Archives: Quiz
Chapter 5 5 Mrs. White wants to crochet hats and afghans for a church
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine […]
Chapter 5 4 Twice the number of two- point field goals the player made
C) D) Solve the system of equations. 137) x – y + z = – 7 x + y + z =1 x + y – z =9 137) A) {(1, 4, –4)} B) {(4, –4, 1)} C) {(1, –4, […]
Chapter 5 3 Solve The System The Method Your Choice
Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 92) x 3+y 6= 1 x 4–y 8= 0 92) A) 3 […]
Chapter 5 2 An- Mei owns a business making and selling jackets
A) B) C) D) Solve the system by the addition method. 50) y =x2+ 6 y = – x2+ 10 50) A) {( 2, 8), ( 2, –8), (–2, 8), (–2, –8)} B) {( 2, 8), ( 2, –8)} C) […]
Chapter 5 1 Let Represent The number Sold Out Performances And
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the partial fraction decomposition of the rational expression. 1) x2– 111 x4–x2– 72 1) A) 1 x + 3 –1 x – […]
Chapter 4 4 the power gain G, in decibels, for an amplifier
Solve. 170) The function A =A0e–0.01155x 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 700 pounds of […]
Chapter 4 3 The population of a certain country is growing at a rate
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. 117) log 53x 117) A) log 53+log 5x B) 1 2log 53x C) log 53+1 2log 5x D) […]
Chapter 4 2 Use properties of logarithms to condense the logarithmic
55) Use the graph of log 5x to obtain the graph of f(x) =2log 5x. 55) A) B) C) D) Answer: D Explanation: A) B) C) D) 21 56) Use the graph of f(x) =ex to obtain the graph of […]
Chapter 4 1 What annual rate of return will he need to get in order
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) =3x+ […]
Chapter 3 4 If the force acting on an object stays the same
Solve. 150) If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 28 kilograms accelerates at a rate of 6 meters […]
Chapter 3 3 This data can be approximated using the third- degree polynomial
C) D) Graph the rational function. 95) f(x) =6 x2+4x +4 95) A) B) 41 Answer: C Explanation: A) B) C) D) C) D) Use Descartes’s Rule of Signs to determine the possible number of positive and negative real zeros […]
Chapter 3 2 What does this mean about what will eventually happen
Divide using synthetic division. 41) x5+x3– 5 x – 2 41) A) x4+ 2×3+ 5×2+ 10x + 20 +35 x – 2 B) x4+ 3×2+1 x – 2 C) x4+ 2×3+ 4×2+ 9x + 18 +31 x – 2 D) […]
Chapter 3 1 What The Maximum Height The Arrow a
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 8 4 What is the probability that the arrow will land on an odd
Find the probability. 208) What is the probability that the arrow will land on an odd number? 208) A) 3 5 B) 0 C) 1 D) 2 5 Find the term indicated in the expansion. 209) (3x + 5)5; 5th […]
Chapter 2 6 Write the standard form of the equation of the circle
Identify the intervals where the function is changing as requested. 190) Constant 190) A) (2, ) B) (1, 2) C) (–1, 1) D) (–2, –1) Begin by graphing the standard cubic function f(x) =x3. Then use transformations of this graph […]
Chapter 8 3 What is the probability of rolling a number that is even
Solve the problem. Round to the nearest hundredth of a percent if needed. 157) In 1999 the stock market took big swings up and down. A survey of 1000 adult investors asked how often they tracked their portfolio. The table […]
Chapter 2 5 Let The Cost Making Call Lasting Minutes
161) h(x) =(x + 2)3+ 5 161) A) B) C) D) Answer: D Explanation: A) B) C) D) 81 Use the graph of f to draw the graph of its inverse function. 162) 162) A) B) Answer: A Explanation: A) […]
Chapter 8 2 How Many Possible choices For Meal Are There
Evaluate the expression. 75) 4C2·4C1 16C13 75) A) 9 14 B) 3 70 C) 1 70 D) 3 35 D) Solve the problem. 76) The bar graph below shows a company’s yearly profits from 1991 to 1999. Let an […]
Chapter 2 4 Does the graph represent a function that has an inverse
122) –1 2x + y –4= 0 122) A) intercepts: (0, 4), (–8, 0) B) intercepts: (0, 4), (–4, 0) C) intercepts: (0, 4), (8, 0) D) intercepts: (0, –8), (8, 0) Answer: A Explanation: A) B) C) D) 61 […]
Chapter 8 1 A statement Sn about the positive integers is given
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+1 2+1 4+ . . . […]
Chapter 2 3 The average value of a certain type of automobile was $14,640
C) D) Find the domain of the indicated combined function. 84) Find the domain of (fg)(x) when f(x) =5x +3 and g(x) =3x –7. 84) A) Domain: [0, ) B) Domain: (–, ) C) Domain: –7 3, D) Domain: […]
Chapter 7 4 An experimental model for a suspension bridge is built
Solve the problem. 106) An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a […]
Chapter 2 2 but that no more than 641 units can be sold at that price
Use the given conditions to write an equation for the line in slope–intercept form. 45) Slope =4 5, passing through (2, 7) 45) A) y = mx +27 5 B) y =4 5x –27 5 C) y =4 5x + […]
Chapter 7 3 Satellite Following The Hyperbolic Path Shown
A) B) C) D) Is the relation a function? 77) y2– 10y – x + 24 = 0 77) A) Yes B) No Answer: B Explanation: A) B) Find the standard form of the equation of the ellipse satisfying the […]
Chapter 2 1 What is the charge for using 300 kilowatts in one month
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) An electric company has the following rate schedule for electricity usage in single–family residences: Monthly service charge $4.93 […]
Chapter 7 2 The parabola is positioned in a rectangular coordinate
39) 36y2–4×2=144 39) A) Asymptotes: y = ± 1 3x B) Asymptotes: y = ± 1 3x C) Asymptotes: y = ± 3x D) Asymptotes: y = ± 3x Graph the parabola with the given equation. 21 Answer: B Explanation: […]
Chapter 1 5 The formula for converting Fahrenheit temperature
Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line. 203) x –5 20 x –4 24 +1 120 203) A) (–, 11] B) (11, ) […]
Chapter 7 1 The Width of The Roadway Feet And The
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the equation to the graph. 1) y2 4–x2 9= 1 1) A) B) C) D) Answer: B Explanation: A) B) C) D) […]
Chapter 1 4 At what time was the temperature the highest
Solve the absolute value inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line. 182) |x + 7| + 5 7 182) A) [–9, –5] B) (–, –9] […]
Chapter 13 3 Find Equation Relating And Where The Angle
Find the derivative of the function. 106) y =x3 tan x 106) A) dy dx =x3sec2x +3x2tan x B) dy dx =x3 sec x tan x +3x2tan x C) dy dx = – x3sec2 x +3x2tan x D) dy dx […]
Chapter 6 3 numbering the letters of the alphabet 1 through 26 in their usual
Solve the problem. 114) Let A = –1 4 0 4 9 –4 and B = 7 2 17 4 4 2 . Find A – B. 114) A) –8 2 –17 0 5 –6 B) 3–3 7 0 –5 […]
Chapter 1 3 What The Length The Diagonal Of this Paper a
Solve the problem. 113) ABC phone company charges $23 per month plus 8¢ per minute of phone calls. XYZ phone company charges $11 per month plus 11¢ per minute of phone calls. How many minutes of phone calls in a […]
Chapter 13 2 A 34- foot ladder is leaning against the side of a building
Find the derivative of the function. 62) y =5 sin (7x – 6) 62) A) dy dx = – 7 cos (7x – 6) B) dy dx =5 cos (7x – 6) C) dy dx =35 cos (7x – 6) […]
Chapter 6 2 Set up a system of equations that keeps traffic moving
Solve the problem. 64) Let A = –1 2 –7 8 7 4 –6 2 2 and B = 1–8 2 –2–4–5 –3 9 6 . Find –3A + 2B. 64) A) 0 6 –9 –6 3 11 –5–1 8 […]
Chapter 1 2 People Who Use The Train Also Have
Solve the radical equation, and check all proposed solutions. 56) 2x + 3 =4x – 5 56) A) 11 2 B) 11 –69 8, 11 +69 8 C) 11 +69 8 D) Solve the problem. 57) The formula C […]
Chapter 13 1 Monday morning That Time The Water About
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the derivative of the function. 1) y =3sec5 x 1) A) dy dx =15 tan x sec5 x B) dy dx =15 […]
Chapter 6 1 There were approximately 100,000 vehicles sold at a particular
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use Cramer’s rule to solve the system. 1) 5x + 4y=- 8 2x + y = – 5 1) A) {(–3, –4)} B) […]
Chapter 1 1 Which equation corresponds to Y2 in the table
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) y =x–2+x–1+ 2 B) y =x–2–x–1+ 2 C) y =x–2–x–1– 2 […]
Chapter 12 3 How much should be deposited semiannually into a sinking fund
Solve the problem. 136) How much should be deposited semiannually into a sinking fund over 5 years to accumulate $104,000 if the money earns 8% compounded semiannually? 136) A) $17,727.84 B) $8662.26 C) $6243.12 D) $9071.92 Find the monthly house […]
Chapter 5 5 Is there a profit when 395 binoculars are produced
Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers. 181) The sum of two numbers is –14 and their […]
Chapter 12 2 A ball is dropped from a height of 9 meters and returns to about
Find the Taylor series for the given function. Give the interval of convergence. 83) f(x) =4×2 3– x 83) A) 4 3x +4 9×2+4 27 x3+ . . . +4 3nxn+ . . . ; (–3, 3) B) 4 3x […]
Chapter 5 4 A vendor sells hot dogs, bags of potato chips, and soft drinks
A) B) C) D) An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use […]
Chapter 12 1 The cell provides useful power as long as the voltage
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) A team of engineers is testing an experimental high–voltage fuel cell with a potential application as an emergency […]
Chapter 5 3 Is there a profit when 956 binoculars are produced
Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 87) y =13 –3x 12x +4y =52 87) A) {(5, –2)} B) […]
Chapter 11 2 The annual rainfall in Maine is a random variable with probability
78) f(x) =x 3–1 6; [3, 4] 78) A) 0.24 B) 0.32 C) 0.28 D) 0.25 Find a value of k that will make f a probability density function on the indicated interval. 79) f(x) = kx2; [1, 3] 79) […]
Chapter 5 2 A flat rectangular piece of aluminum has a perimeter of 56 inches
Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 41) 5y =42 –4x 2x =46 –5y 41) A) {(5, –10)} B) […]
Chapter 11 1 What Is the Probability That Blood Clotting Time
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether or not the function is a probability density function on the indicated interval. 1) f(x) =3×2 16 ; [–2, 2] 1) […]
Chapter 5 1 Find And Substituting Each Three Ordered Pairs
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the partial fraction decomposition of the rational expression. 1) x2– 111 x4–x2– 72 1) A) 1 x + 3 –1 x – […]
Chapter 10 2 The table shows the population of a certain city for selected
Solve the problem. 68) The table shows the population of a certain city for selected years between 1950 and 2003. Years after 1950 Population 0 12,421 20 143,112 30 290,089 40 375,297 50 445, 052 55 471,126 Write a logistic […]
Chapter 4 4 What is the limiting size of the butterfly population that
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. 177) 1 4(log4 x +log4 y) –3log4 (x +7) 177) A) log4 4xy (x +7)3 […]