Archives
Chapter 1 The line graph shows the percentage of high school
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. 1) 1) The line graph shows the percentage of high school seniors who used alcohol or marijuana in a certain state. 1985 […]
Chapter 1 Use the distributive property to rewrite without parentheses
Perform the indicated subtraction. 46) 46) 0.82 – (–0.13) A) 0.1066 B) 0.69 C) 0.95 D) 1.05 Evaluate the algebraic expression for the given value(s). 47) 10x +20 5x , given 4 47) A) 40 B) 3 C) 2 D) […]
Chapter 10 The average height of a boy in the United States
Rewrite the expression with a rational exponent. 51) 49x7y 51) A) 1 4· (9x7y) B) (9x7y)4 C) 1 (9x7y)4 D) (9x7y)1/4 Use radical notation to rewrite the expression. Simplify, if possible. 52) (–64)1/3 52) A) –4 B) 4 C) –4316 […]
Chapter 10 Use rational exponents to simplify the radical
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) =12 […]
Chapter 11 A developer wants to enclose a rectangular grassy lot
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) =x1/2 + 2×1/4 + 1 B) f(x) =x1/2 +14×1/4 –15 […]
Chapter 11 Find the values of x for which the company
Solve the equation by the method of your choice. Simplify solutions, if possible. 87) (2x + 5)2=5 87) A) –5, 0 B) –5±5 2 C) 5±5 2 D) –5 2± i 5 2 Solve. 88) 88) A ladder that is […]
Chapter 11 If they can cut the lawn in 5 hours working
Solve the polynomial inequality and graph the solution set on a number line. 50) x3– 9×2+ 23x – 15 0 50) A) [–5, –3] [–1, ) B) [1, 3] [5, ) C) ( , 1] [5, […]
Chapter 12 The value of a particular investment follows a pattern
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 12 Use The Fact That Years Later The population
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. 52) 52) log x + log 15 A) log x 15 […]
Chapter 12 what is the average number of consecutive free throws
116) f(x) =4x 116) A) B) C) D) Answer: C Explanation: A) B) C) D) 41 Solve the problem. 117) 117) A sample of 700 g of lead–210 decays to polonium–210 according to the function given by A(t) =700e–0.032t, where […]
Chapter 12 Which investment yields the greater return over 7 years
Determine whether the values in the table belong to an exponential function, a logarithmic function, a linear function, or a quadratic function. 158) 158) x y 0 1 1 4 216 364 4256 A) linear B) quadratic C) logarithmic D) […]
Chapter 13 A local university is building a new are
A) B) C) D) Solve the system. 142) 4×2– 2y2= – 16 5×2+ 3y2=68 142) A) {(2, 4), (4, 2), (–2, –4), (–4, –2)} B) {(2, –4), (2, 4)} C) {(–2, –4), (–4, –2)} D) {(2, 4), (–2, 4), (2, […]
Chapter 13 How Far From The Base The Dish
A) Axis of symmetry is y = – 7. B) Axis of symmetry is x =7. C) Axis of symmetry is y =7. D) Axis of symmetry is x = – 7. 34) x =(y – 8)2– 7 34) 21 […]
Chapter 13 The sum of the squares of two numbers is 90
104) y2 64 –x2 4= 1 104) A) B) C) D) Answer: B Explanation: A) B) C) D) 61 Let x represent one number and let y represent the other number. Use the given conditions to write a system of […]
Chapter 13 the way the parabola opens, and the vertex
Write the standard form of the equation of the circle with the given center and radius. 71) 71) Center (–2, 0), r =10 A) (x – 2)2+ y2=100 B) x2+ (y + 2)2=10 C) x2+ (y – 2)2=10 D) (x […]
Chapter 13 Two trucks plan to use this road
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the equation to its graph. 1) y2 9–x2 4= 1 1) A) B) C) D) Answer: B Explanation: A) B) C) D) […]
Chapter 14 Jacie is considering a job that offers
141) 4 i = 1 –1 3 i 141) A) 20 81 B) –16 81 C) –20 81 D) 40 81 Find the indicated sum. Use the formula for the sum of the first n terms of a geometric […]
Chapter 14 The probability that a person in the general population
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the partial sum formula to find the partial sum of the given arithmetic sequence. 1) 1) Find the sum of the first […]
Chapter 14 Use the Binomial Theorem to expand the binomial
Use the Binomial Theorem to expand the binomial and express the result in simplified form. 74) (x – 8)5 74) A) x5– 40×4+ 640×3– 5120×2+ 20,480x – 8 B) x5– 40×4+ 640×3– 5120×2+ 20,480x – 32,768 C) x5– 40×4+ 1280×3– […]
Chapter 15 The equation of a line passing through two distinct
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mode for the group of data items. If there is no mode, so state. 1) 1) 5, 9, 75, 3, 2, […]
Chapter 2 Power The Time Rate Doing Work And
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality and graph the solution set on a number line. 1) y 4–2 1) A) [–8, ) B) (–8, ) C) […]
Chapter 2 The time it takes to travel a given distance at constant
Solve the equation. 54) 54) 4(5x + 1) + 23 =14x – 3 A) {–5} B) {–30} C) {5} D) {–180} Solve the problem. 55) The time it takes to travel a given distance at constant speed is given by […]
Chapter 2 Three Fourths Number Find The Number Lowest
Determine whether the equation in one variable is linear. 87) 6 x –3= 0 87) A) linear B) not linear Use the percent formula, A = PB: A is P percent of B, to solve. 88) 88) 27% of what […]
Chapter 3 Find The Slope Line Perpendicular The Line
Give the ordered pairs that correspond to the points labeled in the figure. 43) 43) A) R = (–5, 3), S = (–3, –5) B) R = (–5, 3), S = (–5, –3) C) R = (3, 6), S = […]
Chapter 3 The approach ramp used by a daredevil motorcyclist
C) D) Graph the linear equation using the slope and y–intercept. 77) y = – 1 3x +2 77) A) B) 36 Answer: D Explanation: A) B) C) D) C) D) Solve. 78) 78) The approach ramp used by a […]
Chapter 3 Plot the given point in a rectangular coordinate system
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the linear equation in two variables. 1) 1) y = – 3x – 3 A) B) C) D) Answer: D Explanation: A) […]
Chapter 4 He wants to limit his food intake to 140 g protein
Determine if the given ordered triple is a solution of the system. 92) 92) (5, –1, 1) x + y + z =5 x – y + 4z =10 5x + y + z =25 A) not a solution B) […]
Chapter 4 How many pounds of shrimp did each boat catch
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) 1) An electronics company kept comparative statistics on two products, A and B. For the years 2003 to 2011, […]
Chapter 4 If there is no solution or if the system’s equations are dependent
Solve the system. If there is no solution or if the system‘s equations are dependent, so state. 57) x–y+2z =5 4x +z=0 x+4y +z= – 20 57) A) {(0, –5, 0)} B) infinitely many solutions; dependent equations C) {(0, 0, […]
Chapter 5 A census was taken to determine the median annual income
Provide an appropriate response. 55) 55) Write a polynomial in descending powers of x that represents the area of the entire figure. 2x 3 2x + 1 3 A) 4×2+12x +11 B) 8x +14 C) 16×2+56x +48 D) 4×2+14x +12 […]
Chapter 5 Write the number in decimal notation without
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine the coefficient of each term, the degree of each term, and the degree of the polynomial. 1) –15x4y3– 3x3y +3 8xy […]
Chapter 6 Factor completely, or state that the polynomial is prime
Solve the problem. 54) 54) Find a formula for the area of the shaded grey region and express it in factored form. 7x 7x 1 1 A) (x +7)(x –7) B) 7x – 1 C) (7x + 1)(7x – 1) […]
Chapter 6 The length and area of the rectangle are given
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor. 1) 3×2+ 11x – 20 1) A) (3x – 4)(x + 5) B) (3x – 5)(x + 4) C) (3x + 5)(x […]
Chapter 7 The average speed on a round- trip commute
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) 1) The average speed on a round–trip commute having a one–way distance d is given by the complex rational […]
Chapter 7 Use For The Constant Proportionality 79 Varies Directly
Solve. 55) Young’s rule, C =DA A + 12 , can be used to approximate the dosage of a drug prescribed for children. In this formula, A = child’s age in years, D = an adult dosage, and C = […]
Chapter 8 A function f models the percentage of attendance at weekly
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) 1) A function f models the percentage of attendance at weekly welfare–to–work meetings as a function of […]
Chapter 8 A research team collected data concerning a local welfare
Find the inverse of the one–to–one function. 51) 51) f(x) = – 5x + 4 A) f–1(x) =y – 4 –5 B) f–1(x) =x + 4 –5 C) f–1(x) = –5x – 4 –5 D) f–1(x) =x – 4 –5 […]
Chapter 9 A certain store has a fax machine available for use
A) B) C) D) 98) 98) x – y –6 58 Answer: A Explanation: A) B) C) D) A) B) C) D) Answer: C Explanation: A) B) C) D) 59 Solve and graph the solution set on a number line. […]
Chapter 9 Except For The Empty Set Express The solution
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the solution set of the system of inequalities or indicate that the system has no solution. 1) x 0 y […]
Chapter 9 The length of a metal rod used in manufacturing cars
31) 31) x<1 A) (–, –1] [1, ) B) (–, –1) (1, ) C) (–1, 1) D) [–1, 1] Solve the problem. 32) 32) Given the cost function, C(x), and the revenue function, R(x), write the profit function […]
Chapter 9 using the horizontal axis for P and the vertical axis for F
Find the union of the sets. 67) 67) {w, x, y, z, k} A) B) {w, x, y, z, k} C) {w} D) {y, k} Solve and graph the solution set on a number line. 68) 68) […]
Elementary Education Appendix A The mean is so much greater than the median
Elementary Education Appendix B Because the row operation resulted in a contradiction
Elementary Education Appendix B The system is inconsistent There is no solution
Elementary Education Appendix C at least one of the determinants for the numerators
Elementary Education Chapter 1 Printing Colors Binding Margins Gutter Head Special
Release to Production — Print Supplement Supplement Information ISBN 0-13-418066-6 / 978-0-13-418066-3 Title Instructor’s Solutions Manual for INTRODUCTORY AND INTERMEDIATE ALGEBRA FOR COLLEGE STUDENTS Schedule RTP date 3/1/16 File-out date 3/8/16 Bound book date NA THIS MANUAL IS ONLINE ONLY […]
Elementary Education Chapter 1 This overestimates the actual amount shown in
Chapter 1 Variables, Real Numbers, and Mathematical Models 54. 00 8 55. 7 0 is undefined. 56. 8 0 is undefined. 57. 1 15 3 15 5 3 58. 1 80 8 80 10 8 59. […]
Elementary Education Chapter 1 Variables Real Numbers And Mathematical Models
Chapter 1 Variables, Real Numbers, and Mathematical Models 1.1 Check Points 1. a. 62 62(10) 26x b. 2( 6) 2(10 6) 32x 2. a. 7 2 7 3 2 8 21 16 37xy b. 663810 2 2828385 xy […]
Elementary Education Chapter 1 The Bismarck’s resting place is lower because
Section 1.4 Basic Rules of Algebra 95. a. b. Rhode Island, Georgia, Louisiana, Florida, Hawaii 96. a. b. Wyoming, Wisconsin, Washington, West Virginia, Virginia 121. 12 3.464 and should be graphed between -4 and -3. 122. 12 0.414 […]
Elementary Education Chapter 10 A dinosaur with a leg length of 6 feet
Section 10.3 Multiplying and Simplifying Radical Expressions 10.3 Exercise Set 1. 35 35 15 2. 75 35 3. 333 3 29 29 18 4. 3 33 54 20 5. 44 4 4 11 3 11 3 33 6. 55 […]
Elementary Education Chapter 10 Radicals Radical Functions And Rational Exponents
Chapter 10 Radicals, Radical Functions, and Rational Exponents 10.1 Check Points 1. a. 64 8because 2 864 b. 49 7because 2 (7) 49 c. 16 4 25 5 because 2 416 525 d. 0.0081 0.09because 2 0.09 […]
Elementary Education Chapter 10 The Rounded Value The Same The Value
Section 10.7 Complex Numbers 141. 2 44 23 62 3 ii iii 22 44 6161 47 284 77 7 28 4 28 4 49 1 50 28 4 14 2 50 50 25 25 […]
Elementary Education Chapter 10 The square root of a number must be positive
Section 10.5 Multiplying with More Than One Term and Rationalizing Denominators 19. 2735 23 25 73 75 6102135 20. 3 2 10 11 30 33 20 22 […]
Elementary Education Chapter 10 The vertical distance was about 2.9 feet
Section 10.6 Radical Equations 45. 232 l t π 2 2 2 2 2 2 22 22 232 32 4 32 4 88 or tl tl tl tt ll π π π ππ […]
Elementary Education Chapter 11 coordinate of the vertex of the parabola is
Section 11.3 Quadratic Functions and Their Graphs The x–intercepts are 1 and 3. Set x = 0 and solve for y to obtain the y–intercept. 2 01 4 3y 2 224215. 2 b ff a […]
Elementary Education Chapter 11 Express the inequality without the absolute
Section 11.5 Polynomial and Rational Inequalities 61. 2 23612 xx Express the inequality without the absolute value symbol. 22 22 2 36 12 or 2 36 12 2240 2480 xx xx xx xx Solve […]
Elementary Education Chapter 11 Multiply both sides of the equation by the least
Mid-Chapter Check Point 11. 2 2 (2 3) 4 23 4 2340 xx Apply the quadratic formula. 2 3 4ab c 2 (3) (3) 4(2)(4) 2(2) 39323 23 44 323(1) 3233 23 4444 x ii […]
Elementary Education Chapter 11 Solve the related quadratic equation to find
Section 11.4 Equations Quadratic in Form 53. 21 32 42 10xx Using a graphing utility we find the solution set is 3, 5 . Both solutions check. 54. 42 10 9 0xx Using a graphing […]
Elementary Education Chapter 11 the intervals are the set of real numbers
Section 11.5 Polynomial and Rational Inequalities 26. 2 2 3105 31050 xx xx Solve the related quadratic equation. 2 31050xx 2 2 4 2 ( 10) ( 10) 4(3)(5) 2(3) 510 3 0.61 or 2.72 bb ac xa […]
Elementary Education Chapter 11 The result is a perfect square trinomial
Chapter 11 Quadratic Equations and Functions 11.1 Check Points 1. 2 2 428 7 x x Apply the square root property. 7x The solution set is 7. The coefficient of the x–term is 10. Half of […]
Elementary Education Chapter 11 There are two imaginary solutions that are complex
Section 11.2 The Quadratic Formula 143. 42 8150xx Let u = 2 x 2 22 2 8150 8150 530 xx uu uu Apply the zero product principle. 50 30 53 uu uu […]
Elementary Education Chapter 11 This answer overestimates the stopping distance
Chapter 11 Review Exercises 34. a. 2 ( ) 0.125 2.3 27gx x x 2 (35) 0.125(35) 2.3(35) 27 261g On wet pavement, a motorcycle traveling at 35 miles per hour will require a stopping distance of 261 […]
Elementary Education Chapter 11 the parabola opens upward The vertex
Chapter 11 Test 18. 2 14fx x Since 1a is positive, the parabola opens upward. The vertex of the parabola is ,1,4hk and the axis of symmetry is 1.x Replace fx […]
Elementary Education Chapter 12 taking the logarithm of a negative number
Section 12.4 Exponential and Logarithmic Equations 37. 2ln7 ln410 ln 410 2ln 7 ln 410 21.09 ln 7 x x x The solution set is ln 410 21.09 ln 7 . […]
Elementary Education Chapter 12 The average amount spent after three hours
Chapter 12 Exponential and Logarithmic Functions 12.1 Check Points 1. 3 (3) 42.2(1.56) 160.20876 160 f The average amount spent after three hours at a mall is $160. This overestimates the amount shown in the figure by $11. […]
Elementary Education Chapter 12 The graph of g is the graph of f shifted
Section 12.2 Logarithmic Functions 102. ln ln 3fx x gx x The graph of g is the graph of f shifted 3 units to the left. After approximately 9 months, the average score 103. […]
Elementary Education Chapter 12 The Graph The Graph Reflected Across The
Section 12.5 Exponential Growth and Decay; Modeling Data 29. First find the decay equation. 22 22 0.031507 ln 0.5 22 ln 0.5 22 0.031507 t k k k Ae Next use the decay equation answer […]
Elementary Education Chapter 12 The model value is the same as the percent
Chapter 12 Exponential and Logarithmic Functions 71. 33.4 1.66 t ft 421 1.66 33.4 421 ln ln 1.66 33.4 421 ln ln1.66 33.4 421 ln 33.4 5 ln1.66 t t t t […]
Elementary Education Chapter 13 Back substitute Multiply The First Equation And The
Chapter 13 Review Exercises Back-substitute 0 and 5 2 for x to find y. 5 0or 2 11 01 51 12 7 2 yx yx yy y y =− − =− − =− − =− − =− =− The solution […]
Elementary Education Chapter 13 Back-substitute these values for x in
Section 13.5 Systems of Nonlinear Equations in Two Variables 3. 2 2 44 xy yx x += =−+ Substitute 2 4 4 for xx y −+ in the first equation and solve for x. ()() 2 2 342 320 210 […]
Elementary Education Chapter 13 Conic Sections and Systems of Nonlinear
Chapter 13 Conic Sections and Systems of Nonlinear Equations 13.1 Check Points 1. 22 2 22 004 16 xy xy 2. 22 2 22 2 22 5(6)10 5 6 100 xh yk r […]
Elementary Education Chapter 13 the equation’s graph is an ellipse
Section 13.4 The Parabola: Identifying Conic Sections 3. a. Collect 22 and termsxy on the same side of the equation. 22 22 416 416 xy xy Because 22 and xy have opposite signs, the equation’s graph is a […]
Elementary Education Chapter 13 The people should stand along the major
Section 13.2 The Ellipse 46. 222 222 50 30 cab c 2 2500 900c 2 1600 40 c c The people should stand along the major axis 40 feet from the center of the room. […]
Elementary Education Chapter 13 endpoints of the minor axis lie 3 units above
Chapter 13 Review Exercises 80. Rewrite the first equation. 2 log 3 2log 3 xy xy =+ =+ Substitute 1 for logyx−in the first equation and solve for y. () 2log 3 21 3 22 3 23 5 xy yy […]
Elementary Education Chapter 14 Sequences Series And The Binomial Theorem
Chapter 14 Sequences, Series, and the Binomial Theorem 14.1 Check Points 1. a. 1 2 3 4 2(2) 5 9 2(3) 5 11 2(4) 5 13 a a a The first four terms are 7, 9, 11, […]
Elementary Education Chapter 14 Sequences, Series, and the Binomial Theorem
Section 14.4 The Binomial Theorem 10. 32 3! 3! 3! 3! 41664 0! 3 0 ! 1! 3 1 ! 2! 3 2 ! 3! 3 3 ! 3! xx x 13! […]
Elementary Education Chapter 14 The Athletes Salary For Year Will 3795957
Section 14.3 Geometric Sequences and Series 93. 2 1 22 1 a a 3 2 42 2 a a 4 3 82 4 a a 5 4 16 2 8 a a The ratio […]
Elementary Education Chapter 14 The total salary over the six years is approximately
Chapter 14 Review Exercises 16. 20 220 20 220 20 20 220 400 180 n a 200 1 20 200 20 20 n an n 17. 1 12 1 […]
Elementary Education Chapter 2 Changes to make the statement true will vary
Chapter 2 Linear Equations and Inequalities in One Variable 109. Let x = number of miles driven. 80 0.25 400 80 0.25 80 400 80 0.25 320 0.25 320 0.25 0.25 1280 x x x x […]
Elementary Education Chapter 2 Linear Equations and Inequalities in One Variable
Chapter 2 Linear Equations and Inequalities in One Variable 2.1 Check Points 1. 512 55125 017 17 x Check: 512 17 5 12 12 12 x The solution set is 17 . 13 y […]
Elementary Education Chapter 2 Subtract the area of the two smaller circles
Section 2.6 Problem Solving in Geometry 32. The sum of the measures of the three angles of a triangle is 180°. 3 40 180 5 40 180 5140 28 384 40 68 x x x x x […]
Elementary Education Chapter 2 This is the formula for the area of a trapezoid
Section 2.4 Formulas and Percents 23. 1 for 2 A ha b b 1 22 2 2 2 2 2 2 22 or Ahahb Aha hahbha Aha hb Aha hb hh Aha A bb a hh […]
Elementary Education Chapter 2 The formula indicates the median weekly earnings
Section 2.2 The Multiplication Property of Equality 72. a. The bar graph indicates the median weekly earnings, in 2013, for women with some college or an associate’s degree is $657. Since 2013 is 33 years after 1980, substitute 33 into […]
Elementary Education Chapter 3 Consumers will pay primarily with debit cards in
Chapter 3 Linear Equations in Two Variables 3.1 Check Points 1. 2. (4,2)E (2,0)F (6,0)G 3. a. 39 33(2) 9 36 9 99, true xy (3, 2) is a solution. 02(0)220,2 12(1)201,0 22(2)222,2 y […]
Elementary Education Chapter 3 Since And Are The Same The Line
Section 3.2 Graphing Linear Equations Using Intercepts 39. 23 11xy x-intercept: 11 2 y-intercept: 11 3 checkpoint: (−1, 3) Draw a line through 11 11 ,0 , 0, , 23 and (−1,3). (3,4). Plot these […]
Elementary Education Chapter 3 The Line Horizontal Its Slope The Slope
Chapter 3 Linear Equations in Two Variables 63. First we need to find the equation of the line with x−intercept of 2 and y− intercept of 4.− This line will pass through () 2, 0 and () 0, 4 .− […]
Elementary Education Chapter 3 Vertical lines cannot be expressed in slope-intercept
Section 3.4 The Slope-Intercept Form of the Equation of a Line 63. If the line rises from left to right, it has a positive slope. It passes through the origin, (0, 0) and a second point with equal x– and […]
Elementary Education Chapter 4 Average time per day men spend socializing
Mid-Chapter Check Point 6. 1 3 621 y x xy Substitute 1 3 y for x in the second equation and solve for y. 621 61 21 3 26 21 3621 327 9 yy yy y y y […]
Elementary Education Chapter 4 Substitute For Into The First Equation
Section 4.5 Systems of Linear Equations in Three Variables 44. Let x = the number of $2 packages sold. Let y = the number of $3 packages sold. Let z = the number of $4 packages sold. 12 612 24162 […]
Elementary Education Chapter 4 Test the ordered triple in each equation
Section 4.5 Systems of Linear Equations in Three Variables 4.5 Check Points 1. Test the ordered triple in each equation. 2 3 22 ( 1) 2 ( 4) 3 (5) 22 22 22, true xyz−+= −− −+ = = 23 […]
Elementary Education Chapter 4 The speed of the plane in still air is 630 miles per
Chapter 4 Review Exercises 49. Principal Rate = Interest 8% Investment 0.08 0.08 10% Investment 0.10 0.10 xx yy × Since the total investment is $10,000 the first equation is 10,000.xy+= Since the total interest is $940, the second equation […]
Elementary Education Chapter 4 The system will be inconsistent if the graphs
Section 4.2 Solving Systems of Linear Equations by the Substitution Method 39. 0.7 0.1 0.6 0.8 0.3 0.8 xy xy Multiply both sides of both equations by 10. 76 83 8 xy xy Solve the first […]
Elementary Education Chapter 4 The True Statement Indicates That The System
Chapter 4 Systems of Linear Equations 4.1 Check Points 1. a. To determine if (1,2) is a solution to the system, replace x with 1 and y with 2 in both equations. 23 4 2(1) 3(2) 4 26 4 44,true […]
Elementary Education Chapter 5 Exponents And Polynomials Make Table Values
Chapter 5 Exponents and Polynomials 5.1 Check Points 1. 32 32 32 32 3322 32 11 16 7 3 11 3 5 15 54820 xxxxxx xxx =− + + − − + − − =+−− 2. 32 32 32 11 […]
Elementary Education Chapter 5 Rewriting the expression does not change its
Section 5.6 Long Division of Polynomials; Synthetic Division 70. First, compute the difference: ()( ) 32 32 32 42 12 25 2334 xxx xxx xxx +−−− −+− =+−+ Now, complete the division: 32 2334 2 xxx x +−+ + 2 […]
Elementary Education Chapter 5 The addition method is a good choice because
Section 5.3 Special Products b. Since this product is of the form ()() A BAB+− , use the special-product formula 22 ()()ABAB A B+−=− . first term second term squared squared 22 2 (4 5)(4 5) (4 ) […]
Elementary Education Chapter 5 The average admission charge for a film in 1990
Mid-Chapter Check Point 3. ()( ) 2 2 12 21 20 35 12 35 xxx xx =−+− =−− 4. ()( ) ()( ) 35 47 35 47 12 xx xx x +− − =++−+ =− + ()( ) ()( ) […]
Elementary Education Chapter 5 add the opposite of the polynomial being subtracted
Chapter 5 Review Exercises 10. () 2 2 7 9 2 427 xx xx −+ −−− To subtract, add the opposite of the polynomial being subtracted. 2 2 2 792 427 379 xx xx xx −+ −++ −+ () () […]
Elementary Education Chapter 6 The Expression The Right Should Changed 3
Section 6.3 Factoring Trinomials Whose Leading Coefficient is Not 1 92. a. ()() 2 35231 2xx x x+−= − + b. ()() () () [][] ()() 2 31512 311 12 331 12 32 3 yy yy yy yy ++ +− […]
Elementary Education Chapter 6 Because the middle term is negative
Chapter 6 Factoring Polynomials 106. 2 4yx x=− To match this equation with its graph, find the intercepts. To find the y−intercept, let 0x=and solve for .y () 2 0400y=− = The y–intercept is 0, which means that the graph […]
Elementary Education Chapter 6 cannot be factored because the two terms
Chapter 6 Factoring Polynomials 6.1 Check Points 1. a. 32 22 18 3 6 15 3 5 xxx xx =⋅ =⋅ The GCF is 2 3.x b. 22 422 32 20 4 ( 5) 12 4 3 40 4 10 […]
Elementary Education Chapter 6 It will hit the ground after seconds or
Section 6.6 Solving Quadratic Equations by Factoring 9. ()() 2 8150 530 xx xx ++= ++= 5 0 or 3 0 5 3 xx xx += += =− =− Check −5: () () 2 2 8150 585150 25 40 15 […]
Elementary Education Chapter 7 makes two of the denominators zero in the original
Section 7.5 Complex Rational Expressions 34. 1 2 1 12 x x − −− LCD = 2x− () () () 1 211 2 121 3 21 2 xx xx xx − − == −− − −− […]
Elementary Education Chapter 7 Since the volume varies jointly as height
Chapter 7 Review Exercises 46. 11 2 2 22 2 2 122 36 66 6 263 22 xx xxxx xxx x xxx − −− == − −− − =⋅= − 49. 311 44xx =+ The restriction is 0.x≠ The LCD […]
Elementary Education Chapter 7 The difference in dosage is greatest at 5 years
Section 7.4 Adding and Subtracting Rational Expressions with Different Denominators 68. 4 75 y y −+ LCD = 5y+ () () 75 44 7555 754 5 7354 5 335 5 y yy yyy yy y yy y y y + […]
Elementary Education Chapter 7 the rational expression is defined for all real
Chapter 7 Rational Expressions 7.1 Check Points 1. a. 728 840 x x − − Set the denominator equal to 0 and solve for x. 8400 840 5 x x x −= = = The rational expression is undefined for […]
Elementary Education Chapter 7 The sum of two rational expressions is an
Section 7.6 Solving Rational Equations 49. 11 1 pq f += () () 11 fpq fpq pq pq fq fp pq fq p pq fq p pq qp qp pq fqp += += += […]
Elementary Education Chapter 7 billion people suffered from malnutrition in 2010
Section 7.7 Applications Using Rational Equations and Proportions 18. Let x = the maintenance bill on a store that is 4800 square feet. 22 $45,000 $ 180,000 ft 4800 ft 45,000 180,000 4800 1 4 4800 44800 1200 x x […]
Elementary Education Chapter 7 You do not add the common denominators
Section 7.3 Adding and Subtracting Rational Expressions with the Same Denominator 9. 813217 99 9 3xx xx +== 10. 41115 5 99 9 3xx xx +== 11. 549 33 3xx x += ++ + 12. 81018 66 6xx x += […]
Elementary Education Chapter 8 The graph satisfies the horizontal line test
Section 8.4 Composite and Inverse Functions 4. a. ()() () () () () 34 53 4 2 15 20 2 15 18 xx =−+=− b. ()() () () () () 52 35 2 4 15 6 4 15 2 gf […]
Elementary Education Chapter 8 the relation is a function because each country
Chapter 8 Basics of Functions 8.1 Check Points 1. The domain is the set of all first components. The domain is {0, 10, 20, 30, 40}. The range is the set of all second components. The range is {9.1, 6.7, […]
Elementary Education Chapter 9 slope-intercept form and can be graphed
Chapter 9 Inequalities and Problem Solving 37. 234 10 23 14 x x There are no values of x for which the absolute value of 23x is a negative number. By definition, absolute values are always positive. The […]
Elementary Education Chapter 9 The least possible number of nickels was 4
Section 9.2 Compound Inequalities 88. makes sense 89. makes sense 90. makes sense 91. makes sense 92. true 2 2 25 34 59 xxx xx 2 11519 gf 93. false; Changes to make the statement […]
Elementary Education Chapter 9 The national diversity index will be exceed
Chapter 9 Inequalities and Problem Solving 9.1 Check Points 1. 4323 420 5 x x 5, b. () 80 R xx c. () () () ( ) 80 (300,000 30 ) 80 300,000 30 50 300,000 […]
Elementary Education Chapter 9 We cannot use the origin this time
Section 9.4 Llnear Inequalities In Two Variables 11. 1 3 yx Replacing the inequality symbol with an equal sign, we have 1. 3 yx Since the equation is in slope- intercept form, use the slope and the intercept […]