Quick review: Indicate which numbers are prime: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Indicate which numbers are even: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, List a set of consecutive odd integers: List a set of distinct integers: What are the distinct prime factors of 60? Solve the following: x + 2 = 10 x 4 10 List the transformation caused by each of the following: y = x Q + 2 y = x Q 2 y = x + 3 Q y = x 2 Q y = x + 2 Q 3 Circle Area: Circle Circumference: Circle Diameter: Triangle Area: Trapezoid Area: Parallelogram Area: If a line has a slope of 2, what is the slope of a parallel line? slope of a perpendicular line? x-intercepts are the value of when is 0. y-intercepts are the value of when is 0. 9a Q = ] = 72 = 2 + 5 = ^ x Q x _ = x Q _ = 2x _ = `a `b = x c d = x b e = x fq = Q f_ = _
1. If the length of a side of a square is (5x + 1) centimeters, which of the following general expressions represents the area of the square, in square centimeters? A. 4(5x + 1) (5x + 1)(5x 1) k`l] d Q D. 5x + 1 Q 2. An isosceles trapezoid has the following characteristics: Area = 45 square feet, height = 9 feet, and one base = 2 feet. Which of the following values could be the length of the other base in feet? A. 3 5 8 D. 10 3. Parallelogram ABCD is shown in the standard (x, y) coordinate plane. The measure of angle C is 35. What is the measure of the angle between segment AB and the y-axis? A. 15 25 35 D. 55 4. The edges of a cube are each 4 inches long. What is the surface area, in square inches, of this cube? A. 16 24 96 D. 64 5. A room is 11 feet long, 7 feet wide, and 8 feet high. What is the surface area, in square feet, of the four walls, ceiling, and floor of the room? A. 221 330 442 D. 616
6. What are the possible values of a, given that a + 7 = 13? A. a = 6 a = 6, 6 a = 6, 20 D. a = 6, 20 7. Which of the following is equivalent to x 2 < Y? A. x + 2 < Y x 2 < Y x 2 < Y and x 2 > Y D. x 2 < Y and x 2 < Y 8. What is the product of the distinct prime factors of 45? A. 3 5 15 D. 45 9. What is the median of the first 5 non-prime, positive, and even integers? A. 4 6 8 D. 10 10. An integer, x, is added to 5. That sum is then divided by 4. This result is 13 less than double the original integer. Which equation below expresses this relationship? A. fkl` ^ fkl` ^ fkl` ^ = 13 2x = 2x 13 = 2x 23 D. (x + 5) = 13 2x
11. klc a ]l c equals which of the following values? u A. 2 ]^ _ ]vw _Q D. k] v 12. If ] k + ] k = 1, what is k? x v A. z Q^ Q^ z ^v z D. 7 13. ]Q { =? ]_ A. 0 1 undefined D. cannot be determined 14. 6x x 2x x is equivalent to: A. 18x ]Q 18x _x 12x ]Q D. 12x _x 15. _^ fq =? A. Q _ Q _ w _ ]x D. ]x w
16. `dfqk ^ v` `lk =? A. 2(x 5) 2x(x + 5) 2x(x 5) D. `fk _Q x 17. What values are the solutions for z, given the expression z Q + 5z = 14? A. 7, 2 2, 7 7, 2 D. 2, 7 18. What is the area of a square with sides represented by the variable expression (5x 2) inches? A. 10x Q + 4 25x Q 4 25x Q 10x + 4 D. 25x Q 20x + 4 19. Which of the following expressions is equivalent to (3x 5)(4 + x)? A. 7x 3x Q + 7x 20 3x Q + 17x + 20 D. 15x Q + 5x + 20 20. ] + ] + w _x A. z ]v 1 k x ^ w =? D. 1 ] x
21. Which of the following is equivalent to 3 2x^ _? A. 8x ]Q 24x z 24x ]Q D. 24x x^ 22. Matt is heading to college in Ann Arbor from San Diego, a 2,310 mile journey. If he travels an average of 55 miles per hour, then how long will it take him to arrive? A. 38 42 46 D. 51 23. The average (arithmetic mean) of three numbers is equal to 56. If one of the numbers is 25, what is the sum of the other two numbers? A. 56 81 132 D. 143 24. A basketball team scores 86, 74, and 71 points in its first three games. If, after the fourth game, the team has scored an average of 79 points per game, how many points did it score in its fourth game? A. 79 85 87 D. 89 25. A commercial shows indoor paint ] k off the regular price of $50 dollars a gallon. An 8% sales tax will be applied to the sale price of the paint. A customer buying 2 gallons of paint gives the sales clerk $100. How much change, if any, should the customer receive? A. $13.60 $21.60 $78.40 D. $86.40
26. Kian went to the Tire Store that was having a storewide sale and found 4 new tires with an original price of $75.00 each marked with a discounted price of 20% off the original price. There was a 6% sales tax on the final price of all items. How much did Kian pay for his 4 tires? A. $63.60 $79.50 $240.00 D. $254.40 27. At Easy Pizza, customers choose their pizzas from 7 sauces, 5 cheeses, and 6 toppings. How many different types of pizzas are possible for a student who chooses exactly 1 sauce, 1 cheese, and 1 topping? A. 18 35 70 D. 210 28. How many different 3-student groups can be chosen from a class of 40 students? A. 9,880 59,280 29. A bag contains bouncy balls: 7 are yellow, 19 are green, and 14 are white. What is the probability that a bouncy ball chosen at random from the bag is NOT green? A. ]w ^{ Q] ^{ ]w _{ D. Q] _{ 30. A cake mixture contains flour, sugar, and baking soda in a 5:4:1 ratio, respectively. If the mixture contains 10 cups of flour, what is the total number of cups in the mixture? A. 2 8 10 D. 20
31. If j varies inversely as k, and j = 2 when k = 5, then what is the value of j when k = 2.5? A. 1 4 5 D. 10 32. The volume of a gas varies inversely with pressure. At a volume of 60 ml the pressure is 101.3 KPa. What will the pressure be when the volume decreases to 25mL? A. 42.21 123.11 243.12 D. 312.21 33. The circumference of a circle is 34π feet. What is the radius of the circle, in feet? A. 6 17 27 D. 34 34. A circle has a diameter of 12 centimeters. What is the area of the circle in square centimeters, in terms of π? A. 6π 12π 36π D. 144π 35. What is the equation of the circle shown in the figure provided? A. x 3 Q + y 3 Q = 9 x Q + y Q = 3 x 3 Q + y 3 Q = 3 D. x Q + y Q = 9
36. In triangle ABC, AB is equal to BC and angle A measures 42 degrees. What is the measure of angle C? A. 42 69 96 D. 138 37. The top of a rectangular desk measures 28 inches wide and 40 inches long. What is the length of the diagonal of the top of the desk, to the nearest inch? A. 48 49 68 D. 136 38. An angle in a right triangle has a measure of x. If cos x = v A. x^ Qkk ]k ]z ]z ]k D. Qkk x^ ]z ]k and tan x =, then sin x =? v 39. A mirror sitting on level ground is leaning against a vertical wall, and it creates a 45 degree angle with the wall. If the distance from the wall to the bottom of the mirror is 8, how tall is the mirror? A. 8 8 2 8 3 D. 16 40. Which of the following could be a possible value of a that satisfies logˆ 64 = 3? A. 3 4 5 D. 6
41. In the standard (x, y) coordinate plane, the midpoint of a line segment is at (2, 5) and one of its endpoints is at ( 1,7). Given that the coordinates of the other endpoint are (a, b), what is the value of a b? A. 9 15 36 D. 51 42. What is the distance between point A (6,3) and point B (8, 12) on the standard (x, y) coordinate plane? A. 9.22 15.13 16.64 D. 20.52 43. Find the midpoint of a line segment with endpoints (7, 3) and (4,2) in the standard (x, y) coordinate plane. A. (11, 1) D. ]], ] Q Q ]] _ Q, ] Q Q, k Q 44. For what value(s) of x is `fq b A. x = 1 x = 0 x = ±1 D. x = 1 `df] undefined? 45. In the standard (x, y) coordinate plane, point A has non-zero x- and y-coordinates, and the coordinates have the same sign. Which of the following four quadrants does point A lie in? A. Quadrants I or II only Quadrants I or III only Quadrants II or III only D. Quadrant I only
46. In the figure below, a, b, and c are parallel lines that intersect transversal s. What is the sum of angles w, x, y, and z? A. 90 180 360 D. Cannot be determined from the data given 47. If a line contains the points ( 5,8) and (3,2) in the standard (x, y) coordinate plane, what is the yintercept of the line? A. (0, 16) (0, 4.25) (0,4.25) D. (0,16) 48. Which of the following goes through the point (6,5) and is perpendicular to y = 5x + 3 in the standard (x, y) coordinate plane? A. y 5 = ] k x 6 y = ] ]v x + k k y 5 = ] x 6 k D. y = ] k x 6 49. If f(x) = x, which change to f(x) would result in the graph of y = f(x 3)? A. It moves to the left 3 It moves to the right 3 It moves up 3 D. It moves down 3 50. Thomas has 360 jellybeans that he wants to distribute among Dylan, Cece, and Alex. He wants to give Dylan half as much as he gives Cece and three times as much as he gives Alex. How many jellybeans should he give Dylan? A. 60 100 108 D. 120
51. Ana is d-years-old and is 7 years younger than Paul. In terms of d, how many years old will Paul be in 5 years? A. d 12 d 7 d + 7 D. d + 12 52. While solving a problem on the class whiteboard, Mr. Taylor meant to multiply a number by 7, but instead he accidentally divided the number by 7. Which of the following calculations could Mr. Taylor do to his work on the whiteboard to obtain the result he originally wanted? A. Divide by 7 twice Divide by 7 once Multiply by 7 once D. Multiply by 7 twice 53. If ^ `fq = A. Q k ]k ]w 6 D. 9 z Q`lk, what is the value of x? 54. (w 3x + 4y) 2(x + 2y z) is equivalent to: A. w 5x + 2z w 5x + 8y + 2z w 5x + 8y 2z D. w x + 8y 2z 55. f x = x and g x = x Q + 11. What is the positive difference between f(g(5)) and g(f(5))? A. f(g(6)) + g(f(16)) 6 10 D. 16
56. A manager is organizing a social event for her company. She ordered 15 prizes for a raffle for a total of $145.50. Each raffle prize costs either $8.50 or $10.50. How many $10.50 raffle prizes did the manager purchase? A. 6 7 8 D. 9 57. 16 people had a reservation at a lobster buffet for dinner. The price of dinner for an adult is $30.50 and the price for dinner for a child is $24.00. The total cost of the dinner was $442.50, excluding taxes. How many children attended the dinner in the group? A. 7 8 9 D. 10 58. The sum of the real numbers x and y is 14. Their difference is 8. What is the value of xy? A. 11 22 33 D. 44 59. 3x + 2y = 21 and 6y 4x = 24. What is the value of x? A. 3 3 4 D. 6 60. If 3x Q + 2x 5 = 0, what are the solutions for x? A. 1, k _ 1, k _ 1,3 D. 1,5