Instructional Materials for the WCSD Math Common Finals

Transcription

1 Algebra 1 Semester Instructional Materials for the WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Math Common Final blueprint for this course. When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards vocabulary and interaction with the types of problems included in the Instructional Materials can result in less anxiety on the part of the students. Teachers can use the Instructional Materials in conjunction with the course guides to ensure that instruction and content is aligned with what will be assessed. The Instructional Materials are not representative of the depth or full range of learning that should occur in the classroom

2 Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. You invited friends over to your house to watch a movie. You let each person decide if they wanted to snack on popcorn, which cost $.50 per person, or candy, which cost $1.75 per person. You spent $17.75 to buy snacks for 8 people. Write a system of equations that you could use to determine how many people chose popcorn (p) and how many chose candy (c)..50p c = 8 A. f(x) = { p + c = p + 8p = B. f(x) = { 1.75c + 8c = p = 8 C. f(x) = { c = 8.50p c = D. f(x) = { p + c = 8. Two different families bought general admission tickets for a Reno Aces baseball game. One family paid $70 for 6 adults and children. The other family paid $59 for 3 adults and 4 children. How much does an adult ticket cost? A. $8 C. $11.67 B. $9 D. $ Which system of inequalities models the graph below? A. { y < 1 3 x 1 x + 4y > 8 B. { y < 1 3 x 1 x 4y > 8 C. { y > 1 3 x 1 x 4y < 8 D. { y > 1 3 x 1 x + 4y < 8

3 4. Jesse wants to plant peach and apple trees in his backyard. He can fit at most 9 trees. Each peach tree costs $60, and each apple tree costs $75. If he only has $600 to spend, make a graph showing the number of each kind of tree that he can buy. A. C. B. D. 5. Which piecewise function is represented by the graph? x 3, x < 1 A. f(x) = { 3x 5, x > 1 x + 3, x 1 B. f(x) = { 3x 5, x > 1 x + 3, x 1 C. f(x) = { 3x 5, x > 1 D. f(x) = { x 3, x < 1 3x 5, x 1

4 6. Which graph represents the piecewise function? 1 f(x) = { x 1, x, x < A. C. B. D. 7. The value of 68 is between which two integers? A. 9 and 8 C. 8 and 7 B. 8 and 9 D. 7 and The value of 90 is between which two integers? A. 4 and 5 C. 5 and 6 B. 6 and 7 D. 9 and What is the simplified form of 48 54? A C B. 36 D. 196

5 10. What is the simplified form of 4 5 (8 3)? A C B D What is the simplified form of (4g 3 h 4 ) 3? A. B. 1g 6 h 1 C. 64g 9 h 1 D. 1g 9 h g 9 64h 1 1. What is the simplified form of ( 3c 1 ) (c 15 d 8 )? A. B. 6c 8 C. d 8 6d 8 c 8 5c 7 d 8 D. 6cd 13. What is the simplified form of 36m 4 n 6 4mn? (Assume that m 0, n 0, and p 0) p 4 A. B. 9n 4 p 4 m 3 C. 9n 8 p 4 m 5 9n 8 m 5 p 4 D. 9m 5 n 8 p 4

6 14. Which of the following graphs represent y = x? A. C. B. D. 15. Reflect the graph of f(x) = x over the x-axis and translate the function one (1) unit up. Which of the following is the function after the translation? A. f(x) = x 1 C. f(x) = x + 1 B. f(x) = x + 1 D. f(x) = x Which of the following is the solution for x in the equation x = 10? A. x = 5 C. x = 1 B. x = 5 and x = 1 D. no solution 17. Which of the following is the solution for x in the equation 3 x + 4 = 6? A. x = 6 C. x = B. x = 6 and x = D. no solution

7 18. If f(x) = x and g(x) = 1 x + 5, use the tables below find the x-value(s) where f(x) = g(x). f(x) = x x f(x) g(x) = 1 x + 5 x g(x) A. x =, 4, 6 C. x = 6, B. x =, 6 D. no solution 19. Which graph below models the solutions to the equation 3 x =? A. C. B. D.

8 0. Given the equation and graph of y = x 1, what is the domain and range? A. Domain: all Real numbers Range: y 1 B. Domain: all Real numbers Range: y 1 C. Domain: all Real numbers Range: y 1 D. Domain: 1 x 1 Range: y 1 1. Which of the following quadratic functions represents the function graphed below? A. y = 1 x 5 B. y = x 5 C. y = (x + 5) D. y = (x 5)

9 . Which of the following graphs represent y = x 4? A. C. B. D. 3. Translate the graph of f(x) = x four (4) units to the left, three (3) units up and stretch the graph by a factor of. Which of the following is the function after the transformations? A. f(x) = 1 (x + 4) + 3 C. f(x) = (x + 4) + 3 B. f(x) = 1 (x 3) 4 D. f(x) = (x 3) 4 4. Which of the following quadratic functions represents the function graphed? A. y = (x 1) + 3 B. y = (x + 3) + 1 C. y = (x + 1) + 3 D. y = (x 1) + 3

10 5. Which of the following is the vertex for y = 4(x 5) +? A. (5, ) C. ( 5, ) B. ( 0, ) D. (5, ) 6. What is the y-intercept of the graph of y = (x 1) + 3? A. (1, 3) C. (0, 3) B. (0, 5) D. (, 1) 7. Given the graph of y = x, what is the solution for x after the transformation down four (4) units and left three (3) units? A. x =, x = B. x = 3 C. x = 5, x = 1 D. x = 4, x = 3 8. Which of the following are the x-intercepts for y = (x + ) 16 A. ( 6, 0), (, 0) C. ( 6, 0), (, 0) B. (, 0), (16, 0) D. (, 0), ( 16, 0) 9. Solve for x in 16x 49 = 0. A. x = ± C. x = B. x = ± 7 4 D. x = What is the product of the binomials: (r 8)(r + 5)? A. r 40 C. r 3 B. r + 13r 40 D. r 3r 40

11 31. What is the simplified form of (b + 7)? A. b + 14b + 49 C. b + 49b + 49 B. b + 49 D. b The polynomial x + 11x + 30 is factorable. One factor is (x + 6), what is the other factor? A. (x + 1) C. (x 5) B. (x + 3) D. (x + 5) 33. Which of the following is a factor of 3x 1? A. (x + 1) C. (x ) B. (x 4) D. (x + 4) 34. Which of the following is a factor of x + 7x 30? A. (x 5) C. (x 1) B. (x + 6) D. (x 6) 35. What is the solution to x + 8x = 84? A. x = 1, x = 7 C. x = 14, x = 6 B. x = 14, x = 6 D. x = 1, x = Using the quadratic formula, what is the solution to h + 9h 4 = 0? A. h = , h = B. h = 9 65, h = C. h = 9 97, h = D. h = , h =

12 37. Which of the following is a solution to x + 14x = 18 A. x = 7 ± 85 B. x = 7 ± 13 C. x = D. x = 7 ± ± Which of the following is the vertex form for y = x + 4x + 7? A. y = (x + ) + 3 C. y = (x + ) + 7 B. y = (x ) + 4 D. y = (x ) What is the y-intercept of the graph of y = x + 9x + 15? A. (0, 9) C. (0, 15) B. (9, 15) D. (0, 15) 40. What is the vertex of the function f(x) = x + 8x 9? A. ( 4, 73) C. (, 33) B. (4, 9) D. (, 1) 41. The graph of h(x) = x + 10x 16 models the height of one of the arches at the entrance of a parking structure. If the domain of this function is x 0, what is the range? A. h(x) 5 C. h(x) 9 B. h(x) 8 D. h(x) Which of the following best describes the data in the table? x A. Exponential with a growth rate of 3 B. Linear with a rate of change of 6 C. Quadratic with a second difference of 1 D. none of the above y

13 43. Since the year 001 the population of community A grows exponentially as illustrated in the table. The exponential rate of growth is 1.3. What is are the units for the rate of growth in the table? year people A. people per year B. years per people C. years D. people 44. Determine which of the following equations represent exponential growth or decay. Equation 1 Equation Equation 3 Equation 4 y = 1.5 x y = 0.8 x y = 0.5 x y =.7 x A. Equation 1: Decay Equation : Decay Equation 3: Growth Equation 4: Growth B. Equation 1: Growth Equation : Growth Equation 3: Decay Equation 4: Decay C. Equation 1: Decay Equation : Growth Equation 3: Growth Equation 4: Decay D. Equation 1: Growth Equation : Decay Equation 3: Decay Equation 4: Growth 45. Which of the following functions is modeled in the table? x y A. Exponential C. Quadratic B. Linear D. none of the above 46. What is the solution for x in 4 x = 64? A. x = 16 C. x = 3 B. x = 4 D. x =

14 47. What is the solution for x in 5 x 9 = 15? A. x = 6 C. x = 5 B. x = 4 D. x = What is the solution to the system graphed? A. (, 4) B. (4, ) C. (1, ) D. no solution 49. What is the solution for x in the system? { y = 8 y = x A. x = 1 3 C. x = 1 B. x = 1 D. x = What is the solution for x in the system? { 3 = 3y y = x + 1 A. x = 1 C. x = 1 B. x = 1 D. x =

15 Algebra 1 Semester Instructional Material Answers 1. D 11. D 1. B 31. A 41. C. B 1. A. A 3. D 4. A 3. C 13. C 3. C 33. C 43. A 4. A 14. D 4. D 34. B 44. A 5. B 15. D 5. D 35. C 45. C 6. C 16. B 6. B 36. D 46. C 7. A 17. D 7. C 37. C 47. A 8. A 18. C 8. A 38. A 48. A 9. B 19. A 9. B 39. C 49. D 10. A 0. B 30. D 40. D 50. B