Algebra for college students 7th edition lial test bank

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MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Decide if the statement is true or false 1) -4 is a solution of -3x = 12 1) _ A) True B) False 2) 14 is a solution of 6x = 85 A) True B) False 3) is a solution of 5x - = 23 A) True B) False 4) is a solution of -3x + = -2 A) True B) False 5) -6 is a solution of -6x + 5x = A) True B) False 6) is a solution of -9x - 2x = -3 A) True B) False 7) is a solution of -9x + 3x = -7x A) True B) False 2) _ 3) _ 4) _ 5) _ 6) _ 7) _ Decide whether the following is an expression or an equation 8) -10x - + 6x + A) Equation B) Expression 9) 8x - (7x - 1) = A) Equation 9) _ B) Expression 10) 7(4x + 2) = 2(9x - 9) A) Equation B) Expression 11) 3(4x + 7) - 8(5x - 4) A) Equation B) Expression 12) - 7x + - 3x + 10 = A) Equation B) Expression 13) 5(2x - 4) = 9(x + 3) A) Equation B) Expression 10) 11) 12) 13) 14) -4(x - 9) - 3(x + 4) - 8x A) Equation Solve the equation 15) 14x + = A) 16) -11s + 12 = -15s 8) _ 14) B) Expression 15) B) C) D) 16) A) 17) 23t - 11 = 8t + A) B) C) D) B) C) D) 17) 18) 3(x + 5) = (3x + 15) A) {0} C) ∅ 18) B) {All real numbers} D) {30} 19) (y - 9) - (y + 6) = 8y A) B) C) D) 20) 15(4c - 2) = 5c - A) B) C) D) 21) 2(y + 7) = 3(y - 5) A) {29} B) {-1} C) {-29} D) {1} 22) 4m + + 2(3m - 4) = 4(m + 4) A) B) C) D) 23) -3x + 2(2x - 3) = -1 - 4x A) {-1} B) C) D) {1} 24) -[8x + (4x + 3)] = - (2x + 4) A) B) C) D) 19) 20) 21) 22) 23) 24) Decide whether the equation is conditional, an identity, or a contradiction Give the solution set 25) 21m + 12 = 3(3m + 20) A) Contradiction; ∅ B) Conditional; {4} C) Conditional; {-6} D) Identity; {all real numbers} 26) 4(24t + 16) = 16(2t - 4) A) Conditional; {-2} C) Conditional; {-0} B) Contradiction; ∅ D) Identity; {all real numbers} 27) 5(2f - 31) = 10f - 155 A) Conditional; {0} C) Identity; ∅ B) Contradiction; ∅ D) Identity; {all real numbers} 28) 2(5g + 13) - 10g - 26 = A) Contradiction; ∅ C) Conditional; {0} 29) 9k + 32 = 3(3k + 8) 25) 26) 27) 28) B) Identity; {all real numbers} D) Conditional; {5} 29) A) Contradiction; ∅ C) Identity; {all real numbers} B) Conditional; {-3} D) Conditional; {3} 30) -15s + 38 + 3(5s - 10) = A) Identity; {all real numbers} C) Conditional; {1} B) Conditional; {5} D) Contradiction; ∅ 31) 4x + 9(x + 1) + = 13 - 2x A) Identity; {all real numbers} C) Conditional; {0} B) Conditional; {1} D) Contradiction; ∅ 32) - r = -6 + 3(2 + 3r) A) Conditional; {-3} C) Conditional; {6} 30) 31) 32) B) Identity; {all real numbers} D) Contradiction; ∅ Solve the equation 33) 33) -3=1 A) {-24} B) {24} C) {12} D) {-12} 34) 34) =3 A) {-90} B) {45} C) {90} D) {-45} 35) 35) =3 A) {-21} B) {24} C) {21} D) {-24} 36) 36) = A) {-12} B) {3} C) {4} D) {-4} 37) 37) = -4 A) {-13} B) {13} C) {-11} D) {11} 38) 38) + = 13 A) {-27} B) {27} C) {25} D) {-25} 39) 39) - = -5 A) {22} B) {24} C) {-22} D) {-24} 40) 40) + =- A) 41) -0.07x + 0.11(x + 2200) = 250 B) C) D) 41) A) {20} B) {200} C) {20,000} D) {2000} 42) 0.05y + 0.09(3000 - y) = 0.46y A) {135} B) {1350} C) {1620} D) {540} 43) -0.5(30,000) + 0.15p = 0.02(30,000 +p) A) {120,000} B) {2028} C) {20,280} D) {1,200,000} 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) Yes 46) - = 3x Is this a linear equation? A) Yes B) No 46) B) No 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 -16 = -22, 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 3(6s - 4) = 18s - 12 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) -5k + ar = r - 6y for r 52) A) B) r= or r = C) r= or r = D) r= or r = 53) -6s + 5p = - for p A) p= r= 53) B) or p = C) or r = p= or p = p= or p = D) p= or p = 54) 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) 8x + 2y = A) 56) B) y= y= 57) - 8x + 5y = A) y= 57) C) y = 40x + 45 B) y= y= 58) 5x - 2y = A) y= D) y = - 16x + 10 C) D) y= 58) B) , or y = C) y= , or y = D) y= , or y = 59) - 2x - 2y = 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 147°F Round to the nearest tenth, if necessary A) 63.9°C B) 207°C C) 296.6°C D) 78.1°C 60) 61) Find the corresponding Fahrenheit temperature for a temperature of 65°C Round to the nearest tenth, if necessary A) 53.9°F B) 18.3°F C) 174.6°F D) 149°F 61) 62) What is the perimeter of a rectangle of length 35 ft and width 15 ft? A) 85 ft B) 100 ft C) 200 ft 62) 63) What is the area of a square with side 2.9 cm? A) 33.64 B) 8.41 D) 50 ft 63) C) 5.8 D) 24 64) Find the area of a triangle with height 12 m and base 15 m A) 13.5 B) 360 C) 90 64) D) 180 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) 810.12 B) 772.44 C) 3014.4 D) 753.6 65) 66) Jay drove 400 km at an average rate of 80 km/hr How long did the trip take? A) hr B) C) hr D) hr 66) hr 67) Janet drove 248 km, and the trip took hr At what average rate was Janet traveling? A) 992 km/hr B) C) 62 km/hr D) 63 km/hr 67) km/hr 68) The area of a trapezoid is 80 square feet If the bases are ft and 12 ft, find the altitude of the trapezoid A) 16 ft B) 1.5 ft C) ft D) ft 68) 69) A circle has a circumference of 24π m Find the radius of the circle A) m B) 12 m C) m 69) D) 24 m 70) Find the simple interest if $900 is borrowed at 12.1% for months A) $54.45 B) $217.80 C) $37.19 70) D) $5445.00 71) Find the simple interest if $2800 is invested at 18.3% for 3.5 years A) $146.40 B) $512.40 C) $535.52 D) $1793.40 71) 72) Find the total amount in an account if $1500 is invested at 12% simple interest for 3.5 years A) $1680.00 B) $630.00 C) $2130.00 D) $1937.50 72) 73) Find the total amount that must be repaid if $900 is borrowed at 7% simple interest for 4.5 years A) $1478.57 B) $283.50 C) $1183.50 D) $963.00 73) 74) A chemical solution contains 9% salt How much salt is in ml of solution? Round your answer to three decimal places, if necessary A) 0.27 ml B) 3.333 ml C) 33.333 ml D) 2.7 ml 74) 75) During one year, the Larsons' real estate bill included $439 for local schools Of this amount, $210 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) 22.90% B) 47.61% C) 47.84% D) 52.16% 75) 76) A mixture of chlorine and water contains a total of 92 gallons of liquid There are 63 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) 20% water; (ii) 80% chlorine B) (i) 63% water; (ii) 37% chlorine C) (i) 32% water; (ii) 68% chlorine D) (i) 68% water; (ii) 32% 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 3460 students were enrolled in the school? A) 51 students B) 934 students C) 2576 students D) 2526 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 2840 students were enrolled in the school? A) 1051 students B) 4544 students C) 1101 students D) 1789 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 Kathy is $744 If there were 24 equal monthly installments needed to repay the loan, and the loan is paid in full with 14 months remaining, find the amount of unearned interest (Round your answer to the nearest cent.) A) $136.40 B) $260.40 C) $245.30 D) $121.30 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 Kathy is $540 If there were 48 equal monthly installments needed to repay the loan, and the loan is paid in full with months remaining, find the charge tota paid l (Round fina your nce answer to the nearest cent.) 80) _ _ A) $540.00 B) $376.53 C) $16.53 D) $523.47 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 36 monthly installments if the finance charge on the loan is $620 and the original loan balance is necessary.) A) 17.79% B) 16.83% (Round your answer to two decimal places, if C) 15.87% D) 17.29% 82) Students at East Central High School earned $880 selling pennants They want to make $4560 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) 19.3% D) 5.2% 82) 83) Best Office Machines spent $19,040 this year on advertising alone If total sales were $199,600, what percent of total sales was spent on advertising? Round to the nearest tenth of a percent, if necessary A) 10.5% B) 1% C) 105% D) 9.5% 83) 84) A printer priced at $374 is sold for $326 What was the percent of price reduction? Round to the nearest tenth of a percent, if necessary A) 12.8% B) 114.7% C) 87.2% D) 779.2% 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) 88) Which of the following is not 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 gutters for a roof, would you need to use perimeter or area to decide how 90) much to buy? A) Perimeter B) Area 91) In order to purchase fabric for a tablecloth, would you need to use perimeter or area to decide how much to buy? A) Area B) Perimeter Translate the verbal phrase into a mathematical expression Use x to represent the unknown number 92) 120 more than a number A) 120 - x B) 120x C) 120 + x D) 120 93) 30 greater than a number A) 30 B) x + 30 C) x - 30 D) 30x 94) 95 less than a number A) x - 95 B) 95 - x C) x + 95 D) 95x 95) times a number A) + x B) 5x C) - x D) 96) A number divided by 55 A) 55 - x B) 55 + x C) D) 55x 97) 262 divided by some number A) 262x B) 262 - x C) 262 + x D) 98) Four times a number added to A) 4(x + 7) B) 4x - C) 4x(7 + x) D) 4x + 99) The product of and less than a number A) 5(x + 2) B) 5(x - 2) C) 5(2 - x) D) 5x - 92) 93) 94) 95) 96) 97) 98) 99) 100) The product of more than a number and less than the number A) (x + 4)(x - 3) B) (x + 4)(3 - x) C) (x + 4) - D) x + 4(x - 3) 101) The quotient of 19 and ten times a nonzero number A) B) C) D) (x ≠ 0) 91) (x ≠ 0) 100) _ 101) _ (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 55 102) _ A) 4(x + 7) = 55x; -5 B) 7x - 4x = 55; C) 4x(7 + x) = 55; -5 D) 7x + 4x = 55; 103) When times a number is subtracted from times the number, the result is 36 A) 3x(7 - x) = 36; -9 B) 3(x - 7) = 36x; C) 7x - 3x = 36; D) 3x + 9x = 36; 103) _ 104) If times a number is added to -9, the result is equal to 13 times the number A) 4x + 9x = 13; B) 13(4x - 9) = -9; -1 C) 4x - (-9) = 13x; D) 4x + (-9) = 13x; -1 104) _ 105) 105) _ When A) of a number is added to 24, the result is 28 B) + x = 28; 28 x - 24 = 28; 208 C) D) 28 + x = 24; 16 24 + x = 28; 16 106) When 50% of a number is subtracted from 70, the result is less than the number A) 70 - 0.5x = x - 2; 48 B) 0.5x - 70 = x - 2; -136 C) 70 - 50 = x - 2; 22 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) 5x - (3x - 1) = 107) _ A) Expression; 3x + B) Equation; D) Expression; 2x + C) Equation; 108) 2(2x - 4) = 3(x + 3) A) Equation; {-1} C) Expression; 3x - 108) _ B) Equation; {17} D) Expression; 3x + 109) - 7(9x + 5) + 2(5x + 4) A) Equation; {- 98} C) Equation; {-53} B) Expression; -53x - 27 D) Expression; 2x - 110) 2(x + 8) - 3(x - 2) = A) Expression; 2x + C) Equation; {10} B) Equation; {22} D) Expression; 2x - 109) _ 110) _ 111) 111) _ xA) x+ x-1 B) Equation; Equation; C) D) Expression; x-1 Expression; x-1 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) _ + = 13 A) {8} 294) B) {- 13} D) {- 13, 13} 294) _ -5=8 A) {12} 295) |h + 8| - ≤ A) [-13,-3] 296) C) {- 8, 8} B) {12, -14} C) {14, 13} D) {13, -13} B) ∅ C) (-13,-3) D) [-13,0] 295) _ 296) _ -6 -8 A) 298) _ 299) 299) _ + = A) B) C) D) ∪ 300) 300) _ + 0.1 ≥ 0.8 A) (1, 4.5) C) (-∞, 1] ∪ [4.5, ∞) B) (-∞, 1] ∩ [4.5, ∞) D) {1, 4.5} Solve the equation 301) = A) {16, 12} 302) = A) 301) _ B) {16, 0} C) {0} D) ∅ C) D) ∅ 302) _ B) 303) = A) 304) 303) _ B) 306) D) 304) _ = A) ∅ 305) C) ∅ B) D) 305) _ = A) {10} B) ∅ C) B) C) ∅ D) 306) _ = A) {14} 307) C) D) 307) _ = A) ∅ B) C) B) {-2} C) ∅ D) Solve the equation or inequality 308) = -2 A) {2} 309) 310) 309) _ B) C) D) B) (-7,∞) C) (-∞, 7) D) {-7, 7} 310) _ =0 A) {7} 311) 311) _ > -5 A) ∅ 313) D) = -8 A) ∅ 312) 308) _ ≤0 A) (-∞, -1) ≥0 A) (-∞, 8) ∪ (8, ∞) B) (-∞, ∞) C) B) {-1} C) ∅ D) 312) _ D) {1} 313) _ B) ∅ C) [8, -8] D) (-∞, ∞) 314) |3x - 3| + < A) B) ∅ C) D) 315) |4x - 9| - > -14 A) B) ∅ C) (-∞, ∞) D) 314) _ 315) _ Provide an appropriate response 316) Determine which of the following is used to solve the equation A) ax + b = -c , for c > B) ax + b = c or ax + b = -c 316) _ C) ax + b = c and ax + b = -c D) ax + b = c 317) Determine which of the following is used to solve the inequality A) ax + b < c B) -c < ax + b > c C) ax + b < c or ax + b < -c D) -c < ax + b < c , for c > 317) _ 318) Determine which of the following is used to solve the inequality , for c > A) ax + b < c and ax + b > -c B) ax + b > c or ax + b < -c C) ax + b > c and ax + b < -c D) ax + b > c or ax + b > -c 318) _ 319) Give the number of solutions for = k if k < A) An infinite number C) 319) _ 320) Give the number of solutions for > k if k < A) C) B) D) 320) _ B) An infinite number D) 321) Give an equation or inequality that states the distance between A) 2x - < B) |2x + 4| > -5 C) |2x - 4| < Solve the equation 322) 5(3x - 6) - 6(x + 8) = 2x + + x A) {-34} B) {-16} 323) 0.5x - 0.3(50 + x) = -3 A) {30} is less than D) |2x - 4| > 321) _ 322) _ C) {-64} D) {14} C) {50} D) {60} 323) _ B) {70} 324) 324) _ + A) (-∞, ∞) = B) {8} C) ∅ D) {-16} Solve the equation Then tell whether the equation is a conditional equation, an identity, or a contradiction 325) 2x - (3 - x) + 5x + = 8x + 325) _ A) {2}; conditional equation B) (-∞, ∞); identity C) ∅; contradiction D) {8}; conditional equation 326) 326) _ +7= -5+ 12 A) {0}; conditional equation C) ∅; contradiction 327) -3(3x + 4) = -4 - 8x - 9x A) ∅; contradiction C) {-1}; conditional equation Solve 328) - + wy - x = for w A) w=- B) (-∞, ∞); identity D) {7}; conditional equation 327) _ B) {1}; conditional equation D) (-∞, ∞); identity 328) _ B) C) w= D) w= w= 329) 8s + 6p = - for p A) p= 329) _ B) or p = p= C) or p = D) p= or p = p= or p = Solve the problem 330) A plane climbs from an altitude of 3000 ft to a cruising altitude of 37,000 ft The plane ascends at a rate of 4250 ft/min How long will it take to reach cruising altitude? A) 0.1 B) C) 144,500,000 D) min 330) _ 331) A certificate of deposit pays $2294.25 in simple interest for yr on a principal on $34,500 What is the rate of interest? A) 6.6% B) 7.65% C) 6.7% D) 6.65% 331) _ 332) Tech Support spent $24,830 this year on utility costs alone If total sales were 332) _ percent of total sales was spent on necessary A) 98% B) 10.2% what Round to the nearest tenth of a percent, if C) 9.8% D) 1% 333) Walt made an extra $9000 last year from a part-time job He invested part of the money at 8% and the rest at 9% He made a total of $760 in interest How much did he invest at each rate? A) $5000 at 9%; $4000 at 8% B) $4000 at 9%; $7000 at 8% C) $4000 at 9%; $5000 at 8% D) $4500 at 9%; $5000 at 8% 333) _ 334) Jill is 22.5 kilometers away from Joe Both begin to walk toward each other at the same time Jill walks at km/hr They meet in hours How fast is Joe walking? A) 2.5 km/hr B) 12.5 km/hr C) 6.5 km/hr D) 2.25 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) - 3(x + 6) ≤ -1 - 6(x + 3) + 6x A) (-∞, 2) B) [2, ∞) D) , , 336) _ C) (2, ∞) D) (-∞, 2] 337) 337) _ - x > -4 A) (-∞, 8] B) (-∞, 8) C) [8, ∞) D) (8, ∞) 338) 18 < x + ≤ 38 338) _ A) [3, 7) B) [3, 7] C) (3, 7) D) (3, 7] 339) 339) _ -11 ≤ x-3≤5 A) [10, ∞) B) [-10, 10] C) (-10, 10) D) (-∞, -10] ∪ [10, ∞) Solve the problem 340) Which one of the following inequalities is equivalent to x ≥ -2? A) -5 x ≤ - 10 B) -5 x ≥ 10 C) -5 x ≤ 10 340) _ D) -5 x ≥ - 10 341) 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 86, 91, 91, and 89 What does he need to score on the last round to meet his goal? A) 93 or less B) 89 or more C) 83 or less D) 89 or less Find the indicated intersection or union 342) Let A = {2, 5, 14, 17, 23} and B = {5, 17, 23, 27} Write the set A ∩ B A) {2, 5, 17, 23} B) {2, 5, 14, 17, 23, 27} C) {5, 17, 23, 27} D) {5, 17, 23} 342) _ 343) Let A = {3, 7, 10, 18} and B = {7, 18, 22, 28} Write the set A ∪ B A) {3, 7, 10, 18, 22, 28} B) {7, 18, 22} C) {7, 18} D) {3, 7, 18, 22} Solve the compound or absolute value inequality 344) -10 ≤ 3x - and 6x - 10 < A) (-1, 3] B) (-1, 3) 345) -2x ≤ -6 or 12x - < 4x A) ∅ 341) _ 343) _ 344) _ C) [-1, 3] D) [-1, 3) C) (1, 3) D) [1, 3] 345) _ B) (-∞, 1) ∪ [3, ∞) 346) |5x + 9| < A) 346) _ B) D) ∅ C) ∪ 347) ∣3 - 9x∣ ≥ A) 347) _ B) [ , ∞) ∪ C) D) ∪ [2, ∞) 348) ≤ -12 A) [6, 17] 349) |- 5x + 2| - < A) ∅ C) 348) _ B) ∅ C) [8, 17] D) (-∞, ∞) 349) _ B) D) ∪ Solve the absolute value equation 350) |2k - 8| + = A) ∅ 351) |3s - 6| = |2 - s| A) 350) _ B) C) (-∞, ∞) D) B) C) D) 351) _ Answer the question 352) If k < 0, what is the solution set of A) (-∞, ∞) 352) _ k 354) If k < 0, what is the solution set of A) B) ∅ =k D) ∅ 353) _ C) {0} D) (-∞, ∞) 354) _ C) {0} D) (-∞, ∞) 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 B A A B A A B C D B B C C A C D A B A D B A D C B B B D D C C A B B D A A B B 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) 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 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 A B Answers will vary, but the product of the three dimensions must be 36 A A C B A B C D D B A A D C 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) D D A C B B B D B A C A D B C C A A A C B B A A C B B A B D D A B A A B A D B D C C C B C C A C D B B D 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) A D A C C B A D C D A 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) D 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) B 176) C 177) A 178) C 179) A 180) A 181) A 182) A 183) D 184) A 185) A 186) B 187) C 188) D 189) D 190) A 191) B 192) C 193) A 194) C 195) A 196) D 197) D 198) A 199) D 200) C 201) C 202) 203) 204) 205) 206) 207) 208) 209) 210) 211) A A A B A 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 C B A A A C B D B A B C A A D A A A C D C D D B 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) D D C C D B A A D D C B C D B A A B B A B A A B A A B 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 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 C C B B A D D D C C A A B B D B C B D B C B C D D A C B B C B D D B C A D B B D B C A D A D B B A B 349) 350) 351) 352) 353) 354) D B B D D B ... in 1986 if a total of 3460 students were enrolled in the school? A) 51 students B) 934 students C) 2576 students D) 2526 students 78) The graph shows the percent of students at a local high school... 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... 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 2840 students were
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