21 (Multiple Choice Worth 1 points) (01.01) Evaluate 6 (3). 18 9 3 3 Question 22 (Multiple Choice Worth 1 points) (03.02) If f(x) = x + 5, what does f(8) represent? The value of x when (x + 5) = 8 The value of 8f(x) when x = 8 The value of f(x) when (x + 5) = 8 The value of (x + 5) when x = 8 Question 23 (Multiple Choice Worth 1 points) (2.07) The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm: A = 9 over 2(b + 35) Which of the following formulas correctly solves for the other base, b? b = 2A over 9 + 35 b = 2 multiplied by A over 9 35 b = 2 multiplied by A plus 35, all over 9 b = 2 multiplied by A minus 35, all over 9 Question 24 (Multiple Choice Worth 1 points) (05.01) The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7. Which pair of equations has (4, 8) as its solution? Equation A and Equation C Equation B and Equation C Equation C and Equation D Equation B and Equation D Question 25 (Multiple Choice Worth 1 points) (05.05) A graph is shown below: solid line joining ordered pair 0, negative 2 and 1, 3 and the region below this line is shaded Which of the following inequalities is best represented by this graph? 5x + y 2 5x + y 2 5x y 2 5x y 2 Question 26 (Multiple Choice Worth 1 points) (03_06) Choose the equation below that represents the line passing through the point (2, 5) with a slope of 3. y = 3x 13 y = 3x + 11 y = 3x + 13 y = 3x + 1 Question 27 (Multiple Choice Worth 1 points) (05.06) Joanne works two jobs to pay for college. She tutors for $25 per hour and also works as a receptionist for $12 per hour. Due to her class and study schedule, Joanne is only able to work up to 25 hours per week but must earn at least $200 per week. If t represents the number of hours Joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario? t + r greater than or equal to 25 25t + 12r = 200 t + r less than or equal to 25 25t + 12r less than or equal to 200 t + r less than or equal to 25 25t + 12r greater than or equal to 200 None of the systems shown represent this scenario. Question 28 (Multiple Choice Worth 1 points) (03.05) A video game club charges a fixed annual membership fee of $18 and $3 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $20 the next year? f(n) = 18n + 38 f(n) = 38n + 18 f(n) = 3n + 38 f(n) = 3n + 18 Question 29 (Multiple Choice Worth 1 points) (2.03) The table below shows two equations: Equation 1 |3x 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution, and equation 2 has solutions x = 0, 1. The solutions to equation 1 are x = 1.3, 2, and equation 2 has no solution. The solutions to equation 1 are x = 1.3, 2, and equation 2 has solutions x = 0, 1. Question 30 (Multiple Choice Worth 1 points) (03.07 LC) Choose the equation of the horizontal line that passes through the point (2, 3). x = 2 x = 3 y = 2 y = 3 Question 31 (Multiple Choice Worth 1 points) (2.07) Solve for x. ax + 3b > 5 x > the quantity 3 times b minus 5 all over a x > the quantity 5 minus 3 times b all over negative a x < the quantity 3 times b plus 5 all over a x < the quantity negative 3 times b plus 5 all over negative a Question 32 (Multiple Choice Worth 1 points) (01.03) Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete? [1 foot = 12 inches; 1 yard = 3 feet] 0.5 feet 1.5 feet 3 feet 6 feet Question 33 (Multiple Choice Worth 1 points) (04.05) The number of subscribers y to a newspaper after t years is shown by the equation below: y = 75(0.95)t Which conclusion is correct about the number of subscribers to the newspaper? It increased by 75% every year. It decreased by 75% every year. It increased by 5% every year. It decreased by 5% every year. Question 34 (Multiple Choice Worth 1 points) (04.07) The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f(t) left after time t: t(hours) 0 0.5 1 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t? f(t) = 100(0.25)t f(t) = 0.25(100)t f(t) = 100 (0.5)t f(t) = 0.25(50)t Question 35 (Multiple Choice Worth 1 points) (03.01) The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y 2 2 2 Which statement is true for the tables? Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function but Table B represents a function. Table A represents a function but Table B does not represent a function. Question 36 (Multiple Choice Worth 1 points) (05.03) Which of the following statements best describes the graph of 3x 2y = 4? It is a straight line joining the points (6, 2), (5, 1), and (7, 3). It is a straight line joining the points (0, 2), (2, 1), and (2, 5). It is a curve joining the points (3, 2), (2, 3), and (4, 1). It is a curve joining the points (0, 2), (2, 1), and (4, 1). Question 37 (Fill-In-The-Blank Worth 1 points) (05.02) A system of equations is shown below: 3x y = 2 x + y = 6 The xcoordinate of the solution to this system of equations is _____. Numerical Answers Expected! Answer for Blank 1: Question 38 (Multiple Choice Worth 1 points) (04.05) Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t: t (hours) 1 2 3 4 5 f(t) (mg) 150 90 54 32.4 19.4 Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below: f(t) = 200(0.976)t Which statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic between 1 hour to 4 hours? Maureen's body eliminated the antibiotic faster than Ken's body. Maureen's body eliminated the antibiotic at the same rate as Ken's body. Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic. Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic. Question 39 (Multiple Choice Worth 1 points) (05.03) The tables below show the values of f(x) and g(x) for different values of x: f(x) = 2(3)x x f(x) 2 0.22 1 0.67 0 2 1 6 2 18 g(x) = 3x + 1 x g(x) 2 1.11 1 1.33 0 2 1 4 2 10 Based on the tables, what is the solution to the equation 2(3)x = 3x + 1? x = 1 x = 0 x = 1 x = 2 Question 40 (Multiple Choice Worth 1 points) (01.07) An equation is shown below: 4(x 3) 5(x + 1) = 3 Which statement shows a correct next step in solving the equation? The equation can become 4x 12 5x 5 = 3 by applying the associative property of multiplication. The equation can become 4x 3 5x + 1 = 3 by applying the associative property of multiplication. The equation can become 4x 3 5x + 1 = 3 by applying the distributive property. The equation can become 4x 12 5x 5 = 3 by applying the distributive property. Question 41 (Multiple Choice Worth 1 points) (01.03) Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points: (11, 11.7), (15, 9.4), (25, 3.9), (35, 1.7), (45, 7.2) He uses the following steps to plot the graph: Label origin as (0, 0) On x-axis, label Temperature in Fahrenheit. On y-axis, label Temperature in degrees Celsius. The scale on x-axis starts from 0 and goes up to 700 at intervals of 20. The scale on the y-axis starts from 12 and goes up to 12 at intervals of 2. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis. Question 42 (Multiple Choice Worth 1 points) (04.02) An expression is shown below: square root of 18 plus square root of 2 Which statement is true about the expression? It is rational and equal to 3. It is rational and equal to 4. It is irrational and equal to 3 multiplied by the square root of 2. It is irrational and equal to 4 multiplied by the square root of 2. Question 43 (Multiple Choice Worth 1 points) (05.02) Two systems of equations are shown below: System A System B 3x + 2y = 3 x 14y = 1 2x 8y = 1 2x 8y = 1 Which of the following statements is correct about the two systems of equations? The value of x for System B will be onethird of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding 4 to the first equation of System A and the second equations are identical. They will have the same solution because they represent the same lines when plotted on the coordinate axes. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A. Question 44 (Multiple Choice Worth 1 points) (04.06) The sales totals at Linda's food store have increased exponentially over the months. Which of these best shows the sales in the first three months? $1200 in the first month, $1260 in the second month, and $1323 in the third month $1200 in the first month, $1250 in the second month, $1300 in the third month $1200 in the first month, $1272 in the second month, $1344 in the third month $1200 in the first month, $1285 in the second month, $1370 in the third month