2nd 9 Weeks Test 2. Rankin County Assessment CCSS Math 8th Grade ID: Sample Item Not Available

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1 Rankin County Assessment CCSS Math 8th Grade ID: nd 9 Weeks Test 2 Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer sheet. Sample Question Sample Answer Sheet Sample Item Not Available 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D

2 1 Look at this expression. Which expression is equivalent? A C B D 2 Which expression is equivalent to? A B C D 3 Which expression is equivalent to? A B C D All content is the private property of the copyright holders. Page 1

3 4 Look at this expression. Which expression is equivalent? A B C D 5 Which expressions are equivalent to? Select all that apply A 3 12 B 3 4 C 3 2 D 1 E 1 F Look at the equation below. Write the solution to this equation using a cube root symbol (not a decimal). All content is the private property of the copyright holders. Page 2

4 7 The relationship between V, the volume of a cube, and E, the length of each edge of that cube, is shown below. What is the length, in inches, of each edge of a cube that has a volume of 64 cubic inches? 8 If, what is the value of x? A 3 B 9 C 18 D 81 9 If, what is the value of x? All content is the private property of the copyright holders. Page 3

5 10 The volume of a cube is 10 cubic units. Which equation can be used to find the side length, s, of the cube? A B C D 11 Solve for x. A B C D 12 Which equation has both 4 and 4 as possible values of y? A y 2 = 8 B y 3 = 8 C y 2 = 16 D y 3 = 64 All content is the private property of the copyright holders. Page 4

6 For Questions 13 15: NO CALCULATOR: You may not use a calculator on the items in this section of the test. 13 Each side length of a square is an irrational number. Which could be the area, in square units, of the square? A 1 B 2 C 4 D 9 14 Earth is approximately miles from the Sun. Neptune is approximately miles from the Sun. Approximately how many times farther from the Sun is Neptune than Earth? A 3 B 30 C 300 D Ian has a jar full of pennies. One penny weighs about pounds. The pennies in Ian s jar weigh a total of 10 pounds. About how many pennies are in Ian s jar? A 200 B 500 C 2000 D 5000 All content is the private property of the copyright holders. Page 5

7 The following questions are not about a passage. 16 The approximate densities of three astronomical objects are listed in the table. a. Using the values from the table, write each density in scientific notation. b. How many times denser is a Neutron Star than the Sun? Write your answer in scientific notation. Show your work or explain how you know. c. Write the answer you found in part b in standard notation. 17 Which number is 5 times greater than? A C B D All content is the private property of the copyright holders. Page 6

8 18 The mean distances from each of the planets to the Sun are shown in the table. Which statement best supports the data in the table? A Saturn is about 10 times farther from the Sun as Earth. B Mercury is about 2 times farther from the Sun as Venus. C Neptune is about 2 times farther from the Sun as Mars. D Neptune is about 3 times farther from the Sun as Earth. 19 The body of a 154 pound person contains approximately milligrams of gold and milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body? Enter your answer in the space provided. All content is the private property of the copyright holders. Page 7

9 20 A scientist measured the mass of a grain of sand to be gram. Write as a number in standard form. 21 A satellite travels at a velocity of meters per hour. How many kilometers will the satellite travel in 24 hours? Write your answer in scientific notation. Show your work or explain how you know. 22 A student collected 50 ants. The average mass of one ant was grams. What was the total mass of the 50 ants? A 0.36 g B 3.6 g C 36 g D 360 g All content is the private property of the copyright holders. Page 8

10 23 What is the product of and 4,100,000? A C B D 24 In 2012, Los Angeles had a population of about people, and New York City had a population of about people. What is the approximate combined population of these two cities? A C B D 25 What is the sum of and 3000? A B C D All content is the private property of the copyright holders. Page 9

11 26 Which expression is equivalent to the quotient of and 55? A C B D 27 Which expression is equivalent to? A C B D 28 The erosion rate along a section of the coast is approximately 3 feet per year. Which of these best approximates this rate of erosion? A inches per day B inches per month C feet per day D feet per month 29 Which fraction has a decimal expansion that is non repeating? A B C D All content is the private property of the copyright holders. Page 10

12 30 a. Rewrite as a decimal. b. Is a rational number? Why or why not? 31 Which fraction is equivalent to the repeating decimal? A B C D All content is the private property of the copyright holders. Page 11

13 32 Which fraction is equivalent to a non repeating decimal? A B C D 33 Which expression is equivalent to? A B C D All content is the private property of the copyright holders. Page 12

14 34 A math teacher writes a list of real numbers on the board and asks students to classify each number as either rational or irrational. One student s work is shown. Which real number is incorrectly classified? Show your work or explain how you know Which decimal is the equivalent of? 11 Select your answer. A B C 0.54 D 0.54 All content is the private property of the copyright holders. Page 13

15 For Question 36: CALCULATOR ACTIVE: You may use a calculator on the items in this section. 36 Which of the following best describes an irrational number? A a number that is a square root B a number that is less than zero C a number that cannot be approximated by a decimal D a number that cannot be written as the ratio of two integers The following questions are not about a passage. 37 Look at the three numbers below. List the three numbers in order from least to greatest. 38 Write as a decimal rounded to the nearest tenth. All content is the private property of the copyright holders. Page 14

16 39 Between which two consecutive integers is the value of? A 8 and 9 B 9 and 10 C 40 and 41 D 41 and The number is an irrational number that, rounded to the nearest hundredth, equals To the nearest tenth, is about how much more than? Show your work or explain your reasoning. 41 Which point on this number line best represents the location of 7? A point A B point B C point C D point D All content is the private property of the copyright holders. Page 15

17 42 Between which two consecutive integers is 14? 3 A 2 and 3 C 4 and 5 B 3 and 4 D 5 and 6 43 Between which two consecutive integers does lie on a number line? Show your work or explain how you know. 44 Look at the three numbers below. Write the numbers in order from least to greatest. Show your work or explain how you know. All content is the private property of the copyright holders. Page 16

18 45 Which statement best describes the value of 8? A The value of 8 is between 2 and 2.5. B The value of 8 is between 2.5 and 3. C The value of 8 is between 3 and 3.5. D The value of 8 is between 3.5 and Look at the numbers. Put the numbers in order from least to greatest. Show your work or explain how you know. 47 Find the approximate value of to the nearest tenth. Show your work or explain your answer. All content is the private property of the copyright holders. Page 17

19 48 The shaded triangle in the figure is formed from the sides of three squares. The lengths of each square s sides are given in the figure. a. What is the area, in square units, of each square? b. What is the relationship between the area of S and the sum of the areas of S and S? All content is the private property of the copyright holders. Page 18

20 49 The diagram shows squares with side lengths p, q, and r. Write an expression in terms of p and q that is equivalent to r 2. Show your work or explain your answer. All content is the private property of the copyright holders. Page 19

21 50 The diagram shows 3 squares whose sides form a right triangle. Which statements are true about the diagram? Select all that apply. A The area of the triangle ABC is half the area of square Y. B The length of segment AB squared equals the area of square X. C The area of square X equals the sum of the areas of squares Y and Z. D The length of segment AB equals the sum of the lengths of segments BC and AC. E The length of segment AB squared equals the sum of the lengths of segments BC and AC. F The area of square X squared equals the sum of the areas of square Y and square Z squared. All content is the private property of the copyright holders. Page 20

22 51 This diagram shows an isosceles triangle bisected by its altitude to form two congruent right triangles. What is the length of each longer side of the isosceles triangle, rounded to the nearest whole number? A 32 cm B 34 cm C 36 cm D 40 cm All content is the private property of the copyright holders. Page 21

23 52 This figure shows three squares with sides that form a right triangle. The areas of the two smaller squares are shown. What is the perimeter of the largest square? A 24 cm B 40 cm C 56 cm D 100 cm All content is the private property of the copyright holders. Page 22

24 53 The diagram shown represents the side view of a ramp. What is the length of the base of the ramp, rounded to the nearest tenth of a foot? A 6.0 B 7.7 C 8.2 D A rectangle has a width of 9 feet and a length of 12 feet. What is the length, in feet, of the diagonal of the rectangle? A 15 B 14 C 13 D 12 All content is the private property of the copyright holders. Page 23

25 55 A leg of a right triangle is 9 centimeters long. The hypotenuse is 41 centimeters long. What is the length, in centimeters, of the other leg of the triangle? A 32 B 40 C 42 D The height and slant height of a right circular cone are given in this diagram. What is the radius, in inches, of the base of the cone? A 3 B 4 C 5 D 6 All content is the private property of the copyright holders. Page 24

26 57 A ramp is 14 feet long with a height of 3 feet above the floor. What is the length of the base of the ramp to the nearest tenth of a foot? Show your work or explain your answer. 58 Mark leans a ladder against a building. The top of the ladder is 15 feet above the ground. The base of the ladder 6 feet from the base of the building. What is the height of the ladder to the nearest tenth of a foot? Show your work or explain your answer. All content is the private property of the copyright holders. Page 25

27 59 This diagram shows a 15 meter wire attached to the top of a telephone pole. The wire is attached to the ground at a point 6 meters from the base of the pole. What is the height of the pole? A 189 meters B 219 meters C 231 meters D 261 meters All content is the private property of the copyright holders. Page 26

28 60 Triangle RST is shown. What is the perimeter, to the nearest whole unit, of? Show your work or explain how you know. 61 What is the distance between the points at and on the coordinate plane, rounded to the nearest hundredth of a unit? A 0.80 B 1.25 C 5.00 D 6.40 All content is the private property of the copyright holders. Page 27

29 62 Points F and G are graphed on this coordinate plane. What is the distance, in units, between points F and G? All content is the private property of the copyright holders. Page 28

30 63 Line segment KL is shown on this coordinate plane. What is the length, to the nearest 0.1 unit, of line segment KL? A 3.0 B 6.4 C 9.0 D 20.5 All content is the private property of the copyright holders. Page 29

31 64 Points P and Q are graphed on this coordinate plane. What is the distance, to the nearest unit, between P and Q? A 8 B 11 C 14 D 19 All content is the private property of the copyright holders. Page 30

32 65 Triangle ABC is graphed on the xy plane. a. What is the length of segment AC? Show your work or explain your answer. b. What is the area of the triangle to the nearest tenth? Show your work or explain your answer. All content is the private property of the copyright holders. Page 31