1 2 Consider the expression 3n 2 + n + 2 a. What is the coefficient of n? b. What terms are being added in the expression? 3 4
5 6 What is a common factor for the expression 24x 2 + 16x + 144? a. 16 b. 8x c. 3x 2 + 2x + 18 d. 8(x-2)(3x 2 + 9) Which of these shows the complete factorization of 6x 2 y 2 9xy 42? A. 3(2xy 2-7)(xy 2 + 2) B. (3xy + 6)(2xy 7) C. 3(2xy 7)(xy + 2) D. (3xy 2 + 6)(2xy 2-7) 7 8 The function h(t) = -t 2 + 8t + 2 represents the height, in feet, of a stream of water being squirted out of a fountain after t seconds. What are the zeros of the function represented by the quadratic expression x 2 + 6x 27? What is the maximum height of the water? How high would the water be after 3 seconds?
9 10 What are the zeros of the function represented by the quadratic expression 2x 2 5x 3? What are the zeros of the function represented by the quadratic expression 2x 2 + x 3? 11 12 Which of these is the result of completing the square for the expression x 2 + 8x 30? A. (x + 4) 2 30 B. (x + 4) 2 46 C. (x + 8) 2 30 D. (x + 8) 2 94 What is the vertex of the graph f(x) = x 2 + 10x 9? A. (5, 66) B. (5, -9) C. (-5, -9) D. (-5, -34)
13 14 The expression -x 2 + 70x 600 represents a company s profit for selling x items. For which number(s) of items sold is the company s profit equal to $0? A. 0 Items B. 35 Items C. 10 Items and 60 Items D. 20 Items and 30 Items The product of two consecutive positive integers is 132. A. Write an equation to model the situation. B. What are the two consecutive integers? 15 16 The formula for the volume of a cylinder is V = πr 2 h. A. Solve the formula for r. B. If the volume of a cylinder is 200π cubic inches and the height of the cylinder is 8 inches, what is the radius of the cylinder? Make 2 columns and title one as Rational and one as Irrational. Then list each number where you think they belong. Provide an explanation of way numbers are rational or irrational. 4 + 7 2 8 3-3 5.432157. 3 12 5 36 10 7 45 31-456 0 5
17 18 A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has a uniform width, and the area covered by the garden and the walkway is 192 square feet. What is the width of the walkway. The formula for the area of a circle is A = π r 2. Which equation shows the formula in terms of r? A. r = 2A P B. r = A P A. 2 Feet B. 3.5 Feet C. 4 Feet D. 6 Feet C. r = A P D. r = A 2P 19 20 Solve the equations below. A. x 2-10x + 25 = 0 B. x 2-100 = 0 C. 4x 2-7x +3 = 0 The table defines a quadratic function. What is the average rate of change between x = -1 and x = 1? A. Undefined B. - 1 3 C. -3 D. -4
21 22 The total area of two rectangles can be represented by the expression (x)(3x + 1)+(2x)(x + 3). Which expression represents the total area of the two rectangles combined? A. 7x 2 B. 6x 3 + 6x 2 What are the solutions to the equation 2x 2-2x -12 = 0? A. x = -4, x = 3 B. x = -3, x = 4 C. x = -2, x = 3 D. x = -6, x = 2 C. 6x 2 + 7x D. 5x 2 + 7x 23 24 What are the solutions to the equation 6x 2 - x - 40 = 0? A. x = - 8 5, x = 5 2 B. x = - 8 5, x = - 5 2 C. x = 8 5, x = 5 2 D. x = - 5 2, x = 8 3
25 An object is thrown in the air with an initial velocity of 5 m/s from a height of 9 m. The equation h(t) = -4.9x 2 + 5t + 9 models the height of the object in meters after t seconds. About how many seconds does it take for the object to hit the ground? Round your answer to the nearest tenth of a second. Justify your choice. A. 0.940 second B. 1.50 seconds C. 2.00 seconds D. 9.00 seconds 26 Jane sells necklaces at a craft fair. She uses the equation p = 7.5n (2.25n + 15) to determine her total profit at the fair. Based on this equation, how much does she charge for each necklace? You must explain or show work to justify your choice. A. $2.25 B. $7.50 C. $15.00 D. $17.25 27 28 The perimeter of a rectangle is P = 2w + 2l where w is the width of the rectangle and l is the length of the rectangle. Rearrange this formula to find the width of the rectangle. A. w = P 2l B. w = p 4 - l Which function can be used to model the data in this table? A. f(x) = 3x B. f (x) = x 2-1 C. f(x) = x 1 C. w = 2p l D. w = p 2 - l D. f(x) = 2x 1
29 30 The function f(x) = x 9 is shifted 2 units up and 3 units to the left. Select the new function. A. g(x) = 2x 6 B. g(x) = (x 3) + 7 C. g(x) = 3x 7 D. g(x) = (x + 3) 7 There are 3 functions below. Choose which function will have the greatest rate of change and explain why. A. f(x) = 10x 2 + 4x +1 B. g(x) = 20x + 30 C. p(x) = 5 x + 2 32 33 Taylor says that exponential functions will ALWAYS have a greater rate of change than linear or quadratic functions. Do you agree or disagree? Explain why. of A. Mrs. Wright says that linear functions have a constant rate change. Do you agree of disagree? Explain why B. Coach Clark says that exponential functions have a constant rate of change also. Do you agree or disagree? Explain why. C. Biff says that quadratic functions have a constant rate of change