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Chapter 1 1 Mark started out by walking up a hill for 5 minutes
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the story with the correct figure. 1) The height of an animal as a function of time. 1) A) B) C) D) […]
Chapter 1 2 Simplify the expression using the products to powers rule
Add as indicated. 61) –8.5 + (–2.1) 61) A) 6.4 B) –10.6 C) –6.4 D) 10.6 Multiply as indicated. 62) 2(–1)(9)(–9) 62) A) 162 B) 2 C) 83 D) –162 Answer: A Explanation: A) B) C) D) Solve the equation […]
Chapter 1 3 It is known that one-fourth of all aluminum cans distributed
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. 135) During which two hour period did the temperature increase the most? 135) A) 10 a.m. to 12 p.m. B) 9 a.m. to 11 a.m. C) […]
Chapter 1 4 He puts x dollars in a safe government-insured certificate
Solve the problem. 211) After a 14% price reduction, a boat sold for $21,500. What was the boat’s price before the reduction? (Round to the nearest cent, if necessary.) 211) A) $24,510.00 B) $153,571.43 C) $3010.00 D) $25,000 212) Paul […]
Chapter 1 5 Use the indicated property to write an algebraic expression equivalent
Use the order of operations to simplify the expression. 294) 16 –72+ 3 ·17 294) A) 6 B) 26 C) 16 –751 D) 5 Use the five–step strategy for solving word problems. 295) After a 16% price reduction, a boat […]
Chapter 1 6 A bookcase is to be constructed as shown in the figure below
Solve the problem. 364) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is used for the […]
Chapter 10 1The arch beneath a bridge is semi-elliptical, a one-way roadway passes
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the equation to its graph. 1) x =(y + 1)2+ 4 1) A) B) C) D) Answer: D Explanation: A) B) C) […]
Chapter 10 2 A local university is building a new arena to hold basketball games
A) hyperbola B) ellipse C) parabola D) circle Find the vertices of the hyperbola with the given equation. 36) x2 81 –y2 1= 1 36) A) (–1, 0), (1, 0) B) (–9, 0), (9, 0) C) (0, –9), (0, 9) […]
Chapter 10 3 The Sum The Two Numbers Find The
A) circle B) ellipse C) hyperbola D) parabola Sketch the ellipse for the equation. 83) 9(x – 1)2+(y + 2)2=9 83) 41 Answer: C Explanation: A) B) C) D) A) B) C) D) Find the coordinates of the vertex for […]
Chapter 10 4 The arch beneath a bridge is semi-elliptical, a one-way roadway
120) (x +5)2+(y +4)2=25 120) A) center (–5, 4), r =5 B) center (–5, –4), r =5 C) center (5, 4), r =5 D) center (5, –4), r =5 Answer: B Explanation: A) B) C) D) 61 Solve the problem. […]
Chapter 10 5 Let x represent one number and let y represent the other number
A) x2+(y – 7)2=1 center (0, 7), r =1 B) (x – 7)2+y2=1 center (7, 0), r =1 C) (x + 7)2+y2=1 center (–7, 0), r =1 D) x2+(y + 7)2=1 center (0, –7), r =1 Solve the system by […]
Chapter 10 6 A satellite following the hyperbolic path shown in the picture turns
177) 4×2+9y2=36 177) A) B) C) D) Answer: B Explanation: A) B) C) D) 92 Solve the system by the addition method. 178) y =x2+ 10 y = – x2+ 12 178) A) {(1, 11), (–1, 11)} B) {(11, 1), […]
Chapter 11 1 Determine The Difference Cost Between Inoculating 85
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Complete the following: (a) Use the Leading Coefficient Test to determine the graph’s end behavior. (b) Find the x–intercepts. State whether the […]
Chapter 11 2 Use the Rational Zero Theorem to list all possible rational zeros
41) f(x) =9×2–x4 41) A) B) C) D) Answer: D Explanation: A) B) C) D) 21 Find the horizontal asymptote, if any, of the graph of the rational function. 42) h(x) =–5x + 6 4x + 6 42) A) y […]
Chapter 11 3 Use The Graph Solve The Polynomial Equation
C) D) Use the Factor Theorem to solve the equation. 89) Solve the equation x3+ 3×2– 4x – 12 = 0 given that 2 is a zero of f(x) =x3+ 3×2– 4x – 12. 89) A) {–3, –2, 2} B) […]
Chapter 11 4 A Falls The Left And Rises The
Solve the problem. 117) The graph of f(x) =12×3– 35×2+24x –4 is shown in the figure. a. Based on the graph of f, find the root of the equation 12×3– 35×2+24x –4= 0 that is an integer. b. Use synthetic […]
Chapter 12 1 Does the problem involve permutations or combinations
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use mathematical induction to prove that the statement is true for every positive integer n. 1) 1 ·4+ 2 ·4+ 3 ·4+ […]
Chapter 12 2 What is the probability of rolling a number less than 2
Find the probability. 71) A 6–sided die is rolled. What is the probability of rolling a number less than 2? 71) A) 1 3 B) 1 6 C) 1 9 D) 5 6 Use the formula for the sum of […]
Chapter 12 3 He increases his jogging time by 5 minutes each week
Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence. 149) 22, 13 , 4, –5, . . . 149) A) […]
Chapter 12 4 in how many ways can Susan arrange 8 books into 5 slots on her bookshelf
Solve the problem. 230) In how many ways can Susan arrange 8 books into 5 slots on her bookshelf? 230) A) 6720 B) 672 C) 336 D) 112 Find the probability. 231) Two 6–sided dice are rolled. What is the […]
Chapter 12 5 Use of the internet for shopping is increasing dramatically
Find the common difference for the arithmetic sequence. 294) 0, –2, –4, –6, . . . 294) A) –2 B) 6 C) –4 D) –6 Write the first four terms of the sequence whose general term is given. 295) an=5 […]
Chapter 2 1 Write the point-slope form of the line satisfying the conditions
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated function value. 1) f(x) = x – 4, g(x) = x + 2 Find (f + g)(–3). 1) A) –12 […]
Chapter 2 2 people’s charitable contributions have steadily increased over
A) g shifts the graph of f vertically up 4units B) g shifts the graph of f vertically down 4units C) g shifts the graph of f vertically down 4units D) g shifts the graph of f vertically up 4units […]
Chapter 2 3 find the slope of the line that goes through the given points
Find the domain of the function. 85) f(x) =1 x + 7 85) A) ( , ) B) ( , –7) or (–7, ) C) (–7, ) D) ( , 0) or (0, ) Solve the problem. 86) Linda needs […]
Chapter 2 4 The Following Bar Graph Shows The Average
Use the vertical line test to determine whether or not the graph is a graph of a function. 134) 134) A) function B) not a function The graph below shows the percentage of students enrolled in the College of Engineering […]
Chapter 2 5 Find the slope then describe what it means in terms of the rate of
A) B) C) D) Answer: B Explanation: A) B) C) D) 81 Use the graph to identify domain and range. 179) 179) A) domain: ( , ) range: ( , ) B) domain: (0, ) range: ( , ) C) […]
Chapter 2 6 the slope-intercept form of the equation in function notation
Use the graph of f to solve. 213) Find f(–2) 213) A) 0.4 B) –4.5 C) 4.5 D) –0.4 Find the slope of the line that goes through the given points. 214) (–7, –3), (–7, –9) 214) A) 0 B) […]
Chapter 3 1 An electronics company kept comparative statistics on two products
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) An electronics company kept comparative statistics on two products, A and B. For the years 2003 to 2011, the […]
Chapter 3 2 If there is no solution or if the system’s equations are dependent
Solve the problem. 70) Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) =3000x +91,000 R(x) =10,000x 70) A) 6 units B) 13 units C) […]
Chapter 3 3 An office manager is buying used filing cabinets
Solve the problem. 136) The three points (x1, y1), (x2, y2), and (x3, y3) are collinear if x1y11 x2y21 x3y31 = 0. Are the points (–1, –3), (0, 10), and (–3, –27) collinear? 136) A) Yes B) No Solve the […]
Chapter 4 1 A company is planning to produce and sell a new video
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and graph the solution set on a number line. 1) |5x – 9| – 4 >1 1) A) 4 5, 14 5 […]
Chapter 4 2 Each Large File Cabinet Costs 8 Takes
Solve. 36) When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.40. After that, each additional minute or portion of a minute of that call costs $0.50. Use an inequality […]
Chapter 4 3 Except For The Empty Set Express Thesolution
Solve. 75) Using data from 2010–2012, the annual number of cars sold at a certain dealership can be modeled by the formula y =3x +4, where y is the number of cars, in thousands, sold x years after 2010. According […]
Chapter 4 4 Mrs. White wants to crochet hats and afghans for a church
Solve and graph the solution set on a number line. Express the solution set in both set–builder and interval notations. 115) |x – 2| < 0 115) A) (–2, 2) B) C) (–2, ) D) (–, 2) Find the […]
Chapter 4 5 The equation that represents the proper traffic control and emergency
C) D) Solve. 143) The equation that represents the proper traffic control and emergency vehicle response availability in a small city is 2P + 3F 23, where P is the number of police cars on active duty and F […]
Chapter 5 1 Assume all variable exponents represent whole numbers.
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function […]
Chapter 5 2 Find the area of the large rectangle below in two ways
Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. 71) 21x5y +15xy3 71) A) 3x(7x4y +5y3) B) xy(21×4+15y2) C) 3y(7×5+5xy2) D) 3xy(7×4+5y2) Factor any difference of two squares, or state that the polynomial is […]
Chapter 5 3 The floor of a rectangular storage room is divided into two
Add the polynomials. Assume all variable exponents represent whole numbers. 162) (2y2n – 3yn+ 6) + (7y2n + 9yn+ 9) 162) A) 9y2n + 6yn+ 15 B) 9y4n + 6y2n + 15 C) 30y3n D) 13y2n + 11yn+ 6 Factor […]
Chapter 5 4 What does this mean about what will eventually happen to the elk population
Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. 249) (9an+ 13)(9an– 13) 249) A) 81an– 169 B) 81a2n – 169 C) 81a2n + 234an– 169 D) […]
Chapter 5 5 As its coefficients make the function difficult tocompute by hand
Factor the trinomial, or state that the trinomial is prime. 339) x2+ 6x – 27 339) A) (x + 9)(x – 3) B) (x – 9)(x + 1) C) prime D) (x – 9)(x + 3) Factor the trinomial by […]
Chapter 5 6 Factor the polynomial using the greatest common binomial factor
Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers. 389) (5xy2+10x)(5xy2–10x) 389) A) 10x2y4–20×2 B) 25x2y4–100×2 C) 10x2y4–100x2y4–20×2 D) 25x2y4–100x2y4–100×2 Use the FOIL method to multiply the […]
Chapter 6 1 The Remainder Zero 2answer D explanation b The Remainder
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The rational function f(x) =400 + 5x x models the cost, f(x), in dollars, to produce x bobble–head figures. The graph is show. […]
Chapter 6 2 He then returns home at the same speed but takes a different route
Add. Simplify the result, if possible. 64) x2– 6x x – 4 +8 x – 4 64) A) x + 2 B) x – 2 C) x2– 6x + 8 x – 4 D) x – 4 Divide. 65) (25×3+ […]
Chapter 6 3 the centrifugal acceleration passengers feel while the car is turning is inversely
Solve the problem. 136) In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 miles per hour, while Car B is traveling at 40 miles per hour. How long will it take for […]
Chapter 6 4 The distance that an object falls when it is dropped is directly
Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation. 203) 4×3+ 23×2+ 31x + 12 = 0; –4 203) A) The remainder is […]
Chapter 7 1 the principal square root of this difference is equal to the number decreased by
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain of the square root function. Then use the domain to choose the correct graph of the function. 1) f(x) =8x […]
Chapter 7 2 You will need to simplify terms to identify like radicals
Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers. 74) x5/2 x–2/3 x–1/7 74) A) x83/42 B) 1 x83/42 C) x71/42 D) 1 x71/42 Divide and simplify to the form a + bi. […]
Chapter 7 3 Rewrite the expression with a positive rational exponent
Rationalize the denominator and simplify. 163) 1 33 163) A) 39 3 B) 333 C) 33 3 D) 33 9 Find the perimeter or area of the figure as indicated. Express your answer in simplified radical form. 164) Find the […]
Chapter 7 4 Assume That All Variables Represent Positive Real
Solve the equation. 248) 3x – 2 +11 + x = – 1 248) A) {5} B) {0} C) –5 2 D) Solve the problem. 249) The formula v =20L can be used to estimate the speed of a […]
Chapter 7 5 If rational exponents appear after simplifying, write the answer
Solve the formula for the specified variable. 314) r =3V h for h 314) A) h = r2 3V B) h =3V r2 C) h =3V r D) h = V r2 Use rational exponents to simplify the radical. If […]
Chapter 8 1 A rain gutter is made from sheets of aluminum that are
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the graph with its function using the x–intercepts. 1) 1) A) f(x) =x1/3 +8×1/6 –9 B) f(x) =x1/3 –8×1/6 +9 C) f(x) […]
Chapter 8 2 How many units must be produced so that the average cost of producing
Use the quadratic formula to solve the equation. 49) x2– 14x + 74 = 0 49) A) {12, 2} B) {7 ±25i} C) {7 +5i} D) {7 ±5i} Solve the polynomial inequality and graph the solution set on a number […]
Chapter 8 3 You have 116 feet of fencing to enclose a rectangular region
Solve the problem. 114) You have 116 feet of fencing to enclose a rectangular region. What is the maximum area? 114) A) 13,456 sq ft B) 837 sq ft C) 841 sq ft D) 3364 sq ft Solve the equation […]
Chapter 8 4 After How Many Seconds Does The Ball
Solve the polynomial inequality and graph the solution set on a number line. 169) x3+ 4×2+ 8x + 15 0 169) A) ( , –3] [5, ) B) [–3, ) C) ( , –3] [1, 5] D) […]
Chapter 8 5 April shoots an arrow upward into the air at a speed of 64 feet
Use the quadratic formula to solve the equation. 234) 9×2+ 5x + 8 = 0 234) A) –5 18 ± i 263 18 B) –5±263 18 C) 5 18 ± i 263 18 D) 5±263 18 Solve the equation by […]
Chapter 8 6 Determine whether the given quadratic function has a minimum
Solve the formula for the specified variable. Assume all variables represent nonnegative numbers. If possible, simplify radicals and rationalize denominators. 272) F = Gm1m2 d2 for d 272) A) d = Gm1m2F F B) d = Gm1m2 2F C) d […]
Chapter 9 1 throws a basketball player can make consecutively during practice as a function of time
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of an exponential function is given. Select the function for the graph from the functions listed. 1) 1) A) f(x) =4x […]
Chapter 9 2 On the decibel scale, the loudness of a sound, in decibels,
Write the equation in its equivalent exponential form. 61) log464 = x 61) A) 64x=4 B) 4x=64 C) x4=64 D) 644= x Provide an appropriate response. 62) On the decibel scale, the loudness of a sound, in decibels, is given […]
Chapter 9 3 How long will it take forthis country’s population to double
Solve the problem. 125) The function A =A0e–0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 800 […]
Chapter 9 4 where x is the number of years since the material was put into the vault
A) B) C) D) Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 188) 1 2log3 x +log3 y 188) A) log3 x y […]
Chapter 9 5 Horizontal Line Intersects The Graph More Than
Find the inverse of the one–to–one function. 225) f(x) = x + 6 225) A) f–1(x) = x – 6 B) f–1(x) = – 6x C) f–1(x) =6x D) f–1(x) =x 6 Use common logarithms or natural logarithms and a […]