1. The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height?

Transcription

1 Final Exam Review 1. The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height? Number of DVDs Height (cm) n? a. h = 9n c. h = 2n b. h = 8n d. h = 2. Is the statement true or false? (ab)c = a(cb). a. true b. false 3. Which number line model can you use to simplify 6 + 4? a = 2 b = 10 c = 10 d = Which number line model can you use to simplify 6 + ( 5)? a. 6 + ( 5) = 11 b. 6 + ( 5) = 1 c. 6 + ( 5) = 1 d. 6 + ( 5) = 1 5. What is the value of when x = and y =? 6. Is x = 1 a solution of the equation 2 8x = 6? a. yes b. no 7. A boat builder wants to make a model of a schooner, a type of sailboat with at least two masts. The schooner is 34 meters in length and has a beam of 8 meters (the measure of the widest point of a ship). If the builder wants her model to be 1.2 meters in length, what would be the length of the beam of the model? a meters c meters b meters d meters

2 8. Which ordered pair is a solution of the equation? a. (10, 86) c. (6, 41) b. ( 4, 58) d. ( 6, 57) 9. The graph of is shown below. Which ordered pair is NOT a solution of the equation? What is the solution of the equation? b. 35 d Which equation is an identity? 12. Which equation has no solution? What is the solution of each equation? 13. no solution b. infinitely many solutions d. What inequality represents the verbal expression? less than a number n is less than 11 a < n c. 8 n < 11 b. n 8 < 11 d. 11 < 8 n Which number is a solution of the inequality? < b a. 18 b. 9 c. 7 d a. 8 b. 18 c. 2 d. 1 What are the solutions of the inequality? 17. all real numbers no solution

3 18. Suppose U = { 10, 6, 2, 0, 3, 5} is the universal set and T is the set { 10, 6, 0}. What is the complement of set T? a. { 2, 3, 5} c. { 6, 2, 0, 3, 5} b. { 10, 6, 0} d. {0, 3, 5} 19. How do you write and in interval notation? a. [ 6, 3] c. [ 6, 3) b. ( 6, 3) d. ( 6, 3] 20. What is the graph of or? a. b. c. d. 21. How do you write or as an inequality? a. or c. and b. or d. and 22. A new comedian is building a fan base. The table shows the number of people who attended his shows in the first, second, third and fourth month of his career. Which graph could represent the data shown in the table? Month Total Number of People The table shows the amount of money made by a summer blockbuster in each of the first four weeks of its theater release. Which graph could represent the data shown in the table? Week Money ($) 1 19,600, ,800, ,100, ,300, A hiker climbs up a steep bank and then rests for a minute. He then walks up a small hill and finally across a flat plateau. What sketch of a graph could represent the elevation of the hiker?

4 Any of the graphs could represent the situation, depending on the hiker s speed. 25. Which of the following represents the above relationship? a. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of the base. The equation for the perimeter is. b. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus the length of another side. The equation for the perimeter is. c. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus the length of the base. The equation for the perimeter is. d. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of another side. The equation for the perimeter is. 26. Suppose you know the perimeter of triangles. What would you do to find the perimeter of triangles? a. Add?? to the perimeter of triangles b. Add?? to the perimeter of triangles c. Add 12 to the perimeter of triangles d. Add 10 to the perimeter of triangles The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week. Number of Sports Teams Free Time (hours) Is the above relationship a linear function? a. yes b. no The table shows the total number of squares in each figure below. What is a pattern you can use to complete the table?

5 28. Which of the following equations represents the pattern above? 29. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this function? 30. The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that represents this function? 31. Write a function rule for the area, A, of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height is 14 cm? a. ; 672 cm c. ; 96 cm b. ; 48 cm d. ; 1344 cm 32. The function represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 5 minutes? a. 195 jumping jacks c. 144 jumping jacks b. 7 jumping jacks d. 234 jumping jacks 33. The function represents the number of light bulbs b(n) that are needed for n chandeliers. How many light bulbs are needed for 15 chandeliers? a. 90 light bulbs c. 96 light bulbs b. 2 light bulbs d. 80 light bulbs 34. You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function? a. The domain is. The range is. b. The domain is. The range is. c. The domain is. The range is. d. The domain is. The range is. Tell whether the sequence is arithmetic. If it is, what is the common difference? 35. 2, 7, 13, 20,... a. yes; 5 b. yes; 6 c. yes; 2 d. no Match the equation with its graph x 2y = 8 What type of relationship does the scatter plot show?

6 37. a. positive correlation b. negative correlation c. no correlation 38. a. positive correlation b. negative correlation c. no correlation 39. The scatter plot shows the number of mistakes a piano student makes during a recital versus the amount of time the student practiced for the recital. How many mistakes do you expect the student to make at the recital after 6 hours of practicing? a. 55 mistakes c. 63 mistakes b. 37 mistakes d. 45 mistakes How many solutions does the system have? 40. a. one solution c. infinitely many solutions b. two solutions d. no solution 41. A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a system of inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions. Simplify the expression. 42. a. 4 c What is the graph of the function? A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.

7 White-sided jackrabbits: Black-tailed jackrabbits: What polynomial models the total number of white-sided and black-tailed jackrabbits? 45. A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5x by 5x, how much of the lot will be left over to build bleachers on? Simplify the product using a table A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula for the surface area of a sphere. 48. What is? a c b d What is? a c b d The area of a rectangular garden is given by the trinomial x 2 + x 42. What are the possible dimensions of the rectangle? Use factoring. a. x 6 and x + 7 c. x 6 and x 7 b. x + 6 and x 7 d. x + 6 and x A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x+ 5.8x + 4.9, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? a m c m b m d m What method(s) would you choose to solve the equation? Explain your reasoning. 52. a. Square roots; there is no x-term. b. Quadratic formula, graphing; the equation

8 a. Square roots; there is no x-term. b. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. c. Factoring; the equation is easily factored. d. Quadratic formula, completing the square or graphing; the coefficient of x 2 -term is 1, but the equation cannot be factored. 53. You want to find how many students use public transportation. You interview every fifth teenager you see exiting a movie theater. a. random c. stratified b. systematic d. none of these How many real-number solutions does the equation have? 54. a. one solution c. no solutions b. two solutions d. infinitely many solutions 55. a. one solution c. no solutions b. two solutions d. infinitely many solutions 56. Graph the set of points. Which model is most appropriate for the set? (1, 20), (0, 10), (1, 5), (2, 2.5) a. c. quadratic linear b. d. quadratic exponential 57. Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A: Play B: a. The attendance was the same on days 4 and 13. The attendance at both plays on those days was 100 and 181 respectively. b. The attendance was the same on day 13. The attendance was 181 at both plays on that day. c. The attendance was never the same at both plays. d. The attendance was the same on day 4. The attendance was 100 at both plays on that day. What are the solutions of the system? 58.

9 a. (1, 1) and ( 3, 9) c. (1, 1) and (3, 3) b. (1, 3) and (3, 1) d. no solution What are the solutions of the system? Use a graphing calculator. 59. a. ( 6.39, 12.15) and ( 0.09, 3.33) b. ( 6.39, 3.07) and (0.09, 12.15) c. ( 6.39, 12.15) and (0.09, 3.07) d. no solution 60. The number of eagles observed along a certain river per day over a two week period is listed below. What is a frequency table that represents the data? The data below shows the average number of text messages a group of students send per day. What is a histogram that represents the data? The data below show the number of games won by a football team in each of the last 15 seasons. What is a histogram that represents the data? Is the histogram uniform, symmetric, or skewed? 63. a. symmetric b. uniform c. skewed 64. a. skewed b. uniform c. symmetric 65. Find x if the average of 20, 20, 19, 13, and x is 16. a. 8 c. 10 b. 9 d The line plots below show exam scores from two different driver s education classes. Which class has a greater mean score? Which class has a greater median score?

10 a. greater mean = PM class greater median = PM class b. greater mean = PM class greater median = AM class c. greater mean = AM class greater median = PM class d. greater mean = AM class greater median = AM class 67. The back-to-back stem-and-leaf plot below show exam scores from two different math classes. Which class has a greater mean score? Which class has a greater median score? Class A Class B Key: means 91 for Class A and 93 for Class B a. greater mean = class A greater median = class A b. greater mean = class B greater median = class B c. greater mean = class B greater median = class A d. greater mean = class A greater median = class B Is each data set qualitative or quantitative? 68. the numbers of hours spent commuting to work by the employees of a company a. qualitative b. quantitative Is each data set univariate or bivariate? 69. the number of hours surfing the web by students at your school a. univariate b. bivariate 70. A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 9 articles can be published this month. How many ways can the journal editor assemble 9 of the 14 articles for publication? a. 726,485,760 c. 2,002 b. 14 d What is the probability of rolling a sum of 5 on at least one of two rolls of a pair of number cubes?

11 72. Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 5 poems by Coleridge, 4 poems by Tennyson, and 3 poems by Lord Byron. What is the probability that you will be assigned a poem by Coleridge and then a poem by Lord Byron? Final Exam Review Answer Section 1. ANS: A PTS: 1 DIF: L3 REF: 1-1 Variables and Expressions OBJ: To write algebraic expressions NAT: CC A.SSE.1.a A.1.a A.3.b TOP: 1-1 Problem 5 Writing a Rule to Describe a Pattern KEY: algebraic expression 2. ANS: A PTS: 1 DIF: L4 REF: 1-4 Properties of Real Numbers OBJ: To identify and use properties of real numbers NAT: CC N.RN.3 N.1.d N.3.d N.5.f N.6.a A.3.d TOP: 1-4 Problem 4 Using Deductive Reasoning and Counterexamples KEY: deductive reasoning counterexample 3. ANS: A PTS: 1 DIF: L3 REF: 1-5 Adding and Subtracting Real Numbers OBJ: To find sums and differences of real numbers NAT: CC N.RN.3 N.1.d N.3.b N.3.c N.3.d A.3.c TOP: 1-5 Problem 1 Using Number Line Models KEY: opposites additive inverses 4. ANS: A PTS: 1 DIF: L3 REF: 1-5 Adding and Subtracting Real Numbers OBJ: To find sums and differences of real numbers NAT: CC N.RN.3 N.1.d N.3.b N.3.c N.3.d A.3.c TOP: 1-5 Problem 1 Using Number Line Models KEY: additive inverses opposites 5. ANS: A PTS: 1 DIF: L4 REF: 1-6 Multiplying and Dividing Real Numbers OBJ: To find products and quotients of real numbers NAT: CC N.RN.3 N.1.d N.3.b N.3.c N.3.d A.3.c TOP: 1-6 Problem 4 Dividing Fractions KEY: multiplicative inverse reciprocal 6. ANS: A PTS: 1 DIF: L3 REF: 1-8 An Introduction to Equations OBJ: To solve equations using tables and mental math NAT: CC A.CED.1 N.2.b A. 3.b TOP: 1-8 Problem 2 Identifying Solutions of an Equation KEY: solution of an equation 7. ANS: D PTS: 1 DIF: L3 REF: 1-8 An Introduction to Equations OBJ: To solve equations using tables and mental math NAT: CC A.CED.1 N.2.b A. 3.b TOP: 1-8 Problem 3 Writing an Equation KEY: equation solution of an equation 8. ANS: A PTS: 1 DIF: L3 REF: 1-9 Patterns, Equations, and Graphs OBJ: To use tables, equations, and graphs to describe relationships NAT: CC A.CED.2 CC A.REI.10 A.1.a TOP: 1-9 Problem 1 Identifying Solutions of a Two-Variable Equation

12 KEY: solution of an equation 9. ANS: D PTS: 1 DIF: L3 REF: 1-9 Patterns, Equations, and Graphs OBJ: To use tables, equations, and graphs to describe relationships NAT: CC A.CED.2 CC A.REI.10 A.1.a TOP: 1-9 Problem 2 Using a Table, an Equation, and a Graph KEY: graphing equations in two variables 10. ANS: D PTS: 1 DIF: L2 REF: 2-1 Solving One-Step Equations OBJ: To solve one-step equations in one variable NAT: CC A.CED.1 CC A.REI.3 A.4.a A.4.c TOP: 2-1 Problem 4 Solving an Equation Using Multiplication KEY: Multiplication Property of Equality equivalent equations isolate inverse operations 11. ANS: B PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: To identify equations that are identities or have no solution NAT: CC A.CED.1 CC A.REI.1 CC A.REI.3 A.4.a A.4.c TOP: 2-4 Problem 4 Identities and Equations With No Solution KEY: identity no solution 12. ANS: D PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: To identify equations that are identities or have no solution NAT: CC A.CED.1 CC A.REI.1 CC A.REI.3 A.4.a A.4.c TOP: 2-4 Problem 4 Identities and Equations With No Solution KEY: identity no solution 13. ANS: C PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both Sides OBJ: To identify equations that are identities or have no solution NAT: CC A.CED.1 CC A.REI.1 CC A.REI.3 A.4.a A.4.c TOP: 2-4 Problem 4 Identities and Equations With No Solution KEY: identity no solution 14. ANS: B PTS: 1 DIF: L3 REF: 3-1 Inequalities and Their Graphs OBJ: To write, graph, and identify solutions of inequalities NAT: CC A.REI.3 TOP: 3-1 Problem 1 Writing Inequalities KEY: solution of an inequality 15. ANS: D PTS: 1 DIF: L3 REF: 3-1 Inequalities and Their Graphs OBJ: To write, graph, and identify solutions of inequalities NAT: CC A.REI.3 TOP: 3-1 Problem 2 Identifying Solutions by Evaluating KEY: solution of an inequality 16. ANS: D PTS: 1 DIF: L3 REF: 3-1 Inequalities and Their Graphs OBJ: To write, graph, and identify solutions of inequalities NAT: CC A.REI.3 TOP: 3-1 Problem 2 Identifying Solutions by Evaluating KEY: solution of an inequality 17. ANS: D PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step Inequalities OBJ: To solve multi-step inequalities NAT: CC A.CED.1 CC A.REI.3 TOP: 3-4 Problem 5 Inequalities With Special Solutions 18. ANS: A PTS: 1 DIF: L2 REF: 3-5 Working With Sets OBJ: To find the complement of a set NAT: CC A.REI.3 TOP: 3-5 Problem 4 Finding the Complement of a Set KEY: complement of a set

13 universal set 19. ANS: C PTS: 1 DIF: L3 REF: 3-6 Compound Inequalities OBJ: To solve and graph inequalities containing the word and NAT: CC A.CED.1 CC A.REI.3 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality interval notation 20. ANS: C PTS: 1 DIF: L3 REF: 3-6 Compound Inequalities OBJ: To solve and graph inequalities containing the word or NAT: CC A.CED.1 CC A.REI.3 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality interval notation 21. ANS: A PTS: 1 DIF: L3 REF: 3-6 Compound Inequalities OBJ: To solve and graph inequalities containing the word or NAT: CC A.CED.1 CC A.REI.3 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality interval notation 22. ANS: C PTS: 1 DIF: L3 REF: 4-1 Using Graphs to Relate Two Quantities OBJ: To represent mathematical relationships using graphs NAT: CC F.IF.4 TOP: 4-1 Problem 2 Matching a Table and a Graph KEY: sketching a graph modeling a relationship 23. ANS: C PTS: 1 DIF: L3 REF: 4-1 Using Graphs to Relate Two Quantities OBJ: To represent mathematical relationships using graphs NAT: CC F.IF.4 TOP: 4-1 Problem 2 Matching a Table and a Graph KEY: sketching a graph modeling a relationship 24. ANS: A PTS: 1 DIF: L3 REF: 4-1 Using Graphs to Relate Two Quantities OBJ: To represent mathematical relationships using graphs NAT: CC F.IF.4 TOP: 4-1 Problem 3 Sketching a Graph KEY: sketching a graph modeling a relationship 25. ANS: D PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions OBJ: To identify and represent patterns that describe linear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.b A.1.e A.1.h TOP: 4-2 Problem 1 Representing a Geometric Relationship KEY: dependent variable independent variable function linear function 26. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions OBJ: To identify and represent patterns that describe linear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.b A.1.e A.1.h TOP: 4-2 Problem 1 Representing a Geometric Relationship KEY: dependent variable independent variable function linear function 27. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions OBJ: To identify and represent patterns that describe linear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.b A.1.e A.1.h TOP: 4-2 Problem 2 Representing a Linear Function KEY: dependent variable independent variable function linear function create equations in two variables 28. ANS: D PTS: 1 DIF: L3 REF: 4-3 Patterns and Nonlinear Functions OBJ: To identify and represent patterns that describe nonlinear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.e

14 TOP: 4-3 Problem 2 Representing Patterns and Nonlinear Functions KEY: nonlinear function 29. ANS: A PTS: 1 DIF: L3 REF: 4-3 Patterns and Nonlinear Functions OBJ: To identify and represent patterns that describe nonlinear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.e TOP: 4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function KEY: nonlinear function 30. ANS: D PTS: 1 DIF: L4 REF: 4-3 Patterns and Nonlinear Functions OBJ: To identify and represent patterns that describe nonlinear functions NAT: CC A.REI.10 CC F.IF.4 A.1.a A.1.e TOP: 4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function KEY: nonlinear function 31. ANS: A PTS: 1 DIF: L3 REF: 4-5 Writing a Function Rule OBJ: To write equations that represent functions NAT: CC N.Q.2 CC A.SSE.1.a CC A.CED.2 A.1.b TOP: 4-5 Problem 3 Writing a Nonlinear Function Rule KEY: create equations in two variables 32. ANS: A PTS: 1 DIF: L2 REF: 4-6 Formalizing Relations and Functions OBJ: To find domain and range and use function notation NAT: CC F.IF.1 CC F.IF.2 N.2.c A.1.b A.1.g A.1.i A.3.f TOP: 4-6 Problem 3 Evaluating a Function KEY: function notation 33. ANS: A PTS: 1 DIF: L2 REF: 4-6 Formalizing Relations and Functions OBJ: To find domain and range and use function notation NAT: CC F.IF.1 CC F.IF.2 N.2.c A.1.b A.1.g A.1.i A.3.f TOP: 4-6 Problem 3 Evaluating a Function KEY: function notation 34. ANS: B PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and Functions OBJ: To find domain and range and use function notation NAT: CC F.IF.1 CC F.IF.2 N.2.c A.1.b A.1.g A.1.i A.3.f TOP: 4-6 Problem 5 Identifying a Reasonable Domain and Range KEY: domain range function notation choosing the correct scale 35. ANS: D PTS: 1 DIF: L3 REF: 4-7 Sequences and Functions OBJ: To identify and extend patterns in sequences NAT: CC A.SSE.1.a CC A.SSE.1.b CC F.LE.2 CC F.IF.3 CC F.BF.1.a CC F.BF.2 CC F.IF.6 CC F.LE.1.b A.1.b TOP: 4-7 Problem 2 Identifying an Arithmetic Sequence KEY: sequence arithmetic sequence common difference 36. ANS: B PTS: 1 DIF: L3 REF: 5-5 Standard Form OBJ: To graph linear equations using intercepts NAT: CC N.Q.2 CC A.SSE.2 CC A.CED.2 CC F.IF.4 CC F.IF.7.a CC F.IF.9 CC F.BF.1.a CC F.LE.2 CC F.LE.5 A.2.a A.2.b TOP: 5-5 Problem 2 Graphing a Line Using Intercepts KEY: standard form of a linear equation 37. ANS: A PTS: 1 DIF: L3 REF: 5-7 Scatter Plots and Trend Lines OBJ: To write an equation of a trend line and of a line of best fit NAT: CC N.Q.1 CC F.LE.5 CC S.ID.6.a CC S.ID.6.c CC S.ID.7 CC S.ID.8 CC S.ID.9 D.1.c D.2.e D.5.d A.2.a A.2.b TOP: 5-7 Problem 1 Making a Scatter Plot and Describing

15 Its Correlation KEY: scatter plot positive correlation negative correlation 38. ANS: C PTS: 1 DIF: L3 REF: 5-7 Scatter Plots and Trend Lines OBJ: To write an equation of a trend line and of a line of best fit NAT: CC N.Q.1 CC F.LE.5 CC S.ID.6.a CC S.ID.6.c CC S.ID.7 CC S.ID.8 CC S.ID.9 D.1.c D.2.e D.5.d A.2.a A.2.b TOP: 5-7 Problem 1 Making a Scatter Plot and Describing Its Correlation KEY: scatter plot positive correlation negative correlation 39. ANS: A PTS: 1 DIF: L3 REF: 5-7 Scatter Plots and Trend Lines OBJ: To use a trend line and a line of best fit to make predictions NAT: CC N.Q.1 CC F.LE.5 CC S.ID.6 CC S.ID.6.a CC S.ID.6.c CC S.ID.7 CC S.ID.8 CC S.ID.9 D.1.c D.2.e D.5.d A.2.a A.2.b TOP: 5-7 Problem 2 Writing an Equation of a Trend Line KEY: scatter plot trend line 40. ANS: D PTS: 1 DIF: L3 REF: 6-3 Solving Systems Using Elimination OBJ: To solve systems by adding or subtracting to eliminate a variable NAT: CC A.REI.5 CC A.REI.6 A.4.d TOP: 6-3 Problem 5 Finding the Number of Solutions KEY: elimination method exact solution of a system of linear equations 41. ANS: A PTS: 1 DIF: L3 REF: 6-6 Systems of Linear Inequalities OBJ: To model real-world situations using systems of linear inequalities NAT: CC A.REI.12 A.4.d TOP: 6-6 Problem 3 Using a System of Inequalities KEY: system of linear inequalities solution of a system of linear inequalities 42. ANS: A PTS: 1 DIF: L3 REF: 7-2 Multiplying Powers With the Same Base OBJ: To multiply powers with the same base NAT: CC N.RN.1 N.1.d N.1.f N.3.a A.3.c A.3.h TOP: 7-2 Problem 6 Simplifying Expressions With Rational Exponents KEY: rational exponents 43. ANS: D PTS: 1 DIF: L4 REF: 7-6 Exponential Functions OBJ: To evaluate and graph exponential functions NAT: CC A.CED.2 CC A.REI.11 CC F.IF.4 CC F.IF.5 CC F.IF.7.e CC F.IF.9 CC F.LE.2 A. 1.b A.1.e A.1.h A.2.h A.3.hTOP: 7-6 Problem 3 Graphing an Exponential Function KEY: exponential function 44. ANS: C PTS: 1 DIF: L4 REF: 8-1 Adding and Subtracting Polynomials OBJ: To classify, add, and subtract polynomials NAT: CC A.APR.1 A.3.c A. 3.e TOP: 8-1 Problem 4 Adding Polynomials KEY: polynomial trinomial standard form of a polynomial 45. ANS: B PTS: 1 DIF: L3 REF: 8-2 Multiplying and Factoring OBJ: To factor a monomial from a polynomial NAT: CC A.APR.1 N.5.c A. 3.c A.3.e TOP: 8-2 Problem 4 Factoring a Polynomial Model 46. ANS: A PTS: 1 DIF: L3 REF: 8-3 Multiplying Binomials OBJ: To multiply two binomials or a binomial by a trinomial NAT: CC A.APR.1 A.3.e TOP: 8-3 Problem 2 Using a Table

16 KEY: multiplying binomials 47. ANS: A PTS: 1 DIF: L3 REF: 8-3 Multiplying Binomials OBJ: To multiply two binomials or a binomial by a trinomial NAT: CC A.APR.1 A.3.e TOP: 8-3 Problem 4 Applying Multiplication of Binomials KEY: multiplying binomials 48. ANS: B PTS: 1 DIF: L3 REF: 8-4 Multiplying Special Cases OBJ: To find the square of a binomial and to find the product of a sum and difference NAT: CC A.APR.1 A.3.e TOP: 8-4 Problem 5 Using Mental Math 49. ANS: D PTS: 1 DIF: L3 REF: 8-4 Multiplying Special Cases OBJ: To find the square of a binomial and to find the product of a sum and difference NAT: CC A.APR.1 A.3.e TOP: 8-4 Problem 5 Using Mental Math 50. ANS: A PTS: 1 DIF: L3 REF: 8-5 Factoring x^2 + bx + c OBJ: To factor trinomials of the form x^2 + bx + c NAT: CC A.SSE.1.a N.5.c TOP: 8-5 Problem 4 Applying Factoring Trinomials 51. ANS: A PTS: 1 DIF: L3 REF: 9-6 The Quadratic Formula and the Discriminant OBJ: To solve quadratic equations using the quadratic formula NAT: CC N.Q.3 CC A.CED.1 CC A.REI.4.a CC A.REI.4.b A.4.a TOP: 9-6 Problem 2 Finding Approximate Solutions KEY: quadratic formula 52. ANS: D PTS: 1 DIF: L2 REF: 9-6 The Quadratic Formula and the Discriminant OBJ: To solve quadratic equations using the quadratic formula NAT: CC N.Q.3 CC A.CED.1 CC A.REI.4.a CC A.REI.4.b A.4.a TOP: 9-6 Problem 3 Choosing an Appropriate Method KEY: quadratic formula 53. ANS: B PTS: 1 DIF: L3 REF: 12-5 Samples and Surveys OBJ: To classify data and analyze samples and surveys NAT: CC S.IC.3 D.1.a D.1.c D.3.a D.3.b D.3.d TOP: 12-5 Problem 3 Choosing a Sample KEY: population sample 54. ANS: B PTS: 1 DIF: L2 REF: 9-6 The Quadratic Formula and the Discriminant OBJ: To find the number of solutions of a quadratic equation NAT: CC N.Q.3 CC A.CED.1 CC A.REI.4.a CC A.REI.4.b A.4.a TOP: 9-6 Problem 4 Using the Discriminant KEY: discriminant 55. ANS: C PTS: 1 DIF: L2 REF: 9-6 The Quadratic Formula and the Discriminant OBJ: To find the number of solutions of a quadratic equation NAT: CC N.Q.3 CC A.CED.1 CC A.REI.4.a CC A.REI.4.b A.4.a TOP: 9-6 Problem 4 Using the Discriminant KEY: discriminant 56. ANS: D PTS: 1 DIF: L2 REF: 9-7 Linear, Quadratic, and Exponential Models OBJ: To choose a linear, quadratic, or exponential model for data NAT: CC F.IF.4 CC F.BF.1.b CC F.LE.1.a CC F.LE.2 CC F.LE.3 CC S.ID.6.a A.2.f TOP: 9-7 Problem 1 Choosing a Model by Graphing KEY: choosing viable modeling options 57. ANS: A PTS: 1 DIF: L4 REF: 9-8 Systems of Linear and Quadratic Equations OBJ: To solve systems of linear and quadratic equations NAT: CC A.CED.3 CC A.REI.7 CC A.REI.11 A.4.c A.4.d TOP: 9-8 Problem 2 Using

17 Elimination 58. ANS: D PTS: 1 DIF: L3 REF: 9-8 Systems of Linear and Quadratic Equations OBJ: To solve systems of linear and quadratic equations NAT: CC A.CED.3 CC A.REI.7 CC A.REI.11 A.4.c A.4.d TOP: 9-8 Problem 3 Using Substitution 59. ANS: C PTS: 1 DIF: L3 REF: 9-8 Systems of Linear and Quadratic Equations OBJ: To solve systems of linear and quadratic equations NAT: CC A.CED.3 CC A.REI.7 CC A.REI.11 A.4.c A.4.d TOP: 9-8 Problem 4 Solving With a Graphing Calculator KEY: find approximate solutions using graphing technology 60. ANS: B PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: To make and interpret frequency tables and histograms NAT: CC N.Q.1 CC S.ID.1 D.1.a D.1.b D.1.c TOP: 12-2 Problem 1 Making a Frequency Table KEY: frequency frequency table 61. ANS: A PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: To make and interpret frequency tables and histograms NAT: CC N.Q.1 CC S.ID.1 D.1.a D.1.b D.1.c TOP: 12-2 Problem 2 Making a Histogram KEY: histogram frequency frequency table 62. ANS: A PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: To make and interpret frequency tables and histograms NAT: CC N.Q.1 CC S.ID.1 D.1.a D.1.b D.1.c TOP: 12-2 Problem 2 Making a Histogram KEY: histogram frequency frequency table 63. ANS: C PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: To make and interpret frequency tables and histograms NAT: CC N.Q.1 CC S.ID.1 D.1.a D.1.b D.1.c TOP: 12-2 Problem 3 Interpreting a Histogram KEY: histogram 64. ANS: C PTS: 1 DIF: L3 REF: 12-2 Frequency and Histograms OBJ: To make and interpret frequency tables and histograms NAT: CC N.Q.1 CC S.ID.1 D.1.a D.1.b D.1.c TOP: 12-2 Problem 3 Interpreting a Histogram KEY: histogram 65. ANS: A PTS: 1 DIF: L3 REF: 12-3 Measures of Central Tendency and Dispersion OBJ: To find mean, median, mode, and range NAT: CC N.Q.2 CC S.ID.2 CC S.ID.3 D.1.a D.1.c D.2.a D.2.b D.2.c TOP: 12-3 Problem 2 Finding a Data Value KEY: mean measure of central tendency 66. ANS: D PTS: 1 DIF: L3 REF: 12-3 Measures of Central Tendency and Dispersion OBJ: To find mean, median, mode, and range NAT: CC N.Q.2 CC S.ID.2 CC S.ID.3 D.1.a D.1.c D.2.a D.2.b D.2.c TOP: 12-3 Problem 5 Comparing Measures of Central Tendency KEY: mean median mode range line plot 67. ANS: B PTS: 1 DIF: L4 REF: 12-3 Measures of Central Tendency and Dispersion OBJ: To find mean, median, mode, and range

18 NAT: CC N.Q.2 CC S.ID.2 CC S.ID.3 D.1.a D.1.c D.2.a D.2.b D.2.c TOP: 12-3 Problem 5 Comparing Measures of Central Tendency KEY: mean median mode range back-to-back stem-and-leaf plot 68. ANS: B PTS: 1 DIF: L3 REF: 12-5 Samples and Surveys OBJ: To classify data and analyze samples and surveys NAT: CC S.IC.3 D.1.a D.1.c D.3.a D.3.b D.3.d TOP: 12-5 Problem 1 Classifying Data KEY: quantitative qualitative 69. ANS: A PTS: 1 DIF: L3 REF: 12-5 Samples and Surveys OBJ: To classify data and analyze samples and surveys NAT: CC S.IC.3 D.1.a D.1.c D.3.a D.3.b D.3.d TOP: 12-5 Problem 2 Identifying Types of Data KEY: univariate bivariate 70. ANS: A PTS: 1 DIF: L3 REF: 12-6 Permutations and Combinations OBJ: To find permutations and combinations NAT: CC S.CP.9 D.4.e D.4.j TOP: 12-6 Problem 3 Using Permutation NotationKEY: permutation n factorial 71. ANS: D PTS: 1 DIF: L4 REF: 12-8 Probability of Compound Events OBJ: To find probabilities of mutually exclusive and overlapping events NAT: CC S.CP.7 CC S.CP.8 D.4.a D.4.c D.4.h D.4.j TOP: 12-8 Problem 2 Finding the Probability of Independent Events KEY: independent events 72. ANS: C PTS: 1 DIF: L3 REF: 12-8 Probability of Compound Events OBJ: To find probabilities of independent and dependent events NAT: CC S.CP.7 CC S.CP.8 D.4.a D.4.c D.4.h D.4.j TOP: 12-8 Problem 5 Finding the Probability of a Compound Event KEY: compound events