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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)2– 7(x – 2) + 6 B) y […]
Chapter 1 2 There is a relationship between the expected number of tickets
Solve the compound inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line. 51) 32x – 3 9 51) A) (3, 6) B) [3, 6] C) (–6, –3) D) […]
Chapter 1 3 A landscaping company sells 40- pound bags of top soil
Solve the equation using the quadratic formula. 119) x2+5x +5= 0 119) A) –5–5 10 , –5+5 10 B) –5–5 2, –5+5 2 C) –5–3 5 2, –5+3 5 2 D) 5–5 2, 5+5 2 Use the graph to determine […]
Chapter 1 4 Use Compound inequality Determine When The Attendance Costs
Use the graph to determine the x– and y–intercepts. 175) 175) A) x–intercepts: –4, 4; y–intercepts: –5, 5 B) x–intercepts: –5, 5; y–intercepts: –4, 4 C) x–intercepts: –5, 5 D) y–intercepts: –4, 4 Find the product and write the result […]
Chapter 1 5 A bookcase is to be constructed as shown in the figure below
Solve the problem. 209) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the […]
Chapter 2 1 One Internet service provider has the following rate schedule
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) One Internet service provider has the following rate schedule for high–speed Internet service: Monthly service charge $18.00 1st […]
Chapter 2 2 Begin by graphing the standard square root function
A) f domain = (0, ); range = (–1, ) f–1 domain =(0, ); range = (–1, ) B) f domain = (–, ); range = (–1, ) f–1 domain =(–, ); range = (1, ) C) f domain = […]
Chapter 2 3 Use Interval Notation Give The domain And Range
Find and simplify the difference quotient f(x + h) – f(x) h, h 0 for the given function. 78) f(x) =x2+8x – 9 78) A) 2×2+ 2x + 2xh +h2+ h – 18 h B) 1 C) 2x + […]
Chapter 2 4 The total cost in dollars for a certain company to produce
A) B) C) D) D) Solve the problem. 118) The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) =0.8x +40,000. Find C(50,000), […]
Chapter 2 5 Let The Average Value The Automobile The
Find functions f and g so that h(x) = (f g)(x). 164) h(x) = 1 x2+ 4 164) A) f(x) =1/x2, g(x) =4 B) f(x) = x + 4, g(x) =1/x2 C) f(x) = 1/x, g(x) =1/x + 4 […]
Chapter 2 6 plotted with a solid line, to sketch the graph of the given
A) B) C) D) Find the slope of the line that goes through the given points. 192) (5, –7), (–8, –2) 192) A) –13 5 B) – 2 C) –1 2 D) –5 13 Answer: D Explanation: A) B) C) […]
Chapter 3 1 If the voltage across a resistor is 12 volts
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 3 2 A rectangular playground is to be fenced off and divided in two
Find the x–intercepts of the polynomial function. State whether the graph crosses the x–axis, or touches the x–axis and turns around, at each intercept. 41) f(x) = – x3(x +3)2(x –8) 41) A) 0, touches the x–axis and turns around; […]
Chapter 3 3 Then find the coordinates of the minimum or maximum point
Divide using long division. 85) (2×4–7×2+14×3–49x) ÷ (2x +14) 85) A) x3+7 2x B) x3–14x +4x 2x +14 C) x3–7 2x D) x3–7 2x –98x 2x +14 Find the x–intercepts of the polynomial function. State whether the graph crosses the […]
Chapter 3 4 Find The Amount Of water Used Shower Lasting
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. 143) 15 –3x 6x +1 0 143) A) –1 6, 5 B) [5, ) C) –, –1 6or [5, […]
Chapter 4 1 The population of a particular country was 25 million in 1982
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) 1) A) f(x) =log 5(–x) B) f(x) = 1 –log 5x C) f(x) =log 5x D) f(x) = – log 5x Answer: […]
Chapter 4 2 Cindy will require $13,000 in 2 years to return to college to get
53) Use the graph of f(x) = log x to obtain the graph of g(x) = log (x – 1). 53) A) B) C) D) Answer: B Explanation: A) B) C) D) 21 Approximate the number using a calculator. Round […]
Chapter 4 3 Write The Expression Single Logarithm Whose coefficient Where
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. 107) 9logby +6logbz 107) A) 15logbyz B) logb(yz)15 C) 54logbyz D) logby9z6 Graph the function. […]
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 […]
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 […]