MATH TEST FORM B Name: 1. Which equation has exactl one real solution? a. 4x 1x 9 = 0 b. 4x + 1x + 9 = 0 c. 4x 6x 9 = 0 d. 4x + 6x + 9 = 0. Congruent squares, with side lengths of x, are cut from the corners of a 1-inch b 16- inch piece of cardboard to form an open box. Which equation models the surface area,, of the open box after the corners are cut awa? a. = (16 x)(1 x) b. = (16 x)(1 x) + 4x c. = 19 16x d. = 19 4x. The cost of a newspaper advertisement is a function of its size. A compan wants its advertisement to have a height that is twice its width. The newspaper charges a flat rate of $50 plus an additional $10 per square inch. The compan can spend no more than $,050 on the advertisement. What is the maximum height of an advertisement that the compan can afford? a. 5 inches b. 10 inches c. 15 inches d. 0 inches 4. Which function is even? a. f(x) = (x + )(x ) b. f(x) = x(x + ) c. f(x) = (x + 1)(x ) d. f(x) = (x 1)(x 1) 5. Congruent squares, with side lengths of x, are cut from the corners of a 5-inch b 1-inch piece of cardboard to form an open box. Which equation models the volume, V, of the open box after the corners are cut awa? a. V= -4x 16x + 65 b. V= 4x 6x + 65 c. V= -8x 6x + 15 d. V= 8x 16x +15 6. Lee s Landscaping Compan cuts down trees. The number of trees varies directl to the time in hours. After 0 hours the compan has cut down 40 trees. How long will it take to cut down trees? a. 11 hours b. 1 hours 0 mins c. 46 hours d. 11 hours and 0 mins
7. Which expression is equivalent to (4x 4 +5x -6x+10)+(-5x -7x-15)? a. -9x +5x -1x+5 b. x -1x-5 c. 4x 4-1x-5 d. x 4 +10x -1x-5 8. Which of the following best describes the roots of the function f(x) = -x + x 4? a. real, rational roots b. real, irrational roots c. imaginar, complex roots d. 1 real, rational root 9. Factor the polnomial: x x + 4x 4 a. (x + ) (x 1) b. (x + 4)(x 1) c. (x 4)(x + 1) d. (x + 4)(x 1) 10. An open-top box will be formed b cutting equal squares awa from the corners of a cardboard sheet measuring 8 inches b 10 inches and folding up the sides. What size x (from above) will give the maximum volume? a. x = 0.8 b. x = 1.18 c. x = 1.47 d. x =. 11. Find the zeros of f(x) = x x + a. 9 b. 6 c. 40 6 d.
1. Simplif 9x x z z 4 a. b. c. d. 7 18 81x 18 81x 6 7x 18 1. Determine the equation of the polnomial with zeros, 5, and -. a. x 8x + b. x 10x 1 x + 0 c. x 6x x + 0 d. x +10x x + 15 14. A sstem of equations is shown below. What is the largest value of x in the solution set of the sstem? a. -5.1 c. 10. b..1 d..4 15. A cit map is placed on a coordinate grid. The post office is located at the point P (5,5), the librar is located at the point L (15,10), and the police station is located at the point S (9,5). What is the ratio of the length of to the length of? a. : b. :5 c. : d. 1: 16. The sum of two numbers is. The sum of the squares of the two numbers is 50. What is the product of the two numbers? a. 169 c. 5 b. 00 d. 16
17. Given the table to the right, determine if varies directl to x. If so, find the constant of variation and write the equation. a. Yes, k=, =x b. b. No, because of (0,0) x c. Yes, k=1/, =1/x d. Yes, k=, =1/x -0-10 8 4-4 - 0 0-1 -6-16 -8 18. Which graph of f(x) describes a transformation of a parabola if it is translated units to the right and 10 units down? a. x +6x+1 c. x x+1 b. x +x-1 d. x 6x-1 19. Is the function ( ) even, odd, or neither? a. Even b. Odd c. Neither 0. Is the function ( ) even, odd, or neither? a. Even b. Odd c. Neither 1. What is the range of x=-? a. - b. [-, ) c. (- ) d. (-,-]. Evaluate the piecewise function f(-1). a. f(-1)=1 b. f(-1)=4 c. f(-1)=- d. f(-1)=-4. Evaluate the piecewise function f(4). a. f(4)=16 b. f(4)=-16 c. f(4)=-4 d. f(4)=4
4. Determine the equation for the piecewise function f(x) that is represented b the graph. 5. In which direction must the graph of A. left B. right C. up D. down 1 be shifted to produce the graph of? x 6. A stunt man working on the set of a movie is to fall out of a window 150 feet above the ground. The equation that models his fall is: h = -16t + 150 Where h is the of the fall (in feet) and t is the time of the fall (in seconds). How man seconds will the stunt man be in the air? A 9.4 seconds B 4.6 seconds C.1 seconds D.5 seconds 7. A football was kicked b a plaer on the field. The following equation is used to represent the equation of the football after it was kicked f(x)=-5t + 100t 110 where x is the time (in seconds). How long will it take the football to reach the ground? A. 18.8 seconds B. 4.5 seconds C. 17. seconds D. 10 seconds
8. The chart below shows the speed, x, of birds (in meters per minute) and the amount of calories,, the bird burns for each speed. Speed (meters per minute) 5 0 5 40 45 Calories burned 15 16 151 14 1 Based on the best-fit quadratic model, at which value of x will the amount of calories burned be approximatel 100? (HINT: STAT EDIT) A. 8 B. 9 C. 18 D. 0 9. Suppose ou have a function f(x). What effect does the translation f(x + ) 7 have on the graph of f(x)? A. left, up 7 B. right, down 7 C. left, down 7 D. right, up 7
Math II 8 Week Benchmark 7 0. Which is an equation for the parabola that has vertex (1, ) and passes through the point (, 5)? A. = x -x+4 B. = x +x+4 C. = x 4x+5 D. = x + +4x+5 THE END CLICK HERE TO SUBMIT YOUR RESPONSES