Adv. Math 1 Spring Semester Review
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1 Adv. Math 1 Spring Semester Review Name Module 2 Review For questions, 1-4, the same equation has been represented in many different ways below. Decide if each representation is: a) Slope-Intercept form b) Standard form c) Neither 1. y = 1 x 6 2. y 1 x = y + x = y = 1 (x 3) What is the x- and y-intercept of the equation from questions 1-4? 6. Find the x-intercept and y-intercept to the equation: 6x 2y = 12 x-intercept: y-intercept: 7. Graph all of the solutions to the inequality 4x - 2y Solve the following system of equations using substitution, and then check your work by graphing the system of equations y = 2x 3 { 4y + x = Solve using elimination. 10. A test has twenty questions worth 100 points. The 2x 3y = 4 test consists of True/False questions worth 3 points 3x 4y = 5 each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
2 Match each system on the left with the corresponding graph on the right. a. x + 2y = { 4x 2y = 4 b. x + 2y { 4x 2y 4 c. x + 2y { 4x 2y 4 d. x + 2y { 4x 2y 4 e. x + 2y { 4x 2y Skate Land charges a $50 flat fee for a birthday party rental and $4 for each person. Joann has no more than $100 to budget for her party. Write an inequality that models her situation and display it on the graph below. How many people can attend Joann s party?
3 x + y = Solve the following system of equations using 3 different methods:{ 3x + y = 1 Graphing: Substitution: Elimination: 18. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. Module 9Review For the set of data: A) Find the mean, median, and mode. B) Find the five number summary (min., Q1,Q2,Q3, max.). C) Create a box-and-whisker plot. D) Identify any outliers. 19.) 86, 39, 58, 42, 106, 39, 48, 45, 86, 91, 55, 78, 90, 92, 87
4 20. Describe the shape, center, and spread of the distribution. Module 6 Review For questions 21-22, use the diagram below. 21. Which of the following describes the transformation from ABC A B C. 22. Which of the following describes the transformation from A B C A B C. For questions 23-24, use the diagram below. 23. Which of the following describes the transformation from ABC A B C. 24. Which of the following describes the transformation from 40. Find the value of x. 25. Which quadrant will AB be in after the following transformation? (x, y) (x + 2, y 4) A B 26. The point P ( 6, 3) is reflected across the line y = x. What are the coordinates of P? 27. Find the sum of the measures of the interior angles of a 17-gon.
5 28. Given the points ( -2, 9) and (-5, 2) find the slope. 29. Given the points ( -2, -3) and (5, 1) find distance between the them. For 30-33, use the diagram below. 30. What is the name of the regular polygon above? 31. How many diagonals are there on the shape to the polygon? 32. How many lines of symmetry are there on the polygon? 33. List all angles of rotational symmetry? 34. If the point K = (-2, 6) and is rotated 90 clockwise 35. List two capital letters that have a vertical line of about the point (0,0), then K = symmetry. Module 8 Review 36. Explain what g(x) = f(x) + k means 37. If f(x) = 2x 7 and g(x) = f(x) 3, then g(x) = 38. If f(x) = 2(3) x and g(x) = f(x) + 5, then g(x) =. Find g(3) =
6 39. Complete the table: g(x) = f(x) 2, if f(x) = 2x 3 x f(x) g(x) 40. Prove WXYZ is a rectangle if W(-3,3), X(-1,2), Y(-4,-4) and Z(-6,-3). 41. Prove XYWZ is a parallelogram if X(1,5), Y(2,3), W(-1,-3), and Z(-2,-1). 42. Use the graph above to fill out the table below Translation Form Equation f(x) = g(x) = Slope intercept form equation f(x) = g(x) =
7 43. Hey, remember Mariah and Fernando training for the half marathon? Well, now they want to train for the full marathon. Mariah got a head start and ran 20 more laps than Fernando last week. On Saturday, they train together and the table below shows what Mariah and Fernando had run this past Saturday. Time (in minutes on Saturday) Fernando: Distance (in laps) Mariah: Distance (in laps) a) Complete the table for Fernando and Mariah. b) Write the equation for each runner in slope-intercept form. f(t)= m(t) = c) Write the translation form: f(t) = m(t) and m(t) = f(t) Review 44. Write an equation for the graph shown. 45. Rewrite the equation 20x 5y = 15 in slope-intercept form. 46. State whether the sequence is arithmetic, geometric 47. State whether the sequence is arithmetic, geometric or neither. or neither. 2, 4, 6, 8, 10, 2, 4, 8, 16, 32, 48. Identify the next two terms in the sequence. 49. Identify the next two terms in the sequence. 2, 4, 8, 16, 32, 32, 16, 8, 4, 2,
8 50. Find f(20) for f(n) = 2n Identify the rate of change. 52. Write the recursive formula for the sequence. 53. Write the recursive formula for the sequence. 2, 4, 6, 8, 10, 2, 4, 8, 16, 32, 54. Write the explicit formula for the sequence. 55. Write the explicit formula for the sequence. 2, 4, 6, 8, 10, 2, 4, 8, 16, 32, 56. Write the equation for the graph. 57. Write the equation for the graph Perform the indicated operations: A = [ ] B = [ ] C = [ 2 3] A + 2B 59. C A 60. Find B Find the Determinant of A
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