Pre-Algebra HS Semester 2 Practice Exam B

Transcription

1 1. A right triangle is shown below. 5 What is the value of x? x Figure is not drawn to scale. 4. Which of the following measurements represent a right triangle? I., 4, 5 II. 5, 12, 1 III. 4, 24, 8 IV. 5, 7, 74 I and II I, II and III I, II and IV II and IV 2. A 15-foot ladder is placed against a wall. The bottom of the ladder is 5 feet from the wall. To the nearest foot, how far up the wall does the ladder reach? 10 feet 14 feet 16 feet 20 feet 5. What can be concluded from observing a triangle translated 4 units up and then reflected across the y-axis and rotated 90 counter clockwise? The pre-image doubles with each transformation. The pre-image multiplies by 4 with each transformation. The image is similar to the pre-image. The image is congruent to the preimage.. A cone has a diameter of 8 cm and a height of 4 cm. If the height is cut in half then the volume is: One-half as large One-fourth as large Twice as large The same GO ON

2 6. Find the length of AB. A 8. A 11 angle is rotated 180 degrees clockwise. What is the measure of the angle in the image? B units units 41units 41 units 9. A student dilates the given trapezoid by a scale factor of 2 about the origin. What ordered pair describes the location of point D after the dilation? D A B C 7. What is the distance between 5, 2 and 2, 1? ,0 1.5,1.5 (,) (6,6) GO ON

3 10. If a figure is reflected over the x-axis and then reflected over the y-axis, what one transformation would accomplish the same end resulting figure? 1. The shape below was made by putting a hemisphere on top of a cone. What is the total volume of the shape? Dilation Reflection Translation Rotation 0 cm 48 cm 60 cm 68 cm 11. Which series of transformations will create similar figures? Rotation and Translation Reflection and Rotation Reflection and Dilation Reflection and Translation 14. Triangle EFG has vertices E(5, 2), F(2,0), G(8, 2). Find the coordinates of the image of point E after a reflection across the y-axis. (2,5) 12. The volume of a cylinder is 144 in and the radius is 4 in. What is the height of the cylinder? in. 6 in. 9 in. 12 in. ( 2,5) ( 5,2) ( 5, 2) GO ON

4 15. In the diagram, AB and DE are parallel. AE and BD intersect at point C. 17. ABC is similar to DEF. Which statement(s) is true? (not drawn to scale) If B 70 and E 45, then what is the measure of DCE? In ABC, m A x 20, m B 2x 40, and m C x 24. What is the m C? The perimeter of ABC 29 AB 12 The area of AC 1 ABC = ABC JKL, BC 12, JK 2.5, and AB 10. What is the length of KL? 11.5 units 9 units units.5 units 19. Which of the following is in order from least to greatest? ,, 2, 2 1,, 10, , 2,, , 10,, GO ON

5 20. Why is it not possible to make a right triangle using lengths of 60 inches, 40 inches, and 25 inches? 22. Using the picture below, if m 1 45 and m 4 50, what is the m 1? does not equal equals 25 (60 40) 2 does not equal does not equal Using the picture below, find the value of x. (2x 40) ( x 17) GO ON

6 2. Which pair of variables may show a positive association? x = the age of your computer y = the value of your computer x = the number of pets you own y = your shoe size x = average speed you drove on a road trip y = number of hours it took to reach your destination x = number of text messages you send per month y = cost of your monthly cell phone bill 24. Which scatter plot has a strong positive association between x and y? GO ON

7 25. The graph shows the number of members that have been in Theatre club and the number of years after the club began. 26. The scatter plot shows an individual s age compared to their sitting height. What do the slope and y-intercept mean? # of members Years since beginning Based on the trend shown in the data, predict the year after which the club will have no members. 1 year years 6 years 8 years The slope of 60 tells how much the sitting height increases for each 1 year increase in age. The y-intercept is 50 cm and gives the sitting height when the age is 0 years. The slope of 60 tells how much the sitting height increases for each 1 year increase in age. The y-intercept is 0 cm and gives the sitting height when the age is 0 years. The slope of 2.5 tells how much the sitting height increases for each 1 year increase in age. The y-intercept is 0 cm and gives the sitting height when the age is 0 years. The slope of 2.5 tells how much the sitting height increases for each 1 year increase in age. The y-intercept is 50 cm and gives the sitting height when the age is 0 years GO ON

8 27. Which of the following represent the value of x? 2 x Which rectangles are similar? (not drawn to scale) I. 9 2 II. 81 III. 15 IV. 15 I I and II III and IV IV 2 and 1 and 2 1 and None are similar 28. Between which two whole numbers is the square root of 52? 52 and 5 51 and 52 8 and 9 7 and 8 0. Which fraction is equivalent to 0.875? GO ON

9 1. The table shows the Titanic survival data. Approximate what percentage of males survived. 20% 0% 50% 75% Male Female Total Survived Did not survive Total Two lines intersect to form a 6 angle. The lines are rotated 90 about the origin. What is the measure of the angle after the transformation?. The table below shows the voting results on a bill in the House of Representatives. Yes No Total Democrats 20% 22% 42% Republicans 7% 21% 58% Total 57% 4% 100% Which statement is true? Fewer representatives voted yes than no. Republicans tended to vote yes on the bill. Both Democrats and Republicans tended to favor the bill. There are more Democrats than Republicans in the House of Representatives GO ON

10 4. A total of 92 people attended the school play. Of the 92 that attended, 8 were children and 5 were female. Not all the females were adults; 2 of the females were children. Which two-way frequency table represents this data? Male Female Total Children Adults Total Male Female Total Children Adults Total Male Female Total Children Adults Total Male Female Total Children Adults Total The same figure is transformed using two different transformations. Describe the difference between the two transformations. Transformation 1: ( x, y) ( x 4, y 4) Transformation 2: ( x, y) ( x, y ) The image in Transformation 2 has a perimeter that is times greater than the perimeter of the image in Transformation 1. The image in Transformation 1 has an area that is 2 times greater than the image in Transformation 2. The image in Transformation 2 moves the original image 2 units in each direction. All but one of the vertices in the image of Transformation 1 is different from the original. 6. Which statement supports a scatterplot that shows a negative association? A perfect straight line of points A line that slopes down to the right A random pattern of points The points form a horizontal pattern GO ON

11 7. Amy buys used books at different garage sales. Number of Books Amount Paid (cents) Which graph shows the line of best fit for these data? 8. What is the volume of a hemisphere with a diameter of 12 cm? 288 cm 144 cm 72 cm 6 cm 9. Which of the following numbers are rational? I. II. 7 III. 2 9 IV. 11 III and IV II and III IV only II only 40. Which could be an example of no association? A person's shoe size compared to their weight. Your arm span compared to your height. The amount of calories you consume compared to your weight. A person's salary compared to the number of years they went to school GO ON

12 Free Response 1. A rectangular prism is show in the diagram below. A B C D 6 mm E 6 mm F G 8 mm H a) What is the length of the line segment that extends between vertex A and vertex H? Leave the answer in square root form GO ON

13 Free Response 2. Sketch the graph of A' B' C ' for each of the following transformations below using ABC. Write the ordered pairs for the image. A. Reflect it over the y-axis. B. Dilate by a scale factor of. 5 y A B x A B -5-5 C 5 C A B C A B C C. Rotate it 90 counter clockwise D. Translate it by x, y 2 about the origin. 5 y 5 y A B x A B x C C A B C A B C GO ON

14 Free Response. A group of 100 students from the USA visited one foreign country last week. Fifty students visited Spain. Of those students, half were female. Thirty percent of all students visited Germany. Of the students that visited Germany, one-third was female. a) Complete the two-way table. France Germany Spain Total Female 45 Male Total b) Of the students who visited Spain, what is the relative frequency of males? GO ON

15 Free Response 4. Randy is designing a skateboard ramp as shown in the figure. He wants the sides WX and YZ to be parallel to each other. He also wants the measure of W to be two times the measure of Z. Explain how he can find the correct measures of these two angles. W X Z Y GO ON