MATH Final Exam th 9 Grade ___ 2018 - 2019 Exam (30%) ____ Daily Work (70%) ____ Average ____ Student signature: Name___________________________________________________________ Date ___________________________________ Roll # _______ (___ /50) Exam Score ______ I. Circle the correct answer. (2 points each) 1. What is the slope of a ski run that rises 5 ft for every horizontal change of 20 ft? a. 1/20 b. 1/5 c. 1/4 d. 20/5 2. What is the slope of the line that passes through the points E(5, 1) and F(2, -7)? a. 8/3 b. 3/8 c. -3/8 d. -8/3 3. The cost of peanuts varies directly with the number of pounds bought. If 3 pounds of peanuts cost $6.30, what is the cost of 4.5 pounds? a. $7.35 b. $8.40 c. $9.45 d. $10.05 4. What are the slope and y-intercept for the graph of y - 3x = -1? a. slope: 1 y-intercept: 3 b. slope: 3 y-intercept: -1 c. slope: -3 y-intercept: 1 d. slope: -1 y-intercept: -3 5. What are the x- and y-intercepts for the graph of 4x - 3y = -12? a. x-intercept: -3 y-intercept: -4 b. x-intercept: 3 y-intercept: 4 c. x-intercept: 3 y-intercept: -4 d. x-intercept: -3 y-intercept: 4 6. What is the constant rate of change between the quantities in the table below? Number of teams, x 9 12 15 20 Total players, y 99 132 165 220 a. 9 player per team b. 10 players per team c. 11 players per team d. 12 players per team 7. A ladder rises 20 ft for every horizontal change of 4 ft.What is the slope of the ladder? a. ⅕ b. 4 c. 5 d. 20 8. Shanda knits 5 scarves in 2 hours. Assuming the number of scarves she knits varies directly with time, how many scarves will she knit in 10 hours? a. 2 b. 5 c. 10 d. 25 9. What is the solution of the system of equations below? y + 2x = 2 y + 4x = 0 a. (1, -4) b. (-1, -4) c. (-1, 4) d. (1, 4) 10. Which of the following equations is in point-slope form? a. x - 8 = 7(y - 1) b. 2x - 3y = 6 c. y = 6x - 2 d. y - 2 = 3(x -5) c. 55 d. 65 11. What is the value of x in the triangle? a. 25 b. 45 12. Coty painted a right triangle on paper. The hypotenuse of this triangle is 18 inches and one of the legs is 7 in. What is the length of the third side? a. 11 in b. 14.2 in c. 16.6 in d. 19.3 in 13. Find mθE in ∆DEF if mθD = 34° and mθE = 117°. a. 29° b. 56° c. 63° d. 61° 14. Write an equation you could use to find the length of the missing side of the right triangle. a. b2 = 222 - 72 b. b2 = 222 + 72 c. 222 = 72 - b2 d. 72 = 222 + b2 15. Find the value of sin 62°, cos 60° and tan 79°. a. 0.8829, 0.5, 5.1445 b. 0.5, 0.8829, 5.1445 c. 5.1445, 0.5, 0.8829 d. 0.5, 0.5, 0.5 16. What is the solution to the system of equations shown? a. (0, 3) b. no solution c. infinite d. (0, 0) 17. A zoo has a total of 8 lions and tigers. The number of tigers is one less than twice the number of lions. Write a system of equations that represents the number of lions and tigers? a. L + T = 2 T=L-8 b. L - T = 8 T = 2L - 1 c. L + T = 8 T = 2L - 1 d. L + T = 8 T = 2L + 1 18. Solve the system of equations by substitution. y=x-5 y = -x + 1 a. (3, -2) b. (2, 3) c. (3, 2) d. (-2, 3) 19. Use the expression 16x to determine how many cups are in 7 gallons, where x represents the number of gallons. a. 80 cups b. 96 cups c. 112 cups d. 128 cups 20. Use the expression 2 + 6x to determine the weight in pounds of 9 bags of trash, where x represents the number of bags. a. 52 pounds b. 54 pounds c. 56 pounds d. 58 pounds 21. A system of linear equations can be solve by graphing, equality, substitution and a. adding b. quadratic c. symmetry d. elimination 22. What does x represent in this equation? 2x - x + 8= 10 a. 1 b. 2 c. 3 d. 4 23. In a linear system, you may have one solution, no solution and a. infinite solution b. null set c. two solutions d. zero b. (a + 5)(a - 5) c. (a - 5)(a - 5) d. (a + 5)(a - 5) 24. Factorize a2 - 25. a. (a + 5)(a + 5) 25. How is it called a pair of figures that have the same size and shape? a. congruent b. corresponding c. images d. similar 26. Which table represents the relation {(2, 5), (-7, -7), (-1, -2), (5, -1)}? a. b. c. d. 27. The graph of the cost per ride of the Rapid Rattle Coaster is shown below. According the graph, how much does it cost per ride? a. $4 b. $6 c.$8 d. $10 28. The amount by which the image grows or shrinks is called: a. axis b. center c. scale factor d. symmetry 29. If a < 0, then equation ax2 + bx + has a a. constant value b. maximum value c. minimum value d. positive value 30. A transformation in which a figure is made larger or smaller with respect to a fixed point is: a. angle of rotation b. center of rotation c. dilation d. similar figures c. 11 d. 10 31. If f(x) = 3x + 5, find f(2). a. 2f b. 8 32. Which ordered pair is not a point on the graph of y = -5x + 2? a. (-1, 6) b. (0, 2) c. (-2, 12) d. (2, -8) 33. The graph at the right shows Lanna’s total distance in miles for each day she is training for a marathon. What is her distance on day 10? a. 21 miles b. 27 miles c. 30 miles d. 33 miles 34. Which of the following represents a nonlinear function? a. y = 4x2 b. y = x c. y = -9x d. y = 8x + 10 35. What is f(-3) if f(x) = 1/3x? a. 3 b. 1 c. -1 d. -3 36. Graphs that represent situations that may not have numerical values are called? a. linear b. nonlinear c. quadratic d. qualitative 37. What is the domain of the relation {(-2, 4), (1, 3), (0, -4), (3, 2)}? a. { 0, 1, 2, 4} b. { -2, 0, 1, 3} c. { -4, -2, 2, 3} d. { -4, 2, 3, 4} 38. Which equation represents the graph below? a. y = x2 + 3 b. y = -x2 c. y = -3x2 d. y = -x2 +3 39. A student ticket cost $5.75 each, and adult ticket cost $8.50 each. Which equation can be used to find the total cost c of any number of adult tickets t? a. c = 8.5t b. t = 8.5c c. c = 5.75t d. t = 5.75c 40. The graph shows the amount of food Ian’s rabbits eat each week. Which equation can be used to find the number of pounds y eaten after any number of weeks x? a. y = 120x II. b. y = 60x c. y = 30x d. y = 15x Answer the next problems correctly answering what is the value for x and y. 41-50 (2 points each) Solve the next equations with the elimination method 41 and 42 3x + 4y = 52 5x + y = 30 43 and 44 -x – y = -4 2x + y = 2 45 and 46 6a + 6c = 4800 -6a – 4.5c =4500 Solve the next equations with the substitution method 47 and 48 2y−4x=2 y=−x+4 49 and 50 -x + y = 1 2x + y = -2 Answers 1. C 2. A 3. C 4. B 5. D 6. C 7. A 8. C 9. C 10. D 11. D 12. C 13. A 14. A 15. A 16. B 17. C 18. A 19. C 20. C 21. D 22. B 23. A 24. B 25. A 26. C 27. B 28. C 29. A 30. D 31. C 32. A 33. C 34. A 35. C 36. D 37. B 38. D 39. A 40. B Answers 1. C 2. D 3. D 4. D 5. D 6. C 7. A 8. B 9. A 10. D 11. A 12. C 13. C 14. A 15. B 16. A 17. B 18. D 19. B 20. C 21. C 22. D 23. A 24. C 25. B 26. B 27. B 28. A 29. A 30. D 31. D 32. D 33. B 34. B 35. C 36. A 37. D 38. D 39. B 40. B Exam topics: Square roots and real numbers Powers of 10 Like terms to solve equations and y intercept Linear equations Increase, decrease and frequency tables Analyze and solve systems Reflections and dilations Angles, lines and transversals Pythagorean Theorem Coordinate plane and volumes p. 25-51 p. 51-80 p. 81-145 p. 145-188 p. 189-250 p. 252-288 p. 303-344 p. 345-372 p. 387-400 p. 401-451