Mathematics with applications 9th edition lial test bank

CHAPTER FORM A Name _ MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Determine whether the given ordered pair is a solution of the given equation 1) 3x + y = 12; (3, 3) A) Yes B) No Give the x-intercepts and y-intercepts of the graph 2) y 10 -5 -10 10 x -5 -10 A) x-intercept: -5; y-intercept: -7 B) x-intercept: 7; y-intercept: C) x-intercept: -7; y-intercept: -5 D) x-intercept: 5; y-intercept: Find the x-intercepts and y-intercepts of the graph of the equation 3) -2x + y = A) x-intercept: -4; y-intercept: -3 B) x-intercept: -1; y-intercept: C) x-intercept: 2; y-intercept: -1 D) x-intercept: -3; y-intercept: -4 Use a graphing calculator to find the graph of the equation 4) f(x) = (x - 4)3 + A) y -8 -6 -4 -2 -2 -4 -6 -8 17 x B) y -8 -6 -4 -2 x x x -2 -4 -6 -8 C) y -8 -6 -4 -2 -2 -4 -6 -8 D) y -8 -6 -4 -2 -2 -4 -6 -8 18 Solve the problem 5) Big "D" Sales 1989-1990 Month What were the total sales for the first months of 1990? A) $366,000 B) $302,000 C) $64,000 D) $286,000 C) D) -2 Find the slope of the line, if it is defined 6) Through (1, -2) and (3, -4) A) B) -1 Identify whether the slope is positive, negative, zero, or undefined 7) y 10 -10 -5 10 x -5 -10 A) Undefined B) Negative C) Zero D) Positive Find an equation of the the line satisfying the given conditions 8) Through (0, 4); m = A) -6x + 7y = 28 B) 7x - 6y = -28 C) -6x + 7y = -28 D) -6x - 7y = 28 9) Through (-5, 12); perpendicular to -2x + 5y = 50 A) 5x - 2y = 50 B) 5x + 2y = -1 19 C) -2x - 5y = -1 D) 5x - 2y = -1 Convert the temperature 10) 55°F = °C A) 67.0°C B) 131.0°C C) 12.8°C D) 1.4°C Solve the problem 11) Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 240x + 4200, where S(x) represents the number of sales in year x, with x = corresponding to 1982 Find the number of sales in 1988 A) 11,280 B) 5400 C) 5640 D) 11,040 Find the equation of the least squares line Round values to the nearest hundredth, if necessary x2 12) y 11 13 20 A) y' = 3x B) y' = 2.8x + 15 C) y' = 3x + 15 D) y' = 2.8x Solve and graph the inequality and graph the solution 13) a + < A) (-∞, -3] -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -8 -7 -6 -5 -4 -3 -2 -1 -8 -7 -6 -5 -4 -3 -2 -1 -8 -7 -6 -5 -4 -3 -2 -1 B) (-3, ∞) -10 -9 C) [-3, ∞) -10 -9 D) (-∞, -3) -10 -9 Solve the problem 14) A rectangular enclosure must have an area of at least 200 yd2 If 60 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie? A) 10 ≤ w ≤ 15 B) ≤ w ≤ 10 C) 15 ≤ w ≤ 20 20 D) 10 ≤ w ≤ 20 Graph the solution of the inequality 15) ∣r - 2.5∣ < A) -8 -6 -4 -2 B) -8 -6 -4 -2 C) -8 -6 -4 -2 D) -8 -6 -4 -2 Write the statement using absolute value 16) x is more than units from -9 A) x > -6 B) x + > C) x > -12 Solve the inequality and graph the solution 17) v2 - 8v + 12 ≥ A) (-∞, 2] or [6, ∞) B) [6, ∞) C) (-∞, 2] D) [2, 6] Solve the inequality 2x 18) A) (-∞, -5) or (3, ∞) B) (3, ∞) C) (-5, 3) D) (-∞, -5) Solve the problem 20) The profit made when t units are sold, t > 0, is given by P = t2 - 36t + 323 Determine the number of units to be sold in order for P = (the break- even point) A) t = -19 or t = -17 B) t > 19 C) t = 36 D) t = 19 or t = 17 22 Answer Key Testname: CHAPTER FORM A 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) A B B D A B D A B C C A D A A B A B A D 23 CHAPTER FORM B Name _ MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Determine whether the given ordered pair is a solution of the given equation 1) 5x + 4y - 40 = 0; (4, 5) A) No B) Yes Give the x-intercepts and y-intercepts of the graph 2) y 10 -10 -5 10 x -5 -10 A) x-intercept: 1; y-intercepts: -1, B) x-intercept: -1; y-intercepts: C) x-intercepts: -1, 1; y-intercept: -1 D) x-intercept: 1; y-intercepts: -1 24 Sketch the graph of the equation 3) y = x2 + A) B) y -10 y 10 10 5 -5 10 x -10 -5 -5 -5 -10 -10 C) 10 x 10 x D) y -10 y 10 10 5 -5 10 x -10 -5 -5 -5 -10 -10 Use a graphing calculator to approximate all real solutions of the equation 4) f(x) = x3 - 75x - 250 A) -5, -5, 10 B) 5, -5, 10 C) -5, 5, 10 25 D) -10, -5, Solve the problem 5) y 800 700 600 500 400 300 200 100 1990 1991 1992 1993 1994 1995 1996 1997 1998 x Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991 The graph shows the number of cars sold as a function of time What is the approximate number of cars sold in 1995? A) 700 B) 750 C) 350 D) 600 Find the slope and the y-intercept of the line 6) -5y = -2x - 24 A) m = - ; b = -5 C) m = - ; b = -24 B) m = 24 ;b= 5 D) m = 24 ;b= Identify whether the slope is positive, negative, zero, or undefined 7) y 10 -10 -5 10 x -5 -10 A) Positive B) Negative C) Undefined D) Zero Decide whether the pair of lines is parallel, perpendicular, or neither 8) The line through (3, -5) and (-1, 7) and the line through (6, -13) and (-2, 11) A) Parallel B) Neither 26 C) Perpendicular Use a graphing calculator to find the graph of the equation 4) y = x3 - 3x + A) y -5 -4 -3 -2 -1 x x x -1 -2 -3 -4 -5 B) y -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 C) y -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 32 D) y -5 -4 -3 -2 -1 x -1 -2 -3 -4 -5 Solve the problem 5) Big "D" Sales 1989-1990 Month Which month in 1989 had the lowest sales? A) Month B) Month C) Month Find the slope and the y-intercept of the line 6) 5x - 4y = 12 A) m = ; b = 12 C) m = B) m = -5; b = ; b = -3 D) m = 0; b = 33 D) Month Choose one of the four lines graphed which most closely resembles the graph of the given equation 7) y = -4x + A) B) -8 -6 -4 y 6 4 2 -2 x -6 -8 -4 -2 -2 -2 -4 -4 -6 -6 -8 -8 C) y x x D) -8 -6 -4 y 6 4 2 -2 x -6 -8 -4 y -2 -2 -2 -4 -4 -6 -6 -8 -8 Find the x- and y-intercepts for the equation Then graph the equation 8) 8y - 2x = -6 A) (0, - ), (-3, 0) B) (0, - ), (3, 0) y -10 y 10 10 5 -5 10 x -10 -5 -5 -5 -10 -10 34 10 x Write an equation in standard form for a line passing through the pair of points 9) (-2, -6) and (5, -8) A) -4x - 13y = -124 B) 2x - 7y = 46 C) 4x + 13y = -124 D) -2x - 7y = 46 Convert the temperature 10) 193°C = °F A) 405.0°F B) 139.2°F C) 201.2°F D) 379.4°F Compute r, the coefficient of correlation 11) The test scores of randomly picked students and the number of hours they prepared are as follows: Hours 10 5 3 Score 54 99 56 99 70 72 A) -.2241 B) 6039 C) -.6781 D) 2015 Solve the problem using your calculator 12) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands) Use linear regression to find a linear function that predicts the number of products sold as a function of the cost of advertising Cost 9 10 Number 85 52 55 68 67 86 83 73 A) y = 26.4 + 1.42x B) y = -26.4 - 1.42x C) y = 55.8 + 2.79x D) y = 55.8 - 2.79x Solve and graph the inequality and graph the solution 13) -8z + ≤ -9z - A) (-8, ∞) -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -8 -7 -6 -5 -4 -5 -4 -3 -2 -1 B) [-11, ∞) C) (-∞, -11] -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 D) (-∞, -8) -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 35 Solve the problem 14) A retailer knows that n games can be sold in a month if the price is 30 - 0.3n dollars per game If he buys each game for $9, and if he wishes to make a profit of at least $360 per month on sales of this game, how many games must he sell each month? A) 30 ≤ n ≤ 40 B) 30 ≤ n ≤ 70 C) 20 ≤ n ≤ 30 D) 20 ≤ n ≤ 35 Graph the solution of the inequality 15) ∣8x - 4∣ ≥ A) -8 -6 -4 -2 B) -8 -6 -4 -2 C) -8 -6 -4 -2 D) -8 -6 -4 -2 Write the statement using absolute value 16) x is within units of A) x - ≥ B) x - < C) x - > Solve the inequality and graph the solution 17) (x - 9)(x + 3) > A) (-∞, -9) or (3, ∞) -9 B) (-∞, -3) or (9, ∞) -3 -3 C) (-3, 9) D) (-3, ∞) -3 36 D) x - ≤ Solve the inequality 18) p - 36p ≤ 19) A) (-∞, -6) or [0, 6] B) (-∞, -6] or [0, 6] C) (-∞, -6] or (0, 6) D) (-∞, -6) or (0, 6) -5x + >0 5x2 + A) -∞, B) -∞, C) -∞, - D) - ,∞ Solve the problem 20) The profit made when t units are sold, t > 0, is given by P = t2 - 30t + 209 Determine the number of units to be sold in order for P < (a loss is taken) A) t = 11 or t = 19 B) t < 11 or t > 19 C) t > D) 11 < t < 19 37 Answer Key Testname: CHAPTER FORM C 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) B B D C D C D B D D B C C A C D B B B D 38 CHAPTER FORM D Name _ MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Determine whether the given ordered pair is a solution of the given equation x2 y2 1) + = 1; (1, -1) A) Yes B) No Graph the linear equation 2) -9x = y - A) B) y -10 y 10 10 5 -5 10 x -10 -5 -5 -5 -10 -10 C) 10 x 10 x D) y -10 y 10 10 5 -5 10 x -10 -5 -5 -5 -10 -10 39 Give the x-intercepts and y-intercepts of the graph 3) y 10 -5 -10 10 x -5 -10 A) x-intercept: B) x-intercept: -1 C) y-intercept: -1 D) y-intercept: Find the x-intercepts and y-intercepts of the graph of the equation 4) y = x2 + A) y-intercept (0, 8), x-intercept (8, 0) B) y-intercept (8, 0), no x-intercepts C) x-intercept (8, 0), no y-intercepts D) y-intercept (0, 8), no x-intercepts Use a graphing calculator to find the graph of the equation 5) y = x4 + x3 - 5x2 - 4x + A) y -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 40 x B) y -5 -4 -3 -2 -1 x x x -1 -2 -3 -4 -5 C) y -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 D) y -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 41 Solve the problem 6) The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below How high will the projectile be after 3.9 s? 600 h 500 400 300 200 100 t A) 550 ft B) 400 ft C) 450 ft D) 500 ft Write an equation in slope-intercept form of a line satisfying the given conditions 7) Slope - ; y-intercept 3 A) y = x3 B) y = - x3 C) y = - x+ 3 D) y = x+ 3 Identify whether the slope is positive, negative, zero, or undefined 8) y 10 -10 -5 10 x -5 -10 A) Positive B) Undefined C) Negative 42 D) Zero Find the x- and y-intercepts for the equation Then graph the equation 9) 5x - 15y = 30 A) (0, -2), (-6, 0) B) (0, -2), (6, 0) y -10 y 10 10 5 -5 x 10 -10 -5 -5 -5 -10 -10 10 x Find an equation of the the line satisfying the given conditions 10) Through (0, 5); m = A) 6x + 7y = -35 B) 7x + 6y = -35 C) 6x + 7y = 35 D) 6x - 7y = 35 11) Through (-3, -12); parallel to -6x - 7y = 53 A) -7x - 6y = -12 B) -6x - 7y = 102 C) -6x + 7y = 102 D) -3x - 7y = 53 Solve the problem 12) The outdoor temperature rises by 6° Fahrenheit What is this temperature in Celsius? A) 6° B) 3.3° C) -26° D) -14.4° 13) A biologist recorded snakes on 14 acres in one area and snakes on 31 acres in another area Let y be the number of snakes in x acres Write an equation for the number of snakes Assume the relationship between the number of snakes and the number of acres is linear (that is, the equation you produce will be linear) A) y = x + 12 B) 17y = 7x + 64 C) 17y = 7x - 64 D) 17y = 7x + 12 Find the equation of the least squares line Round values to the nearest hundredth, if necessary x 12 14 16 18 20 14) y 54 53 55 54 56 A) y' = 25x + 50.4 B) y' = 3x + 50 C) y' = 54 D) y' = 55.3 43 Solve the problem 15) The equation y = 0.003x + 0.20 can be used to determine the approximate cost, y in dollars, of producing x items How many items must be produced so the cost will be no more than $275? A) ≤ x ≤ 91,733.33 B) ≤ x ≤ 91,600 C) x > 91,600 D) x > 91,733.33 Solve the inequality 16) Fantastic Flags, Inc., finds that the cost to make x flags is C = 9x + 14,542, while the revenue produced from them is R = 41x (C and R are in dollars) What is the smallest whole number of flags, x, that must be sold for the company to show a profit? A) 455 B) 465,344 C) 727,100 D) 291 C) s - ≤ D) s - ≥ Write the statement using absolute value 17) s is at least units from A) s - > B) s - < Solve the inequality and graph the solution 18) x2 + 5x ≤ -4 A) (-∞, 1] or [4, ∞) -4 -1 4 B) [-4, -1] C) [1, 4] D) (1, 4) Solve the inequality x2 - 10x + 19) >0 x-5 A) (-∞, -9) or (-1, 5) B) (-∞, 5) or (-9, ∞) C) (1, 5) or (9, ∞) D) (-9, 5) 44 Solve the problem 20) If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t2 + 107.8t During what interval of time will the rocket be higher than 274.4 m? A) < t < B) < t < C) < t < 11 45 D) < t < Answer Key Testname: CHAPTER FORM D 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) B B D D C D C A B C B D C A B A D B C B 46