Intermediate algebra 11th edition lial test bank

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Decide if the statement is true or false 1) 16 is a solution of -8x = -128 1) _ A) True B) False 2) -16 is a solution of 3x = -44 A) True B) False 3) -6 is a solution of -6x - = 33 A) True B) False 4) -11 is a solution of -4x + = 53 A) True B) False 5) -4 is a solution of -5x + 5x = A) True B) False 6) is a solution of -6x - 9x = 16 A) True B) False 7) -2 is a solution of 9x + 2x = 10x A) True B) False 2) _ 3) _ 4) _ 5) _ 6) _ 7) _ Decide whether the following is an expression or an equation 8) 9x + + 6x + A) Expression B) Equation 9) 3x - (2x - 1) = A) Equation 9) _ B) Expression 10) 9(5x + 3) = 8(9x - 6) A) Equation B) Expression 11) 5(8x + 5) - 7(2x - 7) A) Expression B) Equation 12) - 9x + - 3x + 10 = A) Expression B) Equation 13) 3(2x - 2) = 5(x + 4) A) Expression B) Equation 10) 11) 12) 13) 14) -4(x - 9) - 3(x + 8) - 10x A) Expression Solve the equation 15) 14x - = 11 A) 16) 3s + = -9s 8) _ 14) B) Equation 15) B) C) D) 16) A) 17) 23t - 16 = 15t - 10 A) B) C) D) B) C) D) 17) 18) 5(x + 5) = (5x + 25) A) {0} C) {50} 18) B) ∅ D) {All real numbers} 19) (y - 7) - (y + 7) = 9y A) B) C) D) 20) 12(6c - 2) = 5c - A) B) C) D) 21) 4(y + 7) = 5(y - 3) A) {13} B) {-13} C) {-43} D) {43} 22) 3m + + 5(2m - 3) = 3(m + 3) A) B) C) D) 23) -6x + 5(-2x - 5) = -32 - 9x A) {1} C) D) C) D) 19) 20) 21) 22) 23) B) {-1} 24) -[8x + (2x + 7)] = - (9x + 3) A) B) 24) Decide whether the equation is conditional, an identity, or a contradiction Give the solution set 25) 16m + = 2(5m + 21) A) Contradiction; ∅ B) Conditional; {6} C) Identity; {all real numbers} D) Conditional; {-8} 26) 3(27t + 6) = 9(5t - 2) A) Conditional; {-0} C) Identity; {all real numbers} B) Conditional; {-1} D) Contradiction; ∅ 27) 5(2f - 31) = 10f - 155 A) Identity; {all real numbers} C) Contradiction; ∅ B) Conditional; {0} D) Identity; ∅ 28) 2(3g + 34) - 6g - 68 = A) Conditional; {3} C) Contradiction; ∅ 29) 20k + = 5(4k - 1) 25) 26) 27) 28) B) Conditional; {0} D) Identity; {all real numbers} 29) A) Conditional; {-4} C) Identity; {all real numbers} B) Conditional; {4} D) Contradiction; ∅ 30) -6s - + 3(2s + 1) = A) Contradiction; ∅ C) Identity; {all real numbers} B) Conditional; {2} D) Conditional; {1} 31) 3x + 8(x + 1) + = 11 - 6x A) Contradiction; ∅ C) Conditional; {1} B) Conditional; {0} D) Identity; {all real numbers} 32) 30) 31) - r = -10 + 3(2 + 3r) A) Conditional; {10} C) Identity; {all real numbers} 32) B) Conditional; {-5} D) Contradiction; ∅ Solve the equation 33) 33) -5=1 A) {16} B) {-24} C) {24} D) {-16} 34) 34) =4 A) {-60} B) {-120} C) {120} D) {60} 35) 35) =3 A) {-24} B) {24} C) {21} D) {-21} 36) 36) = A) {-4} B) {3} C) {4} D) {-12} 37) 37) = -6 A) {-29} B) {31} C) {29} D) {-31} 38) 38) -4=4 A) {48} B) {-50} C) {50} D) {-48} 39) 39) - 10 = -5 A) {22} B) {20} C) {-20} D) {-22} 40) 40) + A) =B) 41) 0.01x + 0.1(x + 20,000) = 2220 C) D) 41) A) {20,000} B) {200} C) {2000} D) {200,000} 42) -0.08y + 0.13(9000 - y) = 0.29y A) {5850} B) {7020} C) {2340} D) {585} 43) -0.5(30,000) + 0.15p = 0.02(30,000 +p) A) {20,280} B) {1,200,000} C) {120,000} D) {2028} Provide an appropriate response 44) 2x - = + 7x - Is this a linear equation? A) Yes 42) 43) 44) B) No 45) 45) = 83 Is this a linear equation? A) No 46) - = 3x Is this a linear equation? A) No B) Yes 46) B) Yes SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 47) If one step in the solution of an equation is 75 = -32, what is the final solution of the 47) _ equation? 48) True or false? This pair of equations is equivalent 48) _ and 49) True or false? The solution set of the equation 7y - = 7y + is {0} Explain 49) _ 50) True or false? The solution set of the equation 6(5s - 9) = 30s - 54 is {1} Explain 50) _ 51) Find all values of s that make this statement true: 51) _ MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Solve the equation for the specified variable Use the distributive property to factor as necessary 52) -8k + ar = r - 8y for r 52) A) B) r= or r = C) r= or r = r= or r = D) r= or r = 53) 5s + 5p = - for p A) p= 53) B) or p = C) p= or p = D) p= or p = 54) p= or p = 54) w= for y A) B) y= or y = C) y= or y = y= or y = D) y= or y = 55) 55) c= A) for t B) t= or t = C) t= or t = t= or t = D) t= or t = Solve the equation for y 56) 4x + 5y = A) 56) B) y = - 20x + 30 C) y= y= 57) - 5x + 7y = A) y= 57) C) y = 35x + 21 B) y= y= 58) 6x - 7y = A) y= D) D) y= 58) B) , or y = C) y= , or y = D) y= , or y = 59) - 7x - 7y = A) y= y= , or y = 59) B) , or y = C) y= , or y = y= , or y = D) y= , or y = Solve the problem 60) Find the corresponding Celsius temperature for a temperature of 232°F Round to the nearest tenth, if necessary A) 449.6°C B) 360°C C) 125.3°C D) 111.1°C 60) 61) Find the corresponding Fahrenheit temperature for a temperature of 88°C Round to the nearest tenth, if necessary A) 216°F B) 31.1°F C) 66.7°F D) 190.4°F 61) 62) What is the perimeter of a rectangle of length 25 ft and width 10 ft? A) 70 ft B) 60 ft C) 140 ft 62) 63) What is the area of a square with side 1.8 cm? A) 3.24 B) 3.6 D) 35 ft 63) C) D) 12.96 64) Find the area of a triangle with height m and base 12 m A) 144 B) 72 C) 64) D) 36 65) Find the surface area of a cylinder with a radius of cm and a height of 40 cm Use 3.14 for π A) 514.96 B) 502.4 C) 527.52 D) 1507.2 65) 66) Jay drove 355 km at an average rate of 71 km/hr How long did the trip take? A) hr B) C) hr D) hr 66) hr 67) Janet drove 272 km, and the trip took hr At what average rate was Janet traveling? A) B) 68 km/hr C) 69 km/hr D) 1088 km/hr 67) km/hr 68) The area of a trapezoid is 57 square feet If the bases are ft and 14 ft, find the altitude of the trapezoid A) 12 ft B) ft C) ft D) 1.5 ft 68) 69) A circle has a circumference of 44π m Find the radius of the circle A) 22 m B) m C) 11 m 69) D) 44 m 70) Find the simple interest if $3800 is borrowed at 14.9% for months A) $283.10 B) $1132.40 C) $127.52 70) D) $28,310.00 71) Find the simple interest if $3300 is invested at 6.9% for years A) $227.70 B) $1913.04 C) $910.80 D) $56.92 71) 72) Find the total amount in an account if $800 is invested at 17% simple interest for 1.5 years A) $870.59 B) $204.00 C) $936.00 D) $1004.00 72) 73) Find the total amount that must be repaid if $2800 is borrowed at 14.9% simple interest for years A) $3175.84 B) $834.40 C) $3634.40 D) $3217.20 73) 74) A chemical solution contains 7% salt How much salt is in ml of solution? Round your answer to three decimal places, if necessary A) 28.571 ml B) 0.14 ml C) 1.4 ml D) 2.857 ml 74) 75) During one year, the Larsons' real estate bill included $585 for local schools Of this amount, $245 went to the high school district What percent did the Larsons pay to the high school district? Round your answer to two decimal places A) 41.88% B) 41.71% C) 58.12% D) 34.00% 75) 76) A mixture of chlorine and water contains a total of 93 gallons of liquid There are 64 gallons of pure chlorine in the mixture (i) What percent of the mixture is water? (ii) What percent of the mixture is chlorine? Round your answer to the nearest percent, if necessary A) (i) 64% water; (ii) 36% chlorine B) (i) 69% water; (ii) 31% chlorine C) (i) 15% water; (ii) 85% chlorine D) (i) 31% water; (ii) 69% chlorine 76) 77) The graph shows the percent of students at a local high school who were enrolled in a foreign language class each school year during the 1980s 77) _ _ What is the best estimate for the number of students taking a language in 1986 if a total of 2970 students were enrolled in the school? A) 2118 students B) 2168 students C) 51 students D) 802 students 78) The graph shows the percent of students at a local high school who were enrolled in a foreign language class each school year during the 1980s 78) What is the best estimate for the number of students not taking a language in 1984 if a total of 3510 students were enrolled in the school? A) 2211 students B) 1299 students C) 5616 students D) 1249 students 79) When a loan scheduled to run n payments is paid off k payments ahead of schedule, the amount 79) of unearned interest u is given by u = f ∙ , where f is the total scheduled finance charge The finance charge on a loan taken out by Ivan is $632 If there were 18 equal monthly installments needed to repay the loan, and the loan is paid in full with 15 months remaining, find the amount of unearned interest (Round your answer to the nearest cent.) A) $12.39 B) $433.73 C) $443.51 D) $22.18 80) When a loan scheduled to run n payments is paid off k payments ahead of schedule, the amount of unearned interest u is given by u = f ∙ , where f is the total scheduled finance charge The finance charge on a loan taken out by Ajay is $679 If there were 24 equal monthly installments needed to repay the loan, and the loan is paid in full with 11 months remaining, find nce the charge tota paid l (Round fina your answer to the nearest cent.) 80) _ _ A) $149.38 B) $205.96 C) $529.62 D) $679.00 81) 81) The formula A = gives the approximate annual interest rate for a consumer loan paid off with monthly payments, where f is the finance charge on the loan, p is the number of payments, and b is the original amount of the loan Find the approximate annual interest rate for an automobile loan to be repaid in 48 monthly installments if the finance charge on the loan is $521 and the original loan balance is necessary.) A) 91.14% B) 92.7% (Round your answer to two decimal places, if C) 95.02% D) 87.26% 82) Students at East Central High School earned $760 selling pennants They want to make $3980 for a club trip What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary A) 52% B) 1.9% C) 19.1% D) 5.2% 82) 83) Tech Support spent $43,790 this year on advertising alone If total sales were $736,200, what percent of total sales was spent on advertising? Round to the nearest tenth of a percent, if necessary A) 0.6% B) 168% C) 16.8% D) 5.9% 83) 84) A printer priced at $581 is sold for $411 What was the percent of price reduction? Round to the nearest tenth of a percent, if necessary A) 29.3% B) 141.4% C) 70.7% D) 341.8% 84) SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Provide an appropriate response 85) Suppose the formula A = 2πrh + 2π is solved for r with the following result: r = 85) _ Is this an acceptable solution? Explain 86) 86) _ Suppose the formula s = g + t is solved for t with the following result: Is this an acceptable solution? Explain MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 87) 87) Which of the following is not a correct answer when the formula A) B) C) is solved for b? D) -B 88) Whiof the ch followi ng is not 88) a correct answer when the formula _ _ is solved for h? A) B) C) D) SHORT ANSWER Write the word or phrase that best completes each statement or answers the question 89) The volume of a rectangular solid is to be 36 cubic units Give two sets of possible 89) _ dimensions for the solid MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 90) In order to purchase molding for a window, would you need to use perimeter or area to decide 90) how much to buy? A) Area B) Perimeter 91) In order to purchase tile for a floor, would you need to use perimeter or area to decide how much to buy? A) Perimeter B) Area Translate the verbal phrase into a mathematical expression Use x to represent the unknown number 92) 70 more than a number A) 70 + x B) 70 C) 70 - x D) 70x 93) 66 greater than a number A) x - 66 B) 66x C) 66 D) x + 66 94) 58 less than a number A) 58 - x B) 58x C) x - 58 D) x + 58 91) 92) 93) 94) 95) times a number A) 95) B) 4x C) - x D) + x 96) A number divided by 98 A) 98x B) C) 98 + x D) 98 - x 97) 135 divided by some number A) 135 - x B) C) 135 + x D) 135x 98) Four times a number added to A) 4x(7 + x) B) 4x - C) 4(x + 7) D) 4x + 96) 97) 98) 99) The product of and less than a number A) 6(1 - x) B) 6(x + 1) 99) C) 6x - D) 6(x - 1) 100) The product of more than a number and less than the number A) x + 4(x - 2) B) (x + 4) - C) (x + 4)(x - 2) 101) The quotient of 30 and ten times a nonzero number A) B) C) (x ≠ 0) 100) _ D) (x + 4)(2 - x) 101) _ D) (x = 0) (x ≠ 0) (x ≠ 0) Use the variable x for the unknown, and write an equation representing the verbal sentence Then solve the problem 102) Four times a number added to times the number equals 33 102) _ A) 7x + 4x = 33; B) 4x(7 + x) = 33; -3 C) 7x - 4x = 33; D) 4(x + 7) = 33x; -3 103) When times a number is subtracted from times the number, the result is 16 A) 5(x - 7) = 16x; B) 7x - 5x = 16; C) 5x(7 - x) = 16; -8 D) 5x + 8x = 16; 103) _ 104) If times a number is added to -10, the result is equal to 13 times the number A) 13(3x - 10) = -10; -1 B) 3x + (-10) = 13x; -1 C) 3x + 10x = 13; D) 3x - (-10) = 13x; 104) _ 105) 105) _ When A) of a number is added to 20, the result is 38 B) x - 20 = 38; 232 C) + x = 38; 38 D) 38 + x = 20; 72 20 + x = 38; 72 106) When 50% of a number is subtracted from 70, the result is less than the number A) 70 - 0.5x = x - 2; 48 B) 70 - 50 = x - 2; 22 C) 0.5x - 70 = x - 2; -136 D) 70 + 0.5x = x - 2; 144 106) _ Decide whether the following is an expression or an equation Simplify any expression or solve any equation 107) 9x - (5x - 1) = 107) _ A) Expression; 2x + B) Equation; D) Expression; 5x + C) Equation; 108) 3(2x - 4) = 5(x + 3) A) Equation; {27} C) Expression; 5x + B) Expression; 5x - D) Equation; {-3} 109) - 5(2x + 6) + 4(9x + 9) A) Expression; 26x + C) Expression; -3x + B) Equation; {26} D) Equation; {- 40} 110) 2(x + 5) - 3(x - 8) = 108) _ 109) _ 110) _ _ A) (5, -5) B) (5, ∞) C) ∅ D) (-∞, -5) Solve the given equation or inequality If an equation is given, then write the solution set in set notation If an inequality is given, then write the solution set in interval notation 293) 293) _ + = 15 A) {- 15, 15} 294) B) {12} D) {- 12, 12} 294) _ -5=8 A) {10} 295) |h - 4| + ≤ A) (-1,9) 296) C) {- 15} B) {13, -13} C) {12, 15} D) {10, -16} B) [-1,9] C) [-1,7] D) ∅ 295) _ 296) _ + < 12 A) B) C) ∅ D) ∪ 297) |4x + 7| + < A) 297) _ B) ∪ D) ∅ C) 298) |3y - 3| - > -13 A) 298) _ B) ∅ C) 299) D) (-∞, ∞) 299) _ + = A) B) C) D) ∪ 300) + 0.2 ≥ 0.7 300) _ A) {3, 8} B) (-∞, 3] ∩ [8, ∞) C) (-∞, 3] ∪ [8, ∞) D) (3, 8) Solve the equation 301) 301) _ = A) {16, 12} B) {0} C) {16, 0} D) ∅ 302) = A) B) C) ∅ D) 303) = A) B) C) ∅ D) 304) 302) _ 303) _ 304) _ = A) 305) B) C) ∅ D) B) {9} C) D) ∅ B) ∅ C) {4} D) 305) _ = A) 306) 306) _ = A) 307) 307) _ = A) B) ∅ C) B) {-2} C) ∅ D) Solve the equation or inequality 308) = -2 A) 309) C) ∅ D) 310) _ B) (-∞, 5) C) {5} D) {-5, 5} 311) _ > -5 A) ∅ 313) 309) _ B) =0 A) (-5,∞) 311) 312) D) {2} = -6 A) 310) 308) _ B) ≤0 A) {6} ≥0 C) (-∞, ∞) D) 312) _ B) {-6} C) (-∞, -6) D) ∅ 313) _ A) (-∞, -4) ∪ (-4, ∞) C) (-∞, ∞) 314) |6x - 5| - < -9 A) 315) |5x - 1| - > -8 A) (-∞, ∞) B) [-4, 4] D) ∅ 314) _ B) C) B) C) ∅ D) ∅ 315) _ D) Provide an appropriate response 316) Determine which of the following is used to solve the equation A) ax + b = c C) ax + b = c and ax + b = -c , for c > 316) _ B) ax + b = -c D) ax + b = c or ax + b = -c 317) Determine which of the following is used to solve the inequality , for c > A) -c < ax + b < c B) ax + b < c C) -c < ax + b > c D) ax + b < c or ax + b < -c 317) _ 318) Determine which of the following is used to solve the inequality , for c > A) ax + b > c or ax + b > -c B) ax + b > c and ax + b < -c C) ax + b > c or ax + b < -c D) ax + b < c and ax + b > -c 318) _ 319) Give the number of solutions for = k if k < A) C) 319) _ B) D) An infinite number 320) Give the number of solutions for > k if k < A) C) B) An infinite number D) 320) _ 321) Give an equation or inequality that states the distance between A) 2x - < B) |2x + 7| > -6 C) |2x - 7| > Solve the equation 322) 4(2x + 4) - 2(x - 4) = 3x + 60 + x A) {42} B) {26} 323) 0.8x - 0.4(40 + x) = A) {40} is less than D) |2x - 7| < 321) _ 322) _ C) {18} D) {34} C) {25} D) {50} 323) _ B) {60} 324) 324) _ + A) {-10} = B) ∅ C) {5} D) (-∞, ∞) Solve the equation Then tell whether the equation is a conditional equation, an identity, or a contradiction 325) 2x - (6 - x) + 3x + = 6x + 325) _ A) {14}; conditional equation B) (-∞, ∞); identity C) ∅; contradiction D) {2}; conditional equation 326) 326) _ +9= -4+ 13 A) {0}; conditional equation C) ∅; contradiction 327) -3(3x + 2) = -16 - 8x + 9x A) {1}; conditional equation C) {-1}; conditional equation Solve 328) - + wy - x = for w A) w= 327) _ B) (-∞, ∞); identity D) ∅; contradiction 328) _ B) C) w= 329) 3s + 5p = - for p A) p= B) (-∞, ∞); identity D) {11}; conditional equation w= w=329) _ B) or p = C) D) p= or p = D) p= or p = p= or p = Solve the problem 330) A plane climbs from an altitude of 11,000 ft to a cruising altitude of 33,000 ft The plane ascends at a rate of 2750 ft/min How long will it take to reach cruising altitude? A) 0.1 B) 60,500,000 C) 16 D) 330) _ 331) A certificate of deposit pays $2493.75 in simple interest for yr on a principal on $37,500 What is the rate of interest? A) 7.65% B) 6.65% C) 6.7% D) 6.6% 331) _ 332) Allied Plumbing spent $33,990 this year on health insurance alone If total sales were 332) _ what percent of total sales was spent on percent, if necessary A) 143% B) 14.3% Round to the nearest tenth of a C) 7% D) 0.7% 333) Walt made an extra $10,000 last year from a part-time job He invested part of the money at 10% and the rest at 9% He made a total of $970 in interest How much did he invest at each rate? A) $3000 at 9%; $7000 at 10% B) $3000 at 9%; $8000 at 10% C) $7000 at 9%; $3000 at 10% D) $5000 at 9%; $7000 at 10% 333) _ 334) Jill is kilometers away from Joe Both begin to walk toward each other at the same time Jill walks at 2.5 km/hr They meet in hours How fast is Joe walking? A) 2.25 km/hr B) km/hr C) km/hr D) km/hr 334) _ 335) Find the measure of each angle 335) _ A) , , B) , , C) , , Solve the inequality Give the solution set in both interval and graph forms 336) - 5(x + 2) ≤ -8 - 2(x + 5) + 2x D) , , 336) _ A) (2, ∞) B) [2, ∞) C) (-∞, 2) D) (-∞, 2] 337) 337) _ - x > -2 A) (-∞, 14) B) [14, ∞) C) (14, ∞) D) (-∞, 14] 338) < y + ≤ 338) _ A) [-1, 3] B) [-1, 3) C) (-1, 3) D) (-1, 3] 339) -13 ≤ x - ≤ 11 339) _ A) (-9, 9) B) (-∞, -9] ∪ [9, ∞) C) [9, ∞) D) [-9, 9] Solve the problem 340) Which one of the following inequalities is equivalent to b ≥ 2? A) -3 b ≤ - -6 B) -3 b ≥ - -6 C) -3 b ≥ -6 340) _ D) -3 b ≤ -6 341) Raymond plans on playing rounds of golf while on vacation He wants his average to be 90 or less His scores for the first rounds were 88, 92, 91, and 89 What does he need to score on the last round to meet his goal? A) 80 or less B) 86 or less C) 90 or less D) 90 or more Find the indicated intersection or union 342) Let A = {2, 6, 14, 15, 23} and B = {6, 15, 23, 25} Write the set A ∩ B A) {2, 6, 15, 23} B) {6, 15, 23, 25} C) {6, 15, 23} D) {2, 6, 14, 15, 23, 25} 342) _ 343) Let A = {4, 7, 10, 17} and B = {7, 17, 23, 29} Write the set A ∪ B A) {4, 7, 17, 23} B) {4, 7, 10, 17, 23, 29} C) {7, 17, 23} D) {7, 17} Solve the compound or absolute value inequality 344) 24 ≤ 9x - and 9x - 10 < 53 A) (3, 7] B) [3, 7) 345) -4x ≤ -12 or 6x - < 2x A) (-∞, 1) ∪ [3, ∞) 346) |7x - 2| < A) 341) _ 343) _ 344) _ C) [3, 7] D) (3, 7) 345) _ B) (1, 3) C) ∅ D) [1, 3] 346) _ B) ∅ ∪ C) D) 347) ∣9 - 9x∣ ≥ A) 347) _ B) ∪ [5, ∞) C) [ , ∞) D) ∪ 348) 348) _ ≤ -13 A) (-∞, ∞) B) [7, 20] C) [5, 20] 349) |- 7x - 1| - < -3 A) D) ∅ 349) _ B) ∪ D) ∅ C) Solve the absolute value equation 350) |7k + 4| - = A) (-∞, ∞) 351) |3s + 3| = |- - s| A) 350) _ B) C) D) ∅ B) C) D) {1} 351) _ Answer the question 352) If k < 0, what is the solution set of A) ∅ B) {0} 352) _ k 354) If k < 0, what is the solution set of A) {0} B) ∅ =k D) 353) _ C) {0} D) ∅ C) D) (-∞, ∞) 354) _ 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42) 43) 44) 45) 46) 47) 48) 49) 50) 51) A B A B A B B A A A A B B A D C B D C B D D A C B B A D D A B C C D A A A A B C C C C A A A The solution set is ∅ True Each has the solution set {3} False The equation is a contradiction, and thus the solution set is ∅ False The equation is an identity, and thus the solution set is {all real numbers} Since the equation is an identity, the solution set is {all real numbers} 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) 69) 70) 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 83) 84) 85) 86) 87) 88) 89) 90) 91) 92) 93) 94) 95) 96) 97) 98) 99) 100) 101) 102) 103) C B C D C D A C D D A A D C C B C A A C D C B A D B B C C A C D A No The variable r should not appear on both sides of the equation in the solution No The variable t should not appear on both sides of the equation in the solution B A Answers will vary, but the product of the three dimensions must be 36 B B A D C B B B D D C C A B 104) 105) 106) 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) 134) 135) 136) 137) 138) 139) 140) 141) 142) 143) 144) 145) 146) 147) 148) 149) 150) 151) 152) 153) 154) 155) B D A C A A B B D C D B D A D B B C A D C D B A D C C A C C D A B D B C D A A B A B A B C D D B A A D C 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) D D A C B B B D B A C Answers will vary An example would be: One number is twice another and their sum is 60 Find the larger number To solve this problem, the equation would be The problem asks for the larger number, which is 168) 90 - r 169) A 170) Answers will vary The student was not wrong For example, if the problem asked to find the total amount, she may have intended to provide her final result in cents and not in dollars Furthermore, if she had wanted to provide a final result in dollars, all she would need to is divide the final result in cents by 100 As long as she was consistent in her use of denominations based on cents, her results would be valid 171) No Not enough information is given 172) Yes You would need to convert the rate to miles per minute or the time to hours before proceeding to solve for the distance in miles 173) D 174) B 175) C 176) C 177) A 178) A 179) A 180) C 181) B 182) B 183) A 184) A 185) C 186) B 187) B 188) A 189) B 190) D 191) D 192) A 193) B 194) A 195) A 196) B 197) A 198) D 199) B 200) D 201) C 202) 203) 204) 205) 206) 207) 208) 209) 210) 211) C C B C C A B A When multiplying or dividing by a negative number No, since you don't have to divide or multiply by a negative number The fact that the number you are dividing into is negative is irrelevant (Explanations will vary.) 212) Choice (a) is not 213) No The second statement only follows from the first if a and b are either both positive or both negative Divide both sides of the original inequality by (ab) If a and b are of opposite signs, then (ab) < When dividing by a negative number, the inequality sign must be reversed (thus, then its reciprocal is undefined (Explanations will vary ) > , and > ).In addition, if a (or b) is zero, 214) Yes, since > > b 215) Yes Adding a positive or negative number to both sides of an inequality produces an equivalent inequality (Explanations will vary.) 216) No Multiplying an inequality by a negative number requires reversing the inequality symbol (Explanations will vary.) 217) No It is only true that ≤ if ≤ For example, it is true that -5 ≤ -3 However, it is not true that ≤ since 25 > (Explanations will vary ) 218) 219) 220) 221) 222) 223) 224) 225) 226) 227) 228) 229) 230) 231) 232) 233) 234) 235) 236) 237) 238) 239) 240) 241) 242) 243) 244) C D B B D A D A C C B A B C A D D B B C A C A A A A D 245) 246) 247) 248) 249) 250) 251) 252) 253) 254) 255) 256) 257) 258) 259) 260) 261) 262) 263) 264) 265) 266) 267) 268) 269) 270) 271) 272) 273) 274) 275) 276) 277) 278) 279) 280) 281) 282) 283) 284) 285) 286) 287) 288) 289) 290) 291) 292) 293) 294) 295) 296) A A B C D D A B C A C C C D C C A B B A B A A B A D C A C C B A A A C B D B A C A D A A A C D C D D B A 297) 298) 299) 300) 301) 302) 303) 304) 305) 306) 307) 308) 309) 310) 311) 312) 313) 314) 315) 316) 317) 318) 319) 320) 321) 322) 323) 324) 325) 326) 327) 328) 329) 330) 331) 332) 333) 334) 335) 336) 337) 338) 339) 340) 341) 342) 343) 344) 345) 346) 347) 348) D D D C C D B A A D D C C C C B C D A D A C B B D C D D C B A C C D B C A D C B A D D D C C B B A D D D 349) 350) 351) 352) 353) 354) C C A A B B ... has a perimeter of 1300 ft One side is 100 ft longer than the shortest side, while the third side is 300 ft longer than the shortest side Find the lengths of all three sides A) 300 ft, 400 ft,... more than 250 miles 200) Jim has gotten scores of 71 and 87 on his first two tests What score must he get on his third test to keep an average of 80 or greater? A) At least 81 B) At least 79 C)... She has more dimes than nickels How many nickels does she have? A) B) C) 18 D) 13 141) _ 142) A bank teller has some five-dollar bills and some twenty-dollar bills The teller has more of the twenties