8 th Grade Fall Semester Exam REVIEW

Transcription

1 8 th Grade Fall Semester Exam REVIEW 1. The average distance from Earth to the sun is about miles. The average distance from Mars to the sun is about miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth? Write your answer below in standard notation. 2. Which point on the number line below shows the best approximation of 18? A Point A B Point B C Point C D Point D 3. Which of the following expressions would fall between the number 12 and 13? A π 2 B 148 C 4π D 169

2 4. Which expression has a value that is not a rational number? F 25 G 169 H 4π J The temperatures for five days in Whistler, Canada, are shown in the following table. List the temperatures in order from warmest to coldest. Day Temperature ( F) Monday 12 Tuesday 3 Wednesday -6 Thursday 14 Friday Which list shows the numbers in order from greatest to least? F 13, 15, 4 2 2, 310%, G 15, 2 2 5, 310%, 13 4, 3.35 H 310%, 13 4, 3.35, 2 2 5, 15 J 2 2 5, 310%, 13 4, 3.35, 15

3 7. The following Venn diagram correctly shows the relationships between the subsets of real numbers. Label each part of the real number system using the words Integers, Irrational, Natural, Rational, and Whole. 8. Triangle ABC is shown on the coordinate grid below. Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point B (1,5) after the dilation? A (2.5, 12.5) B (2.5, 7.5) C (-1, 2.5) D (-5, -1)

4 9. The dimensions of a rectangle are dilated using a scale factor of 5. What is the 8 relationship between the new area and the original area? F The area of the new rectangle is 8 5 the original area. G The area of the new rectangle is the original area. H The area of the new rectangle is J The area of the new rectangle is the original area. the original area. 10. Trapezoid STUV is similar to trapezoid NOPQ. What is the length of OP? (Show all of your work.) cm

5 11. Rectangle QRST is dilated by a scale factor of 5. What is the perimeter of rectangle 2 Q R S T? Units 12. Triangles ABC and A B C are shown on the coordinate plane. Which algebraic representation shows how to find the coordinates of triangle A B C? A (x, y) ( 3 1 x, 3 1 y) B (x, y) ( 1 3 x, 1 3 y) C ( 1 x, 1 y) (x, y) 3 3 D ( 3 x, 3 y) (x, y) Rectangle ABCD has vertices A( 2, 4), B (5, 4), C(5, 2), and (D 2, 2). Rectangle ABCD is dilated by a scale factor of 5. Which statement is true? 4 F Rectangle ABCD and rectangle A B C D are congruent. G Rectangle ABCD and rectangle A B C D are similar. Rectangle ABCD is the same size as rectangle A B C D. H Rectangle ABCD and rectangle A B C D are similar. Rectangle ABCD is smaller than rectangle A B C D. J Rectangle ABCD and rectangle A B C D are similar. Rectangle ABCD is larger than rectangle A B C D.

6 kilometers Name Date Period 14. A store sells a 5-pound bag of apples for $4.60. Which of the following is not an equivalent price per pound of apples? F A 20-pound bag for $18.40 G A 12-pound bag for $11.04 H A 7-pound bag for $6.44 J A 15-pound bag for $ The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers. John h d The graph shows the distance Sara hiked over the same time period. 30 Sara hours What is John s speed? What is Sara s speed? Who is faster?

7 16. What is the constant rate of change between the two quantities in the table? Time, x Planes taking of at the airport, y F 1 12 G 3 5 H 12 1 J The graph below shows the relationship between the number of cookies a bakery sells and the cost. What does the slope of the graph represent? F The number of cookies you could buy for $2.00 G H J The cost per cookie The cookie per cost The different between buying 2 cookies and 8 cookies

8 18. Determine the slope of the line that passes through the points E(4, -2) and F(6, 2). 19. Josie rides her bike at a constant rate. The graph of her progress is shown. Which statement is true? Bike Trip Miles Time (minutes) A The slope of the line is the same as the unit rate of 4 miles per minute. 1 B The slope of the line is the same as the unit rate of 0.25 miles per minute. C The slope of the line is different from the unit rate of 0.50 miles per minute. D The slope of the line is different from the unit rate of 1 miles per minute. 50

9 20. Red-Box charges $8.94 to rent a DVD for six days. At this rate, which equation can be used to determine the charge, c, for renting a DVD for eight days? A c = 1.99(8) B c = 1.49(8) C c = 0.99(8) D c = 1.29(8) 21. Madeline drove 294 miles on 7 gallons of gasoline. Which statement is not true? F Madeline drove 378 miles on 9 gallon of gasoline. G Madeline drove 252 miles on 6 gallons of gasoline. H Madeline drove 136 miles on 3 gallons of gasoline. J Madeline drove 42 miles on 1 gallons of gasoline. 22. Determine the slope and y-intercept of the line. A m = 1; y-intercept = 2 B m = 1; y-intercept = 6 C m = 1 3 ; y intercept = 2 D m = 1 3 ; y-intercept = 6

10 23. Which equation best represents the line graphed below? A y = -2x + 5 B y = 3x 5 C y = 1 2 x + 3 D y = x The table below shows the relationship between the x- and y-values. x y Which equation best represents this relationship? F y = 8x G y = 1 +7 x H y = 4x + 4 J y = 1 x 8

11 25. The graph of the equation y = 1 x+2 is shown below. 3 Which table of value best represents ordered pairs on the graphed equation? F G H J

12 26. Deonte received a gift card for $15 worth of video rentals from a video store. If the cost of renting a video is $1.25, which table best describes b, the balance remaining on the gift card after he rents n videos? n b F 0 $ $ $ $ $7.50 G n b 0 $ $ $ $ $21.25 H n b 0 $ $ $ $ $8.75 J n b 0 $ $ $ $ $10.00

13 27. Which of the following relations is not a function? F (-3, 6), (-1, 3), (5, 4), (2, 8) G (-7, -7), (-9, -4), (1, 0), (3, 9) H (-8, 9), (-5, 6), (1, 6), (6, 9) J (7, -8), (5, -3), (5, -4), (3, -8) 28. Determine if each mapping diagram is a function or not a function and explain why.

14 29. Which domain would make the list of ordered pairs a function? (, 3), (, 3), (, 4), (, 18), ( 5, 7) A { 6, 9 } B { 9, 5, 0, 3 } C { 7, 4, 3, 0 } D { 5, 4, 3, 1 } 30. Determine if each graph is a function or not a function and explain why. A. (7, -8), (5, -3), (5, -4), (3, -8) Function Not a Function Why? B. F Function Not a Function Why? C. Function Not a Function Why? D. Function Not a Function Why?

15 31. If AB = 125, the length of AB is F between 10 units and 11 units G between 11 units and 12 units H between 13 units and 14 units J between 62.5 units and 65 units 32. Trey s class is making a school flag. The design for the flag is a rectangle that is 20 inches by 15 inches. They are planning to sew a ribbon along both diagonals of the flag. How long should the total piece of ribbon be? A 10 inches B 25 inches. 15 inches C 50 inches D 100 inches 20 inches

16 33. Mrs. Campbell is putting in a new fence around her square backyard. Her backyard is 441 square feet. If her fence is only 3 sided, how many feet of fence are needed to go around her back yard? A 21 ft B 42 ft C 54 ft D 63 ft 34. Which group of three squares will not form a right triangle when joined at their vertices? 10 cm 6 cm 5 cm 5 cm 3 cm

17 35. Betty is outside flying a kite. She is holding the string in her hand 4.5 feet above the ground. The string is 30 feet long, and the kite is directly above a point on the ground that is 24 feet away from Betty. The diagram below shows a sketch of these dimensions. How high in the air is the kite? 30 ft Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 4.5 ft 24 ft 36. The smallest marine fish known is the dwarf goby. The average length of this fish, for males, is just inches. What is this exponent expressed in standard form? F.0239 G.239 H 2.39 J 23.9

18 37. The water levels of five Texas lakes were measured on the same day in The table below shows the number of feet above or below normal level for each lake. List the numbers in the table from least to greatest? 38. Mr. Grelle s rectangular garden has a length of 21 feet and a width of 15 feet. Ms. Beard s garden is dilated by a scale factor of 2 compared to Mr. Grelle s garden. What is 3 the width of Ms. Beard s garden? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

19 39. Use the figure below to find the length of DE. 5 m A 37 D 37 3 m C m E B Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

20 40. In the drawing below, the dashed line segment represents the distance across a pond. What is the actual distance, in yards, across the pond? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.