7) If 2x 9 < 11, which statement is correct?

Transcription

1 Math 2 EOCT Practice Test #1 1) 5) The graph shows the relationship between time and distance as Pam rides her bike. During which time period was the rate of change the greatest? 2) 6) The equation y = 2x is shown. Use it to solve the inequality 2x > 0. 3) 4) Solve the absolute value inequality and choose the solution from the number lines shown. x + 1 > 3 7) If 2x 9 < 11, which statement is correct?

2 8) You are going to model the growth of a population of bacteria which appears to be doubling every hour. Which graph is the BEST choice for doing this? 12) 9) Which exponential function describes the given sequence? 13) Scientists have determined that a certain bacteria, with an initial population of 200, triples every hour. Which table effectively models this situation? 10) 11) 14) If you subtracted 3 from the exponent in an exponential function, what would happen to the graph?

3 15) The graph of the function y = x 2 is shown. How will the graph change if the equation is changed to y = 2x 2? 18) How many x-intercepts does the graph of y = -(x + 1) 2-2 have? 19) Identify the roots of the quadratic function. 16) Write the quadratic function f(x) = x 2 + 8x + 3 in vertex form. 17) Find the sum of the first 2,000 positive integers (the numbers 1 through 2000). 20) Find all solutions to 3x 2 + 2x + 1 = 0

4 21) It takes 3 straws to build the top triangle, 5 straws to build the 2 adjoining triangles, and 7 straws to build the 3 adjoining triangles. If the last row that you build has 25 adjoining triangles, how many straws did it take to construct the rows? 24) If 3x 2 x + 9 = 0, what are the values of x? 25) Based on the graph of f(x) shown here, what is f -1 (8)? 22) 26) What is f(x) when f -1 (x) = 3x 2-6? 23) Using the discriminant, what values of c will make the quadratic y = 2x 2-3x + c have one real solution? 27) If the table is that of f(x), find a point that lies on the graph of f -1 (x).

5 28) Given that f(x) =. What is the domain of f -1 (x)? 31) Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))? 29) Which graph shows the inverse of y = 32) Find the length of side AC. 30) Determine the range of the function. y = 2x ) Find the altitude of an equilateral triangle, if each side of the triangle has a length of 14 meters.

6 34) In the diagram, assume that y = 7. Find x and z. 37) The angle of depression from the top of a lighthouse to a boat in the water is 30. If the lighthouse is 89 feet tall how far is the boat from the lighthouse to the nearest foot? 35) Find the length of BC. 38) A building is 190 feet tall and has a shadow that is also 190 feet. Determine the angle of elevation from the tip of the shadow to the top of the building. 36) Find the length of FH. 39) Lenny is planning to cut down a pine tree. He has parked his truck 90 feet away from the base of the tree and wants to make sure that the tree will not hit his truck when it falls. The angle of elevation from the base of the truck to the top of the tree is 50. How tall is the tree to the nearest foot? Should Lenny move his truck?

7 40) For the right triangle shown, what is the sine of angle C? 43) Solve for x. 44) Find the measure of C to the nearest degree. 41) Which of these is equal to cos 47? 42) Which property can be justified using the ratios in triangle XYZ? 45) A round cookie cake, divided into 8 equal pieces, has a diameter of 16 inches. Marty eats two pieces of cake. What is the combined area (to the nearest tenth) of the two pieces that Marty eats? 46) The figure in the diagram is composed of a semi-circle and an equilateral triangle. Find the total area of the figure.

8 47) Find the area of the shaded sector. Leave your answer in terms of π. 50) Find x. 48) Find the area of the figure shown in the diagram to the nearest hundredth. 51) Determine the degree measure of arc HJ. 49) Determine the length of arc JL. 52) Find the area of the figure shown in the diagram to the nearest hundredth

9 53) Find m DOC. 57) To the nearest tenth of a square inch, how much surface area is added to a spherical balloon whose radius grows from 10 to 20 inches long? 54) Chords AB and CD intersect at point E, AE = 10, EB = 4, and CE = 8. Therefore, ED = 58) A sphere has a radius of 6 inches and a surface area of 144π in 2. The radius of the sphere will be doubled. How will this affect the surface area of the sphere? 55) If segment AC is a diameter of the circle what can you conclude about triangle ABC? 59) A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball? 56) In the diagram, segments AD and AB are tangent to circle C. Solve for x.

10 60) The diameter of the earth is approximately 7900 miles. The diameter of Jupiter is approximately 88,800 miles. Since the diameter of Jupiter is more than 11 times that of the earth, which comes closest to the volume of Jupiter? 63) Steel Factory Workers Ages Mean: 42 Median: 38 Range: 52 Mean Deviation: The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean deviation closest to that of the population? 61) The surface area of a beach ball is 144π in 2. Find the volume of air the beach ball will hold when it is fully inflated. 62) Find the population standard deviation of the set of data, to the nearest hundredth: {10, 20, 30, 40, 50} 64) Lillian is trying to determine how people feel about the new act Congress is trying to put through. What is the population of her study? A) All American in her town. B) All citizen of the United States. C) 400 American citizens that have been randomly selected. D) 300 Americans that have been randomly selected from her town.

11 65) Forty-five people were asked about how many miles they walked in one week. The results are shown in the graph. What is the mean number of miles walked by the girls? 67) The graph shows Jessica's weight as it compares to her age. Using the line of best fit what is the best approximation for Jessica's weight at age 10? 66) Jeffrey surveys the 13 girls and 13 boys in his class to find out how many pairs of shoes they have in their closets. Which statement is true? A) The value of Q1 for the girls is greater than the value of Q1 for the boys. 68) The graph shows a scatterplot, along with the best fit line. The points A, B, C, and D are not part of the set. Adding which point will most DECREASE the slope of the line? B) The value of Q3 for the boys is greater than the value of Q3 for the girls. C) The mean number of shoes for the boys is greater than the mean number of shoes for the girls. D) The median number of shoes for the boys is greater than the median number of shoes for the girls.

12 69) Which scatterplot has the strongest positive correlation? 72) Giuseppe is studying shark attacks around the world and finds that most such attacks occur during the day. He concludes that sharks usually do not eat at night. This conclusion is A) not justified, since sharks can't tell day from night. B) justified, since he studied attacks from all around the world. 70) Which equation is the BEST fit for the data in the graph? C) not justified, since people usually swim in the ocean during the day. D) justified, assuming that the sharks finish eating their kills before sunset. 71) The scatterplot for a set of data points is shown, along with the line of best fit. Choose the BEST estimate for r, the correlation coefficient.