Algebra for College Students 8th Edition

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) Answer:DExplanation:A)B)C)D)1 Answer:DExplanation:A)B)C)D)1 Answer: D Explanation: A) B) C) D) 1 Match the correct viewing rectangle dimensions with the figure. 2) 2) A) [-20, 10, 2] by [-20, 10, 2] B) [-10, 10, 4] by [-10, 10, 4] C) [-10,

Add as indicated. 61) -8.5 + (-2.1) 61) A) 6.4 B) -10.6 C) -6.4 D) 10.6 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Multiply as indicated. 62) 2(-1)(9)(-9) 62) A) 162 B) 2 C) 83 D) -162 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Solve the equation to determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 63) -3(x - 2) + 26 =2x -5(x - 8) 63) A) Identity B) Conditional equation C) Inconsistent equation Answer:CExplanation:A)B)C) Answer:CExplanation:A)B)C) Answer: C Explanation: A) B) C) Solve the equation. 64) -7=8(x + 9) - (7x - 2) 64) A) {81} B) {- 81} C) {18} D) {67} Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Solve the equation. If the solution set is

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) 10 a.m. to 11 a.m. D) 12 p.m. to 2 p.m. Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Solve the problem. 136) It is known that one-fourth of all aluminum cans

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 Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) 212) Paul has $10,000 to invest. He puts x dollars in a safe government-insured certificate of deposit paying 4% per year. He invests the remainder of the

Use the order of operations to simplify the expression. 294) 16 -72+ 3 17 294) A) 6 B) 26 C) 16 -751 D) 5 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Use the five-step strategy for solving word problems. 295) After a 16% price reduction, a boat sold for $21,840. What was the boat's price before the reduction? Round to the nearest cent, if necessary. 295) A) $26,000 B) $136,500.00 C) $3494.40 D) $25,334.40 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Simplify the exponential expression. 296) (4x-4)(5x-6) 296) A) 20x24 B) 20x10 C) 20 x10 D) -20x24 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Graph the equation. 297) y =x- 1 297) 81 A) B) C) D) Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Solve

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 entire unit (including the shelves, but NOT the back of the bookcase), find the

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:DExplanation:A)B)C)D)1 Answer:DExplanation:A)B)C)D)1 Answer: D Explanation: A) B) C) D) 1 2) y2 16 -x2 9= 1 2) A) B) C) D) Answer:AExplanation:A)B)C)D)2 Answer:AExplanation:A)B)C)D)2 Answer: A Explanation: A) B) C) D) 2 3) x2 16 -y2 9= 1 3) A) B) C) D) Answer:DExplanation:A)B)C)D)3 Answer:DExplanation:A)B)C)D)3 Answer: D Explanation: A) B) C) D) 3 4) x = - (y + 2)2- 2 4) A) B) C) D) Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Graph the ellipse. 5) 9x2+14y2=126 5) 4 A) B) C) D) Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Sketch the ellipse for the equation. 6) (x - 3)2 25 +y2 16 = 1 6) 5 A) B) C) D) Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Indicate whether the graph of

A) hyperbola B) ellipse C) parabola D) circle Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) 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) D) (0, -1), (0, 1) Answer:BExplanation:A)B)C)D)21 Answer:BExplanation:A)B)C)D)21 Answer: B Explanation: A) B) C) D) 21 Solve the problem. 37) A local university is building a new arena to hold basketball games, indoor track meets, concerts, etc. The arena will be elliptical in shape with external

A) circle B) ellipse C) hyperbola D) parabola Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Sketch the ellipse for the equation. 83) 9(x - 1)2+(y + 2)2=9 83) 41 A) B) C) D) Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Find the coordinates of the vertex for the horizontal parabola defined by the given equation. 84) x =(y + 2)2- 1 84) A) (2, -1) B) (-1, 2) C) (-1, -2) D) (-2, -1) Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Sketch the ellipse for the equation. 42 85) 16(x - 1)2+9(y + 2)2=144 85) A) B) C) D) Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) 43 Provide an appropriate response. 86) Find the midpoint of the line segment

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:BExplanation:A)B)C)D)61 Answer:BExplanation:A)B)C)D)61 Answer: B Explanation: A) B) C) D) 61 Solve the problem. 121) The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 32 feet and the height of the arch over the center

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 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Solve the system by the substitution method. 158) x2+y2=41 x + y = - 9 158) A) {(-4, -5), (-5, -4)} B) {(-4, 5), (-5, 4)} C) {(4, -5), (5, -4)} D) {(4, 5), (5, 4)} Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Use the vertex

177) 4x2+9y2=36 177) A) B) C) D) Answer:BExplanation:A)B)C)D)92 Answer:BExplanation:A)B)C)D)92 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), (11, -1)} C) {(1, 11), (1, -11), (-1, 11), (-1, -11)} D) {(1, 11), (1, -11)} Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) The equation of a parabola is given. Determine if the parabola is horizontal or vertical, the way the parabola opens, and the vertex. 179) x

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 graph crosses the x-axis or touches the x-axis and turns around at each intercept. (c) Find the

41) f(x) =9x2-x4 41) A) B) C) D) Answer:DExplanation:A)B)C)D)21 Answer:DExplanation:A)B)C)D)21 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 =1 B) y = - 5 4 C) y = - 5 D) no horizontal asymptote Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Find the vertical asymptotes, if any, of the graph of the rational function. 43) g(x) =x x - 1 43) A) x = 0 and x = - 1 B) x

C) D) Use the Factor Theorem to solve the equation. 89) Solve the equation x3+ 3x2- 4x - 12 = 0 given that 2 is a zero of f(x) =x3+ 3x2- 4x - 12. 89) A) {-3, -2, 2} B) {-2, 2} C) {-3, 2} D) {-2, 2, 3} Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Find the vertical asymptotes, if any, of the graph of the rational function. 90) r(x) =x -6 x2-

Solve the problem. 117) The graph of f(x) =12x3- 35x2+24x -4 is shown in the figure. a. Based on the graph of f, find the root of the equation 12x3- 35x2+24x -4= 0 that is an integer. b. Use synthetic division to find the other two roots of 12x3- 35x2+24x -4= 0. 117) A) a. 1 b. 1 4,

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+ . . . +4n =4n(n + 1) 2 1) Answer:S1:1 4?=(4 1)(1 + 1)24?=4 224=4Sk: 1 4+ 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 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Use the formula for the sum of the first n terms of a geometric sequence. 72) Find the sum of the first 14 terms of the geometric sequence: -2, -6, -18, -54, -162, . .

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) an=9n - 31; a20 =149 B) an=9n - 22; a20 =158 C) an= - 9n + 31; a20 = -

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 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Find the probability. 231) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9? 231) A) 6 B) 1 12 C) 1 6 D) 1 4 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Find the common ratio for the geometric sequence. 232) 1, -3, 9,

Find the common difference for the arithmetic sequence. 294) 0, -2, -4, -6, . . . 294) A) -2 B) 6 C) -4 D) -6 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Write the first four terms of the sequence whose general term is given. 295) an=5 n2 295) A) 5 4, 5 9, 5 16 , 5 25 B) 1, 1 4, 1 9, 1 16 C) 5, 5 4, 5 9, 5 16 D) 1, 2 4, 3 9, 4 16 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Solve the problem. Round to the nearest hundredth of a percent if

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 B) -8 C) -4 D) 0 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Find the requested value. 2) f(x) = - 2x2- 1, g(x) = x - 3 Find f(-5) - g(-5). 2) A) -49 B) -53 C) -43 D) 56 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Write the point-slope form of

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 Answer:AExplanation:A)B)C)D)21 Answer:AExplanation:A)B)C)D)21 Answer: A Explanation: A) B) C) D) 21 Solve the problem. 46) Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction

Find the domain of the function. 85) f(x) =1 x + 7 85) A) ( , ) B) ( , -7) or (-7, ) C) (-7, ) D) ( , 0) or (0, ) Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Solve the problem. 86) Linda needs to have her car towed. Little Town Auto charges a flat fee of $65 plus $2 per mile towed. Write a function expressing Linda's towing cost,

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 Answer:AExplanation:A)B) Answer:AExplanation:A)B) Answer: A Explanation: A) B) The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. 135) Between what two years is the difference in function

A) B) C) D) Answer:BExplanation:A)B)C)D)81 Answer:BExplanation:A)B)C)D)81 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) domain: ( , ) range:(0, ) D) domain: (0, ) range: (0, ) Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Decide whether the relation is a function. 180) {(-6, 2), (-6, -3), (2, 3), (6, 7), (10, -9)} 180) A) function B) not a function Answer:BExplanation:A)B) Answer:BExplanation:A)B) Answer: B Explanation: A) B) Find the indicated function value. 181) f(x) =8- 8x,

Use the graph of f to solve. 213) Find f(-2) 213) A) 0.4 B) -4.5 C) 4.5 D) -0.4 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Find the slope of the line that goes through the given points. 214) (-7, -3), (-7, -9) 214) A) 0 B) -3 7 C) 6 7 D) Undefined Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Find the requested value. 215) f(x) =5x2- 6x + 6, g(x) =7x - 8 Find f(3) + g(3). 215) A) 88 B) 72 C) -44 D) 46 Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) 98 Find the slope. 216) Find the slope of a line perpendicular to the line y = -

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 total number of Product A ever sold (in thousands) is given by the equation y =75x

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) 14 units D) 15 units Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Solve the system. If there is no solution or if the system's equations are dependent, so state. 71) x - y +

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 Answer:BExplanation:A)B) Answer:BExplanation:A)B) Answer: B Explanation: A) B) Solve the system using matrices. 137) x+y+z=0 x-y+3z =8 2x +y+z=2 137) A) no solution or B) {(1, -3, 2)} C) infinitely many solutions; dependent equations D) {(2, -3, 1)} Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Solve the system by the substitution method

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 B) C) 14 5, 4 5 D) -, 4 514 5, Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Graph the inequality. 2) x 3+y 2 1 2) 1 A) B) C) D) Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Graph the inequality in a rectangular coordinate system. 3) 2x + y -3 3) 2 A) B) C) D) Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) 3 Solve the compound inequality. Other

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 to find the number of minutes one can call long distance for $10.40. 36) A) 21 minutes

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 to this formula, in which years will the number of cars sold exceed 40

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) Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Find the solution set for the equation. 116) 3|x - 3| = 18 116) A) B) {3, -9} C) {9, -3} D) {3} Answer:CExplanation:A)B)C)D)61 Answer:CExplanation:A)B)C)D)61 Answer: C Explanation: A) B) C) D) 61 Solve the compound inequality and graph the solution set on a number

C) D) Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) 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 is the number of fire trucks that have left the firehouse in response to a call.

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 with its graph. 1) f(x) =8x3+ 2x2- 4x + 2 1) A) falls to the left and falls to

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(21x4+15y2) C) 3y(7x5+5xy2) D) 3xy(7x4+5y2) Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Factor any difference of two squares, or state that the polynomial is prime. Assume any variable exponents represent whole numbers. 72) x12 -y12 72) A) (x10 +y10)(x10 -y10) B) prime C) (x6+y6)(x6-y6) D) (x6-y6)2 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Solve the problem. 73) Find the area of the large rectangle below in two ways.

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 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Factor completely, or state that the polynomial is prime. 163) 98x3- 56x2y + 8xy2 163) A) 2x(7x - 2y)(7x + 2y) B) 2x(7x + 2y)2 C) prime D) 2x(7x - 2y)2 Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Solve the problem. 164) The floor

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) 9a2n - 169 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Perform the indicated operations. 250) Let f(x) =x2+ 8x + 5. Find f(a + h) - f(a) and simplify. 250) A) 2ah +h2+ 8a +

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) Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Factor the trinomial by grouping, or state that the trinomial is prime. 340) 12x2+ 25xy + 12y2 340) A) (12x + 3y)(x + 4y) B) prime C) (4x + 3y)(3x + 4y) D) (4x - 3y)(3x -

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) 10x2y4-20x2 B) 25x2y4-100x2 C) 10x2y4-100x2y4-20x2 D) 25x2y4-100x2y4-100x2 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Use the FOIL method to multiply the binomials. Assume any variable exponents represent whole numbers. 390) (4x + 2y)(3x - 5y) 390) A) 12x2- 14xy - 10y2 B) 12x2+ 6xy - 10y2 C) 12x2- 14xy - 14y2 D) 12x2- 20xy -

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. Use the equation to solve the problem. 1) Find and interpret f(40). 1) A) 15; It costs $15 to produce

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 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Divide. 65) (25x3+ 25x2+ 26x + 8) (-5x - 2) 65) A) x2- 3x - 4 B) x2+ 3x + 4 C) -5x2- 3x - 4 D) -5x2- 4 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Solve the problem. 66) A cyclist bikes at a constant speed for 16

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 Car A to overtake Car B? 136) A) 4 minutes B) 22 3 minutes C) 1 15 minute D) 16 minutes Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Find the function value. 137) f(x)

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) 4x3+ 23x2+ 31x + 12 = 0; -4 203) A) The remainder is zero; -1 4, -3, -4 B) The remainder is zero; -3 4, 1, -4 C) The remainder is zero; 3 4, -1, -4 D) The

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 -56 1) A) domain of f: [-7, ) B) domain of f: ( , 7] C) domain of f: [7, ) D) domain of

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 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Divide and simplify to the form a + bi. 75) 5+ 3i 5- 4i 75) A) 37 41 +5 41 i B) 13 9+35 9i C) 13 41 +35 41 i D) 37 9+35 9i Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Simplify by factoring. Assume that any variable in a radicand represents a positive real number. 76) 5(x + k)14 76) A) x2+ 9 5(x +

Rationalize the denominator and simplify. 163) 1 33 163) A) 39 3 B) 333 C) 33 3 D) 33 9 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Find the perimeter or area of the figure as indicated. Express your answer in simplified radical form. 164) Find the area of the rectangle. 3 ft 15 ft 164) A) 45 sq ft B) 9 5 sq ft C) 3 5 sq ft D) 15 sq ft Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Divide and, if possible, simplify. 165) 40x3 10x 165) A) 2x B) 2x 10x C) 2x 10 D) 2x x Answer:AExplanation:A)B)C)D)41 Answer:AExplanation:A)B)C)D)41 Answer: A Explanation: A) B) C) D) 41 Rationalize numerator. 166) 7 6x 166) A) 7 6x B) 7 42x C) 42x 6x D) 7 7x Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Perform the indicated operation. Write

Solve the equation. 248) 3x - 2 +11 + x = - 1 248) A) {5} B) {0} C) -5 2 D) Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Solve the problem. 249) The formula v =20L can be used to estimate the speed of a car, v, in miles per hour, based on the length, L, in feet, of its skid marks upon sudden braking on a dry asphalt road. If

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 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 315) 10 x4y8 315) A) 5x2y B) x2y4 C) 5x2y4 D) 5xy4 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Divide and simplify to the form a + bi. 316) 8- 4i 5- 6i 316) A) -16 11 -28 11 i B) 16 61 +68 61 i C) 64 61 +28 61 i D) -64 11 -28 11 i Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Divide

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 +8x1/6 -9 B) f(x) =x1/3 -8x1/6 +9 C) f(x) =x1/3 +8x1/6 +9 D) f(x) =x1/3 -8x1/6 -9 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) 2) 2) A) f(x) =x1/2 + 2x1/4 + 1 B) f(x) =x1/2 +13x1/4 -14 C) f(x) =x1/2 + 2x1/4 - 1 D) f(x) =x1/2 -13x1/4

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} Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Solve the polynomial inequality and graph the solution set on a number line. 50) 4x2+ 5x -6 0 50) A) , 3 4 B) -2, 3 4 C) ( , -2] 3 4, D) [-2, ) Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Solve. 51) The average cost per unit, C(x), of producing x units of

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 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Solve the equation by making an appropriate substitution. 115) x4- 3x2-54 = 0 115) A) {3, i 6} B) {-6, 6, -3i, 3i} C) {-3, 3, -i 6, i 6} D) {-9, 6} Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Find the coordinates of

Solve the polynomial inequality and graph the solution set on a number line. 169) x3+ 4x2+ 8x + 15 0 169) A) ( , -3] [5, ) B) [-3, ) C) ( , -3] [1, 5] D) ( , -3] Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Use the discriminant to determine the number and type of solutions for the given equation. 170) x2+ 7x - 5 =

Use the quadratic formula to solve the equation. 234) 9x2+ 5x + 8 = 0 234) A) -5 18 i 263 18 B) -5263 18 C) 5 18 i 263 18 D) 5263 18 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Solve the equation by making an appropriate substitution. 235) (4x - 4)2- 12(4x - 4) + 35 = 0 235) A) 11 4, 9 4 B) -3 4, 1 4 C) 3 4, -1 4 D) -11 4, -9 4 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Find the range of the quadratic function. 236) f(x) =x2+ 4x + 2 236) A) [2, ) B) ( , -10] C) (

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 = Gm1m2 F D) d =Gm1m2F Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Write a quadratic equation in standard form with the given solution set. 273) {-1, 8} 273) A) x2- 8x + 7 = 0 B) x2- 7x - 8 = 0 C) x2+ 8x +

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 B) f(x) = - 4-x C) f(x) = - 4x D) f(x) =4-x Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) 2) 2) A) f(x) =3x+ 2 B) f(x) =3x + 2 C) f(x) =3x- 2 D) f(x) =3x Answer:BExplanation:A)B)C)D)1 Answer:BExplanation:A)B)C)D)1 Answer: B Explanation: A) B) C) D) 1 3) 3) A) f(x) = -

Write the equation in its equivalent exponential form. 61) log464 = x 61) A) 64x=4 B) 4x=64 C) x4=64 D) 644= x Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Provide an appropriate response. 62) On the decibel scale, the loudness of a sound, in decibels, is given by D = 10 log I I0, where I is the intensity of the sound, in watts per meter2, and I0 is the intensity of a

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 pounds of the material are placed in the vault, how much time will need

A) B) C) D) Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: 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 B) log3(y x) C) log3 x y D) log3xy Answer:BExplanation:A)B)C)D)61 Answer:BExplanation:A)B)C)D)61 Answer: B Explanation: A) B) C) D) 61 Solve the logarithmic equation. Give an exact answer. 189) log59-log5 x =3 189) A) 3 B) 3 5 C) 125 9 D) 9 125 Answer:DExplanation:A)B)C)D) Answer:DExplanation:A)B)C)D) Answer: D Explanation: A) B) C) D) Solve. 190) The function A =A0e-0.0099x models the amount in pounds of a particular radioactive material stored

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 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places 226) log418 226) A) 1.8573 B) 0.6532 C) 2.0850 D) 0.4796 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions