ALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 2 27? 1. (7.2) What is the value of (A) 1 9 (B) 1 3 (C) 9 (D) 3
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1 SEMESTER EXAMS SEMESTER 1. (7.) What is the value of 1 3 7? (A) 1 9 (B) 1 3 (C) 9 (D) 3. (7.3) The graph shows an eponential function. What is the equation of the function? (A) y 3 (B) y 3 (C) 3 y Page 1 of 61 Revised 1/01/014
2 SEMESTER EXAMS SEMESTER 3. (7.4) If f, where is the y-intercept of g f 4 (A) 0,4 (B) 0,5 (C) 0,1 (D) 1,0 For questions 4-6, use the function f. 4. (7.4) The y-intercept of y f 5. (7.4) The slope of y f is (0, 1). is equal for all values of. 6. (7.4) There are no values of for which f 0.? Page of 61 Revised 1/01/014
3 SEMESTER EXAMS SEMESTER 7.(7.4) Use the graph. f () What is the equation of the function? (A) 1 f (B) f (C) f 1 (D) f 1 1 For questions 8-9, use this scenario. The tuition at a private college can be modeled by the equation T y the number of years since (7.4) The tuition in the year 000 was $30, (7.4) The growth rate of tuition is 107%. $30, y, where y is Page 3 of 61 Revised 1/01/014
4 SEMESTER EXAMS SEMESTER 10. (7.4) The graph shows two functions, f and g. f() g() Which describes g() in terms of f()? (A) g f (B) g f 3 (C) g f Page 4 of 61 Revised 1/01/014
5 Amount of element (grams) ALGEBRA I SEMESTER EXAMS SEMESTER 11. (7.5) The graph models the amount of a radioactive element present over the course of a 10-minute eperiment. (0, 0.0) (10,.0) time (minutes) What is the average rate of change of the amount of the element over the 10-minute eperiment? (A) 0. g/min (B) 1.8 g/min (C).0 g/min (D) 5.0 g/min For questions 1-14, determine which epressions are equal to t. 1. (7.5)The growth rate is 6%? 13. (7.6) 1.06 t = t Page 5 of 61 Revised 1/01/014
6 SEMESTER EXAMS SEMESTER 14. (7.6) t = t 15. (7.6) A student noticed that the value of f() is 10% less than f(1). He also noticed that f(3) is 10% less than f(). Which is true? (A) f is a linear function with slope (B) f is a linear function with slope (C) f is an eponential function with base (D) f is an eponential function with base (7.6) A population begins with 1,00 individuals and grows at a rate of 10% per year. Which function describes the population? (A) P ( ) (B) P ( ) (C) P ( ) (7.8) Solve each equation for the variable indicated. (a) 3 48, for. (b) k 3 4 n k, for n. 1 t 6 (c) 1 r 1 r, for t Page 6 of 61 Revised 1/01/014
7 SEMESTER EXAMS SEMESTER 18. (7.8)Mark and Sofia are looking at this pattern of dots. Mark says the number of dots in figure number n is equal to n 1. Sofia says the number of dots in figure number n is equal to nn 1 n 1 (a) Using the dot patterns, eplain why each student is correct.. (b) Show algebraically that Mark s and Sofia s epressions are equivalent. 19. (7.11) Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The process continues. Which describes how many pieces she has at each step? p 1 1; p n p n 1, for n (A) 1 p 1 1; p n p n 1, for n (B) p 1 1; p n p n 1 1, for n (C) 0. (7.11) Which recursive sequence is equivalent to tn t 1 4; t n 1 t n, for n 1 3 (A) 8 t 1 ; t n 1 t n, for n (B) tn t 1 4; t n 1, for n 1 3 (C) tn 8 t 1 ; t n, for n (D) n 4 3? Page 7 of 61 Revised 1/01/014
8 SEMESTER EXAMS SEMESTER For questions 1-, classify each number as rational or irrational. 1. (8.1) 7 3 (A) rational (B) irrational. (8.1) (A) rational (B) irrational 3. (8.1) Answer each part. (a) What is an irrational number? (b) Eplain why 3 is an irrational number. 4. (8.)The irrational numbers are closed under multiplication. 5. (8.)In each part, provide an eample of the statement. (a) The sum of two rational numbers is rational. (b) The product of a rational number and an irrational number is irrational. (c) The product of two irrational numbers can be rational. 6. (8.)Answer each part. (a) Write 4 as the product of a rational and an irrational number. (b) Give an eample where the product of two irrational numbers is a rational number. (c) Eplain why the sum of a rational number and an irrational number must be irrational Page 8 of 61 Revised 1/01/014
9 SEMESTER EXAMS SEMESTER 7. (8.3)Which is equivalent to 3 18 y where > 0 and y > 0? (A) 9y y (B) 3y y (C) 3 y y (D) 9 y y 8. (8.3)Which is equivalent to ? (A) 3 10 (B) 3 50 (C) (D) (8.3)Which is equivalent to 6 8? (A) 4 3 (B) 8 3 (C) 1 (D) Page 9 of 61 Revised 1/01/014
10 SEMESTER EXAMS SEMESTER 30. (8.3)Which is equivalent to 7 36? (A) 3 4 (B) 3 4 (C) 3 (D) (8.3)Which is equivalent to 4? (A) 8 3 (B) 6 (C) 6 (D) 1 3. (8.3)Which is equivalent to 3 5 y y? (A) (B) (C) (D) 3 y 4 6 y y 4 y y y 33. (8.3)Which is equivalent to 10 3? (A) 10 (B) 4 10 (C) 10 (D) Page 10 of 61 Revised 1/01/014
11 SEMESTER EXAMS SEMESTER 34. (8.3)A class of students was told to compute the area of the rectangle below The class came up with three different values for the area: How many of those values correctly represent the area of the rectangle? (A) 0 (B) 1 (C) (D) (8.4) Which is equivalent to 3 y? (A) 3 y (B) 3 y (C) (D) 3 y 3 y 36. (8.4) What is the value of n when 16 n? (A) 1 8 (B) 1 4 (C) Page 11 of 61 Revised 1/01/014
12 SEMESTER EXAMS SEMESTER 37. (8.5) If p 5 and q 16, which of these CANNOT equal p + q? (A) 1 (B) 9 (C) 41 For questions 38-39, use the equation p. 38. (8.6) p 39. (8.6) p 40. (8.6)Solve the equation (A) u h P (B) u h P (C) u h P u P h for u, where all variables are positive real numbers. (D) h u P Page 1 of 61 Revised 1/01/014
13 SEMESTER EXAMS SEMESTER 41. (8.6) Solve the equation for : a h k p (A) (B) p h k a p h k a (C) (D) h h p k a p k a 4. (8.6)The equation (A) a < 0 (B) a = 0 (C) a > 0 a has no real solutions. What must be true? 43. (8.6)What is the solution set of the equation 4t 3 1 8? (A) 1 1 1, (B),5 4 4 (C) 3 3, 3 3 (D) 3 5, (8.6)Solve each quadratic equation for. (a) 8 0 (b) 4 0 (c) Page 13 of 61 Revised 1/01/014
14 SEMESTER EXAMS SEMESTER 45. (8.6)The area of the triangle below is 4 square units. What is the height of the triangle? (A) 6 units (B) 1 units (C) (D) 1 units 4 units 46. (9.1) Which epression is equivalent to ? (A) 3 (B) 11 (C) (D) (9.) What epression must the center cell of the table contain so that the sums of each row, each column, and each diagonal are equivalent? (A) 5 (B) 4 10 (C) Page 14 of 61 Revised 1/01/014
15 SEMESTER EXAMS SEMESTER 48. (9.) Subtract: 9 y 5 y 6 3 y y 4 (A) 6y 4y (B) 6y 4y 10 (C) 6y 6y (D) 6y 6y 10 For questions 49-51, answer each with respect to the system of polynomials. 49. (9.)The system of polynomials is closed under subtraction. 50. (9.3)The system of polynomials is closed under division. 51. (9.3)The system of polynomials is closed under multiplication. 5. (9.3) Answer each part. a) Define polynomial and give two eamples. b) Give an eample where the sum of two binomials is a trinomial. c) When two polynomials are multiplied, the result must be a polynomial. Eplain why this is true Page 15 of 61 Revised 1/01/014
16 SEMESTER EXAMS SEMESTER 53. (9.3) Under what operations is the system of polynomials NOT closed? (A) addition (B) subtraction (C) multiplication (D) division 54. (9.3)Which epression is equivalent to c b yc yb? (A) b y c (B) c y b (C) yb c 55. (9.3) Let y 3 and 6 y. What is the value of y? (A) 9 (B) 3 (C) 9 (D) (9.3) Which is equivalent to 3 y y 3 (A) 3 y 6y 3 (B) 3 y y 3 (C) 3 y 6 y (D) y 57. (9.3) Epand the epression 3 7. (A) (B) (C) (D) ? Page 16 of 61 Revised 1/01/014
17 SEMESTER EXAMS SEMESTER 58. (9.3) Given a b c What are the values of a, b, and c? 59. (9.3)Given f 3, g, and (a) f g (b) f h (c) f g (9.4)Which is equivalent to 4 9y (A) 3y (B) 3y 3y 3 (C) 3y 3y 3y h 3 4, find: For questions 61-63, use the epression 4 4 y. 61. (9.4) y y is equivalent to the given epression. 6. (9.4) y y y is equivalent to the given epression. 63. (9.4) y y 3 is equivalent to the given epression Page 17 of 61 Revised 1/01/014
18 SEMESTER EXAMS SEMESTER 64. (9.4)Which of these is NOT a factor of ? (A) 6 (B) (C) + 3 (D) (9.4) If 7 is a factor of (A) 1 (B) 7 (C) 7 (D) 8 11 k, what is the value of k? 66. (9.4) Factor 67. (9.4) Factor 5 4. (A) 55 (B) 5 (C) The epression is not factorable with real coefficients (A) (B) 3 4 (C) The epression is not factorable with real coefficients. 68. (9.4) Which is a factor of ? (A) 5 (B) 5 (C) 4 (D) Page 18 of 61 Revised 1/01/014
19 SEMESTER EXAMS SEMESTER 69. (9.4)Which epression is equivalent to 3 40? (A) 5 8 (B) 5 8 (C) 5 8 (D) (9.4)Which epression is equivalent to ? (A) 75 8 (B) 75 8 (C) 785 (D) (9.4)What value of c makes the epression y 9y c a perfect trinomial square? (A) 9 (B) 9 (C) 81 (D) 81 4 For questions 7-74, consider the solutions to the equation (9.5) 15 0 has the same solutions as the given equation Page 19 of 61 Revised 1/01/014
20 SEMESTER EXAMS SEMESTER 73. (9.5) 15 0 has the same solutions as the given equation. 74. (9.5) has the same solutions as the given equation. 75. (9.5) The epression 4 b 3 is factorable into two binomials. Which could NOT equal b? (A) 7 (B) 1 (C) 1 (D) (9.5) Which quadratic equation has solutions of = a and = b? (A) ab 0 (B) b a ab 0 (C) b a ab 0 (D) b a ab (9.5) Which equation has roots of 4 and 6? (A) (B) (C) (D) Page 0 of 61 Revised 1/01/014
21 SEMESTER EXAMS SEMESTER 78. (9.5) What value(s) of make the equation m n 0 true? (m and n do not equal zero.) (A) m and n (B) m and n (C) mn (D) (9.5)Solve the quadratic (A) = or = 1 (B) = (C) = 1 or = 4 1 or = 8 7 (D) = 0 or = (9.5) When 4 p p? (A) p (B) + p (C) 4 p (D) p 4 p p 0, = is a solution. Which is a factor of 81. (9.6) Given 4 8 c q (A) (B) 7 (C) 14 (D) 49, where c and q are integers, what is the value of c? Page 1 of 61 Revised 1/01/014
22 SEMESTER EXAMS SEMESTER 8. (9.6) The quadratic equation of q? is rewritten as p q. What is the value (A) 47 (B) 15 (C) (9.6)What number should be added to both sides of the equation to complete the square in 8 17? (A) 4 (B) 16 (C) 9 (D) (9.6)Find all solutions to the equation Show your work (9.7)The distance traveled by a dropped object (ignoring air resistance) equals gt, where g is the acceleration of the object due to gravity and t is the time since it was dropped. If acceleration due to gravity is about 10 m/s, how much time does it take an object to fall 80 meters? (A) about 3 seconds (B) about 4 seconds (C) about 5.5 seconds (D) about 9 seconds For question 86, the quadratic equation 86. (9.7-4) 9 c 8 f 3 c 0 has eactly one real solution Page of 61 Revised 1/01/014
23 SEMESTER EXAMS SEMESTER 87. (9.7)How many real solutions does the equation 4 0 have? (A) 0 (B) 1 (C) 88. (9.7)How many real solutions does the equation (A) 0 (B) 1 (C) 3y 0 have? 89. (9.7)Which shows the correct use of the quadratic formula to find the solutions of 8 1? (A) 8 (B) (C) (D) (9.7) A quadratic epression has two factors. One factor is 3. In each part below, find another factor of the quadratic, if possible. If the situation described is not possible, eplain why. a) The quadratic has no real zeros. b) The quadratic has only one real zero. c) The quadratic has two distinct real zeros Page 3 of 61 Revised 1/01/014
24 SEMESTER EXAMS SEMESTER 91. (9.7)One way of epressing a quadratic function is f a b c. A second way is f a h k. a) Find b in terms of a, h, and k. b) Find c in terms of a, h, and k. 9. (9.7) Which value of is a solution to the equation ? 5 (A) 0.68 (B) 1.4 (C).50 (D) 3.79 f (9.7) Given a) Complete the square for f. b) Using the quadratic formula, eplain why the graph of y f has no -intercepts. For question 94, the quadratic equation 94. (9.8) f can be written as a difference of squares. f 3 c 0 has eactly one real solution. 95. (9.8) What is the solution set of 4 5 9? 1 (A) 1, 4 9 (B) 1, (C), 4 4 (D) There are no real solutions Page 4 of 61 Revised 1/01/014
25 SEMESTER EXAMS SEMESTER 96. (9.8) What is the solution set for the equation ? (A) 4, 7 (B) 7, 4 (C) 11, 3 (D) 3, (9.8) What are the solutions of 3 6? 1 3 (A) 3 (B) (C) (D) (9.8) What is the solution set of the equation 5 (A) 6 5 (B) (C), (D), ? Page 5 of 61 Revised 1/01/014
26 SEMESTER EXAMS SEMESTER For questions , use the scenario below. A rectangular playground is built such that its length is twice its width. w = w 99. (9.9)The area of the playground can be epressed as w (9.9) The perimeter of the playground can be epressed as 4w (9.9) Use the figure below. h b The length of the triangle s base b is twice its height h. (a) What are the approimate lengths of the base and height when the triangle s area is 5 m? (b) A similar triangle has a height whose measure (in feet) is a positive integer. What could its area be? 3 s 10s 10. (9.9) The braking distance d, in feet, for a car can be modeled by d. where s is 40 the speed of the car in miles per hour. What is the fastest speed that a car can be moving so that braking distance does not eceed 150 feet? Show your work Page 6 of 61 Revised 1/01/014
27 SEMESTER EXAMS SEMESTER 103. (9.9) The figure below shows a proposed sand pit, an area in a park that will be filled with sand. feet 3 feet feet The sand pit is to be a large rectangular area twice as long as it is wide, plus a smaller rectangular area 3 feet long and as wide as the large area. The two areas share a common side. (a) Write an epression for the total perimeter of the sand pit as a function of. (b) Write an epression for the total area of the sand pit as a function of. (c) The sand in the pit is to be 3 inches deep throughout. The park has 40 cubic feet of sand available. What will be the approimate dimensions of the sand pit? (d) The pit is to be bordered by a chain link fence. How much fencing is needed? 104. (9.9) A farmer can grow about 10,000 bushels of soybeans on a plot of land 1 kilometer by 1 kilometer. (a) (b) (c) Write a function that shows how many bushels of soybeans the farmer can grow on a plot of land kilometers by kilometers. The price per bushel is p dollars per bushel. Write a function that shows how much money can be earned from a plot of land kilometers by kilometers. Last year, a farmer sold $960,000 of soybeans at $15/bushel. What would be the dimensions of a square field that produced this sale of soybeans? Page 7 of 61 Revised 1/01/014
28 SEMESTER EXAMS SEMESTER In questions , use the graph below. The graph shows the height h above the ground (in meters) of a thrown ball as a function of time (in seconds). h t 105. (9.9) The ball hits the ground 3 seconds after it is thrown (9.9) Height begins decreasing as soon as the ball is thrown (t = 0) (9.9) The domain of the function that describes the height of the ball is all real numbers (9.9) A scientist drops an object from the top of and 80-foot building. The scientist uses a stopwatch to measure the time between when it was dropped and when it hits the ground. The height of the object above ground as a function of time is given by ht 80 16t. Which is the domain of this function? (A) t can be any real number. (B) t can be any positive real number. (C) t can be any real number between 0 and 80, inclusive. (D) t can be any real number between 0 and 5, inclusive Page 8 of 61 Revised 1/01/014
29 SEMESTER EXAMS SEMESTER In questions , use the diagram and scenario below. h A cannonball is shot from the top of an ocean cliff as shown. The height (in meters) of the cannonball above the water is given by ht 5t 15t 8, where t is the number of seconds after the shot (9.9) The cannon is 8 meters above the water (9.9) The cannonball reaches its maimum height at 1.5 seconds after it is shot (9.9) The cannonball hits the water 8 seconds after it is shot. 11. (9.9) A company produces toy trains. The cost C of producing t trains is given by the equation C = t. Which shows the number of trains that can be produced for a given cost? (A) t C (B) t C 1 (C) t 300 C 15 1 (D) t 0 C Page 9 of 61 Revised 1/01/014
30 SEMESTER EXAMS SEMESTER 113. (9.9)The surface area of a hemisphere with radius r is given by AH r. The lateral surface area of a cylinder with radius r and height h is given by A rh. L A capsule is composed of two hemispheres attached to a cylinder with a common radius. In this capsule, the height of the cylinder is 7 times its radius. (a) Create a function C(r) that describes the surface area of the capsule. (b) What is the radius of a capsule with a surface area of.3 cm? 114. (10.1) The graph of y 3 6 has how many -intercepts? (A) 0 (B) 1 (C) (D) (10.1) Which quadratic function s graph is symmetric about the line = 3? (A) (B) (C) (D) y 6 y 3 7 y 3 5 y Page 30 of 61 Revised 1/01/014
31 SEMESTER EXAMS SEMESTER 116. (10.1) What are the domain and range of the function below? y 6 8 shown in the graph (A) Domain: all real numbers Range: y 1 (B) Domain: all real numbers Range: all real numbers (C) Domain: 4 Range: y 1 (D) Domain: 4 Range: all real numbers Page 31 of 61 Revised 1/01/014
32 SEMESTER EXAMS SEMESTER 117. (10.1) Which of the following is the graph of y 4 5? (A) (B) (C) (D) Page 3 of 61 Revised 1/01/014
33 SEMESTER EXAMS SEMESTER 118. (10.1) A quadratic function is given by h a b c, where a and c are negative real numbers. Which of these could be the graph of y h? (A) y (B) y (C) y (D) y Page 33 of 61 Revised 1/01/014
34 SEMESTER EXAMS SEMESTER 119. (10.1) Which is the graph of f 3? (A) f() (B) f() (C) f() (D) f() Page 34 of 61 Revised 1/01/014
35 SEMESTER EXAMS SEMESTER 10. (10.1) Use the graph. Which equation is represented the following graph? (A) (B) (C) (D) y 6 y 6 y 6 y 6 For questions 11-1, consider the graph of y (10.1) The graph opens up. 1. (10.1) The ais of symmetry is at Page 35 of 61 Revised 1/01/014
36 SEMESTER EXAMS SEMESTER 13. (10.1) What is the verte of the parabola in the given equation? y (A), 41 (B), 7 (C), 55 (D) 6, (10.1) The table below is of the quadratic f f g 6 5. A second quadratic is defined as Which is true about the two functions minimum values? (A) (B) f has a smaller minimum value. g has a smaller minimum value. f and g are equal. (C) The minimum values of (D) Which function has the smaller minimum cannot be determined from the information given. f (10.1) Use the function Show all work. (a) Identify the intercepts. (b) Identify the ais of symmetry. (c) Determine the coordinates of the verte. (d) Sketch the graph. (e) State the domain and range Page 36 of 61 Revised 1/01/014
37 SEMESTER EXAMS SEMESTER 16. (10.) Where is the ais of symmetry in the quadratic f (A) = 4 (B) = (C) = 6 (D) =? In questions 17-18, consider a quadratic y-intercept at (0, c). y f that has -intercepts at (r, 0) and (s, 0), and a 17. (10.) The function y f has an ais of symmetry at 18. (10.) The function y f r s. has -intercepts at (r +, 0) and (s +, 0) Page 37 of 61 Revised 1/01/014
38 SEMESTER EXAMS SEMESTER 19. (10.) Look at the graph of the quadratic f below. f The graph of What is the value of b? (A) 6 (B) (C) 1 (D) 14 g 3 b 4 has the same -intercepts (10.3) A quadratic function is defined as y (A) The parabola has a maimum value of 7. (B) The parabola has a minimum value of 7. (C) The parabola has a maimum value of 4. (D) The parabola has a minimum value of Which statement is true? Page 38 of 61 Revised 1/01/014
39 SEMESTER EXAMS SEMESTER 131. (10.3) Use the graph below. y (, 3) Which equation could define the given parabola, where a is a positive real number? (A) f a 3 (B) f a 3 (C) f a 3 (D) f a Page 39 of 61 Revised 1/01/014
40 SEMESTER EXAMS SEMESTER 13. (10.3) Use the graph below. y (0, 4) (1, 5) (a) What is the equation of the function shown? (b) Find the -intercepts of the function. (c) What is the average rate of change of the function between the two points identified on the graph? 133. (10.4) Define and sketch the three quadratic functions that have the following characteristics. (a) f has an ais of symmetry at = and no -intercepts. (b) g has a y-intercept at 3 and opens downward. (c) h has a zero at = and a minimum value of (10.4) A parabola is defined as f a increases, what happens to the y-coordinate of the parabola s verte? (A) it decreases (B) it increases (C) it does not change 3 10, where a is a positive real number. As a 135. (10.4) A parabola is defined as f a 3 10, where a is a positive real number. As a increases, what happens to the y-coordinate of the parabola s y-intercept? (A) it decreases (B) it increases (C) it does not change Page 40 of 61 Revised 1/01/014
41 SEMESTER EXAMS SEMESTER 136. (10.4) The table below is of a quadratic function, g, where is measured in seconds and g is measured in meters g What is the approimate rate of change over the interval 0 4? (A).8 m/s (B) 8.7 m/s (C) 6.3 m/s (D) 5.7 m/s 137. (10.4) Use the graph. y k = 3 k = k = 1 Which equation defines this set of parabolas? (A) (B) y k 1 y k 1 1 (C) y k Page 41 of 61 Revised 1/01/014
42 SEMESTER EXAMS SEMESTER In questions , consider a quadratic y-intercept at (0, c). y f that has -intercepts at (r, 0) and (s, 0), and a 138. (10.4) The function y f has a y-intercept at (0, c ) (10.4) If y f opens upward, then y f 140. (10.5) Answer each part. (a) Factor completely: (b) Solve: (c) Graph (d) Solve the system 4 16 opens downward. f 4 16, and label key points and the ais of symmetry. y f 141. (10.6) Solve the system of equations. y 4 6 y 5 (A) ( 4, 6) (B) (0, 5) and y 8. (C) ( 5, 5) and ( 1, 3) (D) ( 5, 5) Page 4 of 61 Revised 1/01/014
43 SEMESTER EXAMS SEMESTER For questions , use the table below f() g() (10.6) f() = g() at (0, 7) (10.6) f() = g() somewhere on the interval 3 < < (10.6) The parabola y 9 and the line y = 8 intersect at two points. Which equation would be useful to find these points? (A) (B) (C) 89 0 (D) Page 43 of 61 Revised 1/01/014
44 SEMESTER EXAMS SEMESTER 145. (11.1) Eamine the dotplots below from three sets of data Set A Set B Set C The mean of each set is 5. The standard deviations of the sets are 1.3,.0, and.9. Match each data set with its standard deviation. (A) Set A: 1.3 Set B:.0 Set C:.9 (B) Set A:.0 Set B: 1.3 Set C:.9 (C) Set A:.0 Set B:.9 Set C: 1.3 (D) Set A:.9 Set B: 1.3 Set C: Page 44 of 61 Revised 1/01/014
45 Frequency of Test Scores ALGEBRA I SEMESTER EXAMS SEMESTER 146. (11.) Mrs. Johnson created this histogram of her 3 rd period students test scores Test Scores Which boplot represents the same information as the histogram? (A) (B) Test Scores Test Scores (C) (D) Test Scores Test Scores Page 45 of 61 Revised 1/01/014
46 Frequency ALGEBRA I SEMESTER EXAMS SEMESTER 147. (11.) This graph shows annual salaries (in thousands of dollars) for all workers in a certain city Salary The median salary is $80,500. Which value is the best approimation for the mean? (A) $66,500 (B) $80,500 (C) $94,500 For questions , use the following scenario. A survey was made of high-school-aged students owning cell phones with tet messaging. The survey asked how many tet messages each student sends and receives per day. Some results are shown in the table below. Number of tet messages sent/received per day among teens who tet Group Number Surveyed Mean Median Girls, years old Boys, years old Total (11.) A histogram of the girls responses (not shown) has a strong right skew. Which statement would support that observation? (A) The number of girls surveyed is greater than the mean number of tets sent by girls. (B) The mean number of tets sent by girls is greater than the median number of tets sent by girls. (C) The mean number of tets sent by girls is greater than the mean number of tets sent by boys. (D) The median number of tets sent by girls is greater than the median number of tets sent by boys Page 46 of 61 Revised 1/01/014
47 SEMESTER EXAMS SEMESTER 149. (11.) Which epression shows the mean number of tet messages for all girls and boys, years old? (A) (B) (C) (D) It cannot be computed from the information given (11.) Which group s data has the larger interquartile range? (A) Boys (B) Girls (C) Neither, they are equal. (D) It cannot be computed from the information given (11.) A data set has 4 values: {1, 5, 6, 8}. The mean of the data set is 5. Which epression shows the computation of the standard deviation? (A) (B) (C) (D) Page 47 of 61 Revised 1/01/014
48 SEMESTER EXAMS SEMESTER 15. (11.) Use the scatterplot below. 30 y A linear model is fit to the data. What is the approimate value of its correlation coefficient? (A) r = 0.8 (B) r = 1.0 (C) r = 0.8 (D) r = 1.0 For questions , use the boplots of two data sets, P and Q, below. Set P Set Q (11.3)Which data set has the larger median? (A) Set P (B) Set Q (C) Neither, the medians are the same Page 48 of 61 Revised 1/01/014
49 SEMESTER EXAMS SEMESTER 154. (11.3)Which data set has the larger interquartile range? (A) Set P (B) Set Q (C) Neither, the interquartile ranges are the same (11.3)Which data set could be described as skewed left? (A) Set P only (B) Set Q only (C) Both sets (D) Neither set 156. (11.3)Which data set has values that are considered outliers? (A) Set P only (B) Set Q only (C) Both sets (D) Neither set 157. (11.3) The distributions of two classes final eam scores are shown below. Mr. Smith Mrs. Jones Final Eam Scores Which statement about the bo-and-whisker plots is true? (A) 50% of the scores for Mr. Smith s class are between 65 and 80. (B) 50% of the scores for Mrs. Jones class are between 80 and 100. (C) The median scores for the two classes are the same. (D) The interquartile range of scores for Mr. Smith s class is greater than the interquartile range of the scores for Mrs. Jones class Page 49 of 61 Revised 1/01/014
50 SEMESTER EXAMS SEMESTER For questions , use the following scenario. A survey asked 100 students whether or not they like two sports: soccer and tennis. The results of the survey are shown in the table. Likes Tennis Likes Soccer Yes No Yes 1 18 No (11.4)What is the relative frequency of students who like tennis, soccer, or both? (A) 0.1 (B) 0.66 (C) 0.78 (D) (11.4)What is the relative frequency of students who like tennis? (A) 0.1 (B) 0.18 (C) 0.5 (D) (11.4)What is the relative frequency of students who like both tennis and soccer? (A) 0.1 (B) 0.30 (C) 0.60 (D) Page 50 of 61 Revised 1/01/014
51 Foot length (cm) ALGEBRA I SEMESTER EXAMS SEMESTER 161. (11.4)A high school principal randomly surveyed students about a change in the dress code. The results are shown in the table. Favors the change Class Freshmen Sophomores Juniors Yes No a) What percentage of all respondents favors the policy change? b) Which class has the highest favorable percentage? Which class has the lowest favorable percentage? c) Is there a relationship between class and favoring the dress code change? Eplain. 16. (11.5)The scatterplot below represents the forearm lengths and foot lengths of 10 people. Forearm length (cm) Based on a linear model of the data, which is the best prediction for the length of a person s foot if his/her forearm length is 1 centimeters? (A) 19 cm (B) 0 cm (C) cm (D) 4 cm Page 51 of 61 Revised 1/01/014
52 SEMESTER EXAMS SEMESTER 163. (11.5)The line of best fit for the scatterplot below is yˆ y Predict y when = 6. (A). (B) 10.5 (C) 11.3 (D) Page 5 of 61 Revised 1/01/014
53 SEMESTER EXAMS SEMESTER 164. (11.5)Which equation best describes fits the data shown in the scatterplot? y (A) (B) y y 8 3 (C) y 8 (D) y Page 53 of 61 Revised 1/01/014
54 SEMESTER EXAMS SEMESTER 165. (11.5)The line of best fit for the scatterplot below is yˆ y What is the residual for the point (4, 10)? (A) 1.5 (B) 1.5 (C) 8.5 (D) (11.5)A scatterplot is made of a city s population over time. The equation of the line of best fit is pˆ 69t 150,000 where ˆp is the city s predicted population size and t is the number of years since 000. What is the meaning of the slope of this line? (A) In 000, the city s population was about 69 people. (B) In 000, the city s population was about 150,000 people. (C) The city s population increases by about 69 people each year. (D) The city s population increases by about 150,000 people each year (11.5)The equation yˆ , gives the predicted population ŷ of a city (in thousands) years after What is meaning of the y-intercept? (A) In 1975, the city s population was about 10 people. (B) In 1975, the city s population was about 31,400 people. (C) The city s population decreases by about 10 people each year. (D) The city s population decreases by about 31,400 people each year Page 54 of 61 Revised 1/01/014
55 SEMESTER EXAMS SEMESTER 168. (11.5)The equation P ˆ 9.50m 509 gives the predicted price ˆP of a particular style of television m months after the style first became available. What is the meaning of the P-intercept? (A) The original price of the television was about $9.50. (B) The original price of the television was about $ (C) The price of the television decreases by about $9.50 each month. (D) The price of the television increases by about $ each month (11.5)The data below comes from a scatterplot y Which best describes the linear relationship between and y? (A) weak or no correlation (B) strong positive correlation (C) strong negative correlation For questions , evaluate the truth of each statement about the correlation coefficient r (11.5)A value of r near zero indicates there is a weak linear relationship between and y (11.5)A value of r = 0.5 indicates a weaker linear relationship between and y than a value of r = (11.5)A value of r = 1 indicates that there is a cause-and-effect relationship between and y Page 55 of 61 Revised 1/01/014
56 SEMESTER EXAMS SEMESTER For questions , use the following scenario. A linear model describes the relationship between two variables, and y. The correlation coefficient of the linear fit is r = (11.5)The slope of the line of best fit is negative (11.5)The linear relationship between and y is weak Page 56 of 61 Revised 1/01/014
57 Frequenc y Frequency ALGEBRA I SEMESTER EXAMS SEMESTER 175. (11.5)The table shows the amount of rainfall in Seattle during the month of December in the years The histogram shows the distribution of rainfall in Seattle during the month of July in the same years, using intervals of 0.5 inches. July December Rainfall (inches) Monthly Rainfall (inches) Year December (a) Create a histogram on the grid above that shows the distribution of rainfall in December using intervals of 1.0 inch. (b) Describe the shapes of the distributions for July and December. (c) How does the mean rainfall for July compare to the median rainfall? Eplain. (d) Compare the median rainfalls for July and December over the period (e) Describe how to compute the standard deviation of the December rainfalls. (You do not have to actually compute it.) (f) Which month s rainfall, July or December, has the greater standard deviation? Eplain. (g) One of the rainfall amounts for July was recorded at.4 inches. In actuality, it was only 1.4 inches. Eplain how this would affect the mean and median of July rainfall Page 57 of 61 Revised 1/01/014
58 residuals residuals Rainfall (inches) ALGEBRA I SEMESTER EXAMS SEMESTER (h) On the grid below, create a scatterplot showing December monthly rainfall over the period from December Year (i) Describe the relationship between December rainfall and year (11.7)Two residual plots are shown below. Plot I Plot II Which residual plot(s) would indicate a linear model is appropriate? (A) Plot I only (B) Plot II only (C) Both Plot I and Plot II (D) Neither Plot I nor Plot II Page 58 of 61 Revised 1/01/014
59 SEMESTER EXAMS SEMESTER For question 177, use the graph below. y (6.47, 88.77) y = + 5 y = 177. (1.1)There are values of < 0 where (1.1)The graph of y 4 intersects a line at (p, 0) and (t, 5). What is the greatest possible value of the slope? Eplain your reasoning Page 59 of 61 Revised 1/01/014
60 SEMESTER EXAMS SEMESTER For question 179, use the graph below. y (6.47, 88.77) y = + 5 y = 179. (1.)There are values of > 7 where 180. (1.3)The graph below shows a function. 5. Which model best describes the graph? (A) absolute value (B) eponential (C) linear (D) quadratic Page 60 of 61 Revised 1/01/014
61 SEMESTER EXAMS SEMESTER 181. (1.3)Three scatterplots are shown below y Plot I y Plot II y Plot III Three functions are defined. f 1 g 1 h Match the functions to scatterplots as models for them. (A) Plot I: (B) Plot I: (C) Plot I: f Plot II: g Plot III: h f Plot II: h Plot III: g 1 f Plots II and III cannot be determined from the information given (D) Plots I, II, and III cannot be determined from the information given Page 61 of 61 Revised 1/01/014
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