Link full download test bank for intermediate algebra 7th edition by tobey

Test Bank for Intermediate Algebra 7th Edition by Tobey Chapter Linear Equations and Inequalities Exam Name MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Solve 1) 19 = -21 + a 1) A) a = 40 B) a = -40 C) a = -2 D) a = 2) -13 = -15 + y A) y = -2 B) y = 28 C) y = D) y = -28 3) -7x = 28 A) x = 35 B) x = C) x = -4 D) x = -35 4) 5x + 10 = 45 A) x = B) x = C) x = 34 D) x = 30 5) 8x - = A) x = 6) 3x - = -1 - 8x A) x= 2) 3) 4) 5) B) x = C) x = 12 D) x = 6) B) C) x= x= D) x=- 7) 15x - = 12x + 11 A) x = B) x = C) x = D) x = 7) 8) 39 + 4x + = 11x A) x = B) x = C) x = D) x = C) y = -37 D) y = 11 8) 9) 8y + 4(4 + y) = 3(y - 7) + 10y B) y = 37 A) y = -11 10) 8x + - 6x - = 10 A) 9) 10) x= B) x= C) 11) -7x + + 5x = -3x + 13 A) x = -8 C) any real number x= - D) x= 11) B) no solution D) x = 12) 4(x + 5) = 5(x - 3) A) x = B) x = 35 C) 13) 3x - + 6(x + 1) = 7x + A) x = B) x = - C) x = D) x = 14) 4(4x + 1) - 68 = 9x - A) x = -9 B) x = 63 C) x = 441 D) x = 15) - 9(y + 3) = - 2y A) y=- 16) - + D) No solution 13) 14) 15) B) y = C) y= D) y= 16) B) k = C) k = 14 D) k = 17) = A) y = -2 18) x=- k = - 10 A) k = -2 17) 12) B) y= C) y=- D) y = 102 18) - 27 = A) B) x = 15 x= C) x= D) x=- Solve the equation 19) + = A) x = 19) B) x= C) x = - D) x=- Solve 20) A) y = 65 21) 20) (y + 9) - 11 = - = -9y B) y = 38 C) y = 47 D) y = 14 21) A) 22) 2- B) y= 23) + 5+ 23) B) x = -12 24) C) x= D) x = 25) B) x=- x=- C) x=- D) x= 26) (x - 2) = x + B) x=- A) D) x = 12 =- (x - 24) - 27) C) x = -6 B) x = + A) D) y = 43 = 14 - (x + 9) 25) A) C) y = 37 = A) x = 28) y= 22) B) y = 53 A) x = 26) D) y= (y + 5) = -10 A) y = 13 24) C) y=- x=- C) x=- D) x=27) = B) x= + x= C) x = D) x = 16 28) =2 A) x = 16 B) x = C) x = D) 29) -10.3x + 1.4 = -74.2 - 1.9x A) x = -84 B) x = 7.3 C) x = D) x = 7.5 30) 1.2x + 4.2 = 0.6x - 1.14 A) x = 0.112 B) x = -9.79 C) x = -9 D) x = -8.9 31) 0.6(x - 3) = 24 A) x = 27 B) x = 37 C) x = 43 D) x = 45 32) 0.08 = 0.2x - A) x = 45.4 B) x = 8.88 C) x = 1.816 D) x = -44.6 C) x = 20 D) x = 30 x= 29) 30) 31) 32) 33) 0.30x - 0.20(60 + x) = -0.15(60) A) x = 15 B) x = 40 33) 34) 0.09y + 0.09(900 - y) = 0.50y A) y = 40.5 B) y = 324 C) y = 405 D) y = 162 35) + 0.5(5 - y) = 0.8y - 9(y - 0.7) A) y = B) C) D) y=- 34) y=- 36) 24x - - 2x = 8x + + 14x A) x = 24 C) no solution B) x = 11 D) any real number 37) 9x + 11(x + 1) = 20(x + 1) - A) x = 11 C) any real number B) x = D) no solution 38) 14x - 5(x + 4) = + 9(x + 7) A) x = 13 C) no solution B) x = 69 D) any real number 39) -6 + 37) 38) 39) =x-6+ Solve for y 40) 3x - 5y = A) y= B) any real number D) no solution 40) B) 41) 17x + 7y = 10 A) y= x- B) 42) 3x + 5y = 9x + A) y= B) 43) 5y + 7x = 8y - A) y= B) x= x= y= C) y= D) y = 3x - 41) y= C) y= D) y= 42) y= C) y = 6x + 12 D) C) D) y= 43) y= y= y= 44) y-5 A) y = x + 35 45) y=- 36) A) x = -6 C) x= 44) 35) B) y = x + C) y = 7x + 35 D) y = 7x + 45) y+ A) y = 14x - 49 B) y= C) y= D) y= 46) A) 46) =3-y B) y= Solve for the specified variable 47) d = rt for t A) t= 48) A = A) V= A) t= B) b= D) t = d - r b= C) D) b= b= 49) B) h= C) h = S - 2πr D) h= 50) h=V - B) π + h= C) D) h= h= 51) B) h= C) h= -1 D) h = 2π(S - r) 52) for B) S3 = P + S1 + S2 D) S3 = S1 + P - S2 53) C + 32 for C A) C= 54) P = 2L + 2W for W A) W = P - 2L 55) C) t = dr π h + F= y= 47) B) A) S3 = S1 + S2 - P C) S3 = P - S1 - S2 53) D) y= 48) 51) S = 2πrh + 2πr2 for h A) h = S - r 52) P = C) bh for b 49) S = 2πrh for h A) h = 2πrS 50) y= H= B) C= C) C= D) C= (F - 32) 54) B) W= C) W = P - L D) W= 55) (a + 2b); for b A) b = 3H - 5a - 10 B) C) D) b= (F - 32) b= b= 56) 4(9ax + y) = 7ax - 2y for x A) x=- Follow the given instructions 57) (a) Solve for h: V = 56) B) x=- x= D) x=- 57) h (b) Evaluate when V = 121 and b = 11 A) B) (a) h = (a) h = (b) 58) C) C) (b) (a) h = (b) 27 D) (a) h = (b) 58) (a) Solve for a: S = (b) Evaluate when S = and r = A) (a) a = S(1 - r) (b) C) (a) a = B) (a) a = (b) D) (a) a = S + (1 - r) (b) (b) Solve 59) 60) The formula for the perimeter of a rectangle is P = 2L + 2W Solve the formula for L Use this formula to find the length of the rectangle if the perimeter, P, is 30 feet and the width, W, is feet A) L = 12 feet B) L = feet C) L = 15 feet D) L = 24 feet 59) 60) The formula for the volume of a cone is V = Bh Solve the formula for B Use this formula to find the area of the base of the cone if the volume, V, is 14 cubic centimeters and the height, h, is centimeters A) B = 28 square centimeters B) B = square centimeters C) B = 21 square centimeters D) B = 16 square centimeters 61) 61) The formula for the area of a trapezoid is A = (b+B)h Solve the formula for h Use this formula to find the height of the trapezoid if the area, A, is 101.5 square meters, and the bases, b and B, are 11 meters and 18 meters A) h= meters C) h = 87 meters 62) B) h = 198 meters D) h = meters 62) The average price (in dollars) to rent a studio in a certain city can be approximated by the equation where t is the number of years since 1990 Solve this equation for t and use the new equation to determine approximately what year it will be when the average price of a studio in this city reaches $1310.00 A) 2015 B) 2016 C) 2014 D) 2017 63) Suppose economists use as a model of a country's economy the equation C = 0.6791D + 6.1083 where C represents the consumption of products in billions of dollars and D represents disposable income in billions of dollars Solve the equation for D and use the result to determine the disposable income D if the consumption C is $9.88 billion Round your answer to the nearest tenth of a billion A) $8.4 billion B) $5.6 billion C) $5.3 billion D) $12.8 billion Solve the absolute value equation 64) |x| = A) x = 36 64) B) x = -6, C) x = -6 D) x = 65) |x - 3| = A) x = -5, 11 B) x = 5, 11 C) x = 11 D) x = -5, -11 66) |2x + 10| = 22 A) x = -6, 16 B) x = -16, C) x = -16 D) x = 65) 66) 67) |4x - 9| = A) x= , 68) |5 - 8x| = A) x=69) 67) B) x=- ,- C) x=- ,- x= , 68) ,-1 B) x = 1, C) x= D) ,1 x = - 1, 69) A) x = -25, B) x = -4 C) x = 70) |0.6x - 0.4| = A) x = 0.5, 0.833 C) x = -0.833, -0.5 D) x = -10, -4 70) B) x = -2.333, D) x = -1, 2.333 71) =0 A) x=- 72) B) , x=- C) D) no solution x=- 72) = -12 A) C) 73) x=- B) no solution , D) x= x=73) = A) 74) D) =3 71) x=- 63) ,2 B) no solution C) x=- , D) x= 74) _ =3 A) x= B) ,- 75) C) x= 75) = A) B) no solution C) 76) |x + 4| + = 10 A) no solution B) x = -2, 10 C) x = 77) |2x + 8| + = 10 A) no solution B) x=- 78) |3x + 7| + = A) x= , 79) x =- D) , x=- ,- 76) D) x = -10, 77) x= , C) x=- D) ,- x=- ,78) B) no solution C) x=- ,- D) x=- ,- 79) - 8= A) x = -61, 43 80) B) no solution C) x = 43 D) x = 3, 43 80) + = 11 A) 81) B) x= x=- , C) no solution D) x=- , 81) + 2= A) C) x=- ,- x =- ,- 82) |11(x - 2)| - = A) x = 83) D) no solution x=- B) no solution D) x=- ,82) B) no solution C) x = 1, D) x= 83) -7 =7 A) x = - 20 ,3 B) x = 20, - 50 C) x = - 20, 50 D) x=- 84) 84) - = -1 A) B) x=- 85) |4x + 7| = |x - 3| A) x=, 86) x=- x= D) ,- x=- , 85) B) no solution C) x= D) , x=- ,- 86) = A) x = 16, 12 B) no solution 87) |0.6x + 13| = |x + 0.5| A) x = -8.437, 31.25 C) no solution 88) C) x = 16, D) x = 10 87) B) x = -2.571, -1.6 D) x = -7.812, 33.75 88) = |4x + 7| A) x=- B) ,- C) no solution D) 89) |1.3x + 2.9| = |x - 5| A) x = -1.043, -11.333 C) no solution 90) ,- x=- x= , 89) B) x = -1.714, -2.833 D) x = 0.913, -26.333 90) = A) 91) C) x= , 27 B) x = 9, C) x= , 27 D) x= 91) = A) x = -4, 12 B) x = 4, -12 C) x = -12 D) x = -4 Write an algebraic equation and use it to solve the problem 92) A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls If Joe's phone bill was $72 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary A) minutes B) 1140 minutes C) 11 minutes D) 1740 minutes 92) 93) Manuel can pay for his car insurance on a monthly basis, but if he pays an entire year's insurance in advance, he'll receive a $40 discount His discounted bill for the year would then be $632 What is the monthly fee for his insurance? A) $92.67 B) $56 C) $49.33 D) $52.67 93) 94) A poster in the shape of a triangle has one side that is five inches more the length of the shortest side, and another side that is three inches less than twice the shortest side Find the dimensions of the poster if its perimeter is 46 inches A) 11 inches, 16 inches, 20 inches B) 11 inches, 17 inches, 19 inches 94) C) 11 inches, 16 inches, 19 inches D) 12 inches, 16 inches, 19 inches 95) The length of a rectangular room is feet longer than twice the width If the room's perimeter is 174 feet, what are the room's dimensions? A) Width = 31 ft; length = 71 ft B) Width = 26 ft; length = 61 ft C) Width = 39 ft; length = 48 ft D) Width = 52 ft; length = 122 ft 95) 96) Six-eighths of a number is -18 What is the number? A) The number is -24 96) C) The number is - B) D) The number is - The number is - 97) The revenue of Company X quadruples Then it increases by $1.6 million to its present revenue of $23.6 What was the original revenue? A) The original revenue of Company X was $22 million B) The original revenue of Company X was $5.5 million C) The original revenue of Company X was $4.3 million D) The original revenue of Company X was $6.3 million 97) 98) Sergio's internet provider charges its customers $11 per month plus 3¢ per minute of on-line usage Sergio received a bill from the provider covering a period and was charged a total of $68.50 How many minutes did he spend on-line during that period? (Round to the nearest whole minute, if necessary.) A) 45 minutes B) 450 minutes C) 1712 minutes D) 1512 minutes 98) 99) City A experienced 18 armed robberies less than twice that of City B In the two cities combined, 252 armed robberies occurred How many armed robberies occurred in City A and in City B? A) City A: 72 armed robberies; City B: 180 armed robberies B) City A: 117 armed robberies; City B: 135 armed robberies C) City A: 138 armed robberies; City B: 78 armed robberies D) City A: 162 armed robberies; City B: 90 armed robberies 99) 100) The Four Flying Feldmans acrobat troupe is planning a nationwide tour They will give performances per week in various cities across the U.S The venues in which they will perform hold about 6000 people each, and concert tickets will sell for $25 each The advance expenses for each performance are $22,000, and the additional travel, lodging, meal, and miscellaneous costs are $36,000 per week How many weeks will the Four Flying Feldmans need to be on tour if each of them wants to earn $3,808,000 from the tour? A) 12 weeks B) 32 weeks C) weeks D) weeks 100) 101) During a road trip, Tonya drove one-third the distance that Lana drove Mark drove miles more than Lana The total distance they drove on the trip was 380 miles How many miles did each person drive? A) Tonya drove 477 miles, Lana drove 159 miles, and Mark drove 150 miles B) Tonya drove 50 miles, Lana drove 150 miles, and Mark drove 159 miles C) Tonya drove 53 miles, Lana drove 159 miles, and Mark drove 168 miles D) Tonya drove 159 miles, Lana drove 477 miles, and Mark drove 486 miles 101) 102) A hot air balloon spent several minutes ascending It then stayed at a level altitude for four times as long as it had ascended It took minutes less to descend than it did to ascend The entire trip took one hour and 37 minutes For how long was the balloon at a level altitude? A) 12 minutes B) 29 minutes C) 68 minutes D) 17 minutes 102) 103) The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson Squa re C) - D) A) x≤or x > - ≤x< 213) 2x - > and - x ≥ -9 A) All real numbers C) x ≥ 13 B) No solution D) < x ≤ 13 214) 8x + ≤ 38 and 3x - ≥ 10 A) x = C) x ≥ B) No solution D) All real numbers 215) -0.2x + 2.4 > 0.6x or 0.4x + 0.9 ≤ 2.9 A) All real numbers C) x ≤ B) x ≥ or x < D) x < 216) + ≥ and x A) 217) A) C) 218) 216) B) x ≥ C) - ≤x≤8 D) x≥ 217) B) or A) 214) ≥ ≤ x≤ < or 213) x≤ x< 218) >8 - 15 < x < - C) x < - 15 B) No solution D) x>- or x < - 15 219) 11x - ≥ 9x + and x - ≤ -1 A) All real numbers C) No solution B) x = D) ≤ x ≤ 219) 220) 6x - > 15 or - 3(x - 9) > - 2x A) All real numbers C) No solution B) x < D) x > 220) Solve the problem 221) The child-proof cap of a medicine bottle will not function properly if the radius r of the cap is more than 64.4 millimeters or less than 63.9 millimeters Express this as an inequality 221) A) 63.9 ≤ r ≤ 64.4 C) r < 63.9 or r > 64.4 B) 63.9 < r < 64.4 D) r ≤ 63.9 or r ≥ 64.4 222) The daily number of visitors v to an amusement park was always at least 837 but never more than 1213 Express this as an inequality A) 837 ≤ v ≤ 1213 B) v ≤ 837 or v ≥ 1213 C) 837 < v < 1213 D) v < 837 or v > 1213 222) 223) The formula C = 0.5x + 19 represents the estimated future cost of yearly attendance at State University, where C is the cost in thousands of dollars x years after 2002 Use a compound inequality to determine when the attendance costs will range from 24 to 26 thousand dollars A) From 2011 to 2015 B) From 2013 to 2017 C) From 2012 to 2016 D) From 2013 to 2015 223) 224) The formula for converting Fahrenheit temperatures to Celsius temperatures is 224) Use this formula to solve the problem In a certain city, the average temperature ranges from to Celsius Find an inequality that represents the range of Fahrenheit temperatures If necessary, round to the nearest tenth of a degree A) 6.8° ≤ F ≤ 89.6° B) 24.2° ≤ F ≤ 49.8° C) -57.2° ≤ F ≤ 25.6° D) -25.2° ≤ F ≤ 57.6° 225) Cindy has scores of 72, 81, 84, and 90 on her biology tests Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course The final exam counts as two tests, and a C is received if the course average is between 70 and 79 A) 11.5 ≤ final score ≤ 34 B) 70 ≤ final score ≤ 79 C) 93 ≤ final score ≤ 147 D) 46.5 ≤ final score ≤ 73.5 225) 226) At one point the exchange equation for converting American dollars into Japanese yen was Y = 129(d - 4) where d is the number of American dollars, Y is the number of yen, and $4 is a one-time bank fee charged for currency conversions Use this equation to solve the following problem Ariel is traveling to Japan for weeks and has been advised to have between 19,000 and 30,000 yen for spending money for each week he is there Write an inequality that represents the number of American dollars he will need to bring to the bank to exchange money for this 3-week period A) $441.89 ≤ d ≤ $697.71 B) $441.95 ≤ d ≤ $697.77 C) $453.86 ≤ d ≤ $709.67 D) $445.86 ≤ d ≤ $701.67 226) Solve and graph the solutions 227) 11 248) |8x - 6| ≥ A) ≤x≤ B) C) D) x≤ or x ≥ 249) |10 - 5x| > 25 A) x < - or x > C) -7 < x < 248) x≥ x≤ or x > 249) B) x < -7 or x > D) - < x < 250) |0.2x - 0.4| ≥ A) -17 ≤ x ≤ 13 C) x ≤ -13 or x ≥ 17 251) 250) B) x ≤ -17 or x ≥ 13 D) -13 ≤ x ≤ 17 251) >6 A) x < -17 or x > 13 C) -17 < x < 13 252) B) x < -13 or x > 17 D) -13 < x < 17 252) ≥ A) x ≤ or x ≥ 10 C) x ≤ -10 or x ≥ -6 253) B) ≤ x ≤ 10 D) -10 ≤ x ≤ -6 253) >4 A) x > 12 or x < B) C) D) < x < 12 x> 254) or x < 9 A) C) x D)