6 x5 x3 • 30. Simplify. 3x2y∙ x3 y2 1 3x2y∙ x3 y2 = 3x 2+ 3 y 1+ 2 = 3x5y3 3x5y3 3x6y2 3xy x6y2

  27. 31. Put in order from least to greatest. 3 4 2 1

  28. 32. Approximate the product of ? 95 240 320 600 • 33. Find . -7 -5 7 5

  29. 34. Find . 12 6 3 0 • 35.Tess has $10 to spend on a calculator and notebook for her math class. The notebook only costs $3.99. This situation can be represented by the inequality , where crepresents the cost of a calculator. What is the most that Tess can spend on the calculator? 3.99 + c≤ 10 3.99 + c≤ 10 3.99 - 3.99 + c≤ 10 – 3.99 c≤ 6.01 $3.99 $6.01 $6.99 $10

  30. 9 cm 10 cm 8 cm 36. Terry made a castle turret for his sister out of scrap cardboard. He glued together a cylinder and a cone with equal diameters. What is the volume of the combined figure?

  31. 9 cm 10 cm 8 cm 8038.4 cm3 2500 cm3 720 cm3 2612.48 cm3

  32. 37. Two similar cylinders have volumes of 3 cubic yards and 375 cubic yards. How many times larger is the second cylinder?

  33. 37 A 38. What is the measure of A ? Angle A is a vertical angle with the 37 angle. Vertical angles have equal measures.

  34. 1051 2 4 3 60 39. Find the measure of 4. m‖n m  3 and 4 are vertical and are equal in measure. n

  35. 32 2 1 40. In the figure below, lines l, m, and n intersect to form several angles as shown. What is the measure of 2? Angle 1 is vertical to the 32 angle. Angles 1 and 2 are complementary. m l n

  36. 1 2 41. If the measure of  1 = 117, what is the measure of  2 ? m n

  37. 42. The scatter plot below shows the average life expectancy at birth for people in North America. Based on the line of best fit shown on the graph, which is the best conjecture for the life expectancy of a North American person in 2010?

  38. 43. A rectangular prism measures 3 inches by 8 inches by x inches. If the surface area is 136 in2 , what is the height of the prism?

  39. 44. A rectangular prism measures 5 meters by 6 meters by x meters. If the volume is 75 m3, what is the height of the prism?

  40. 45. On the coordinate plane below, PQR shows the path that Kyra rode her bicycle to see her friends. What is the total distance, in miles, Kyra rode from point P to Q to R and back to point P? 6 8 Total distance = 6 + 8 + 10 = 24

  41. 46. The diagram shows the route that the Frank family took on vacation. They drove from Ocala to Lake City to Jacksonville, and then home to Ocala. About how far was the drive from Jacksonville to Ocala?

  42. 47. Which of the following transformations does NOT produce an octagon congruent to the one shown? 90 clockwise rotation What dilation would produce a congruent octagon? reflection across vertical line reflection across horizontal line dilation

  43. 48. Which graph below represents the function y = -3x - 1 ? slope = -3 y-intercept = -1

  44. 49. Jack wants to run 20 miles. He ran for 2 hours before lunch. It takes him one hour to run 6 miles. How many more kilometers must he run to meet his goal of 20 miles? Jack ran 12 miles before lunch. 1 mi ≈ 1.61 km He needs to run 8 more miles. 8 mi ≈ 8  1.61 8 miles = _______ kilometers 8 mi ≈ 12.88

  45. 50. The graph shows how far Tom walks each day. Which statement is valid? The data is discrete with a range of 0 ≤ y ≤ 15. The data is discrete with a range of 0 ≤ y ≤ 30. The data is continuous with a range of 0 ≤ y ≤ 15. The data is continuous with a range of 0 ≤ y ≤ 30.

  46. 51. A spinner was spun 18 times, and it landed on a vowel 12 times. How does the experimental probability compare to the theoretical probability? Experimental Probability: Theoretical Probability: experimental probability  < theoretical probability  experimental probability  < theoretical probability  experimental probability  > theoretical probability  experimental probability  > theoretical probability 

  47. 52. The rectangular prism has a volume of 48 ft3. Which dimensions of that prism have the smallest surface area? 3  4  4 2  3  8 2  2  12 1  3  16

  48. 53. Find the volume of the tunnel.

  49. 54. A box has a volume of 2 cubic feet. What is the volume in cubic inches? 12 inches 1 foot 1 foot 12 inches 12 inches 1 foot

  50. 55. How many kilograms of fertilizer are needed for 5 oak trees if one tree needs 500 grams?

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