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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) b + 11 = 4 1) _______ A) 7 B) 15 C) -7 D) -15 2) -15 = b + 6 A) 21 2) _______ B) -21 C) -9 D) 9 3) t - 7 = 11 A) -4 B) 18 C) 4 D) -18 3) _______ 4) 4) _______ + x = 11 A) 43 B) C) D) 5) 5) _______ x+ A) = B) C) 1 D) 6) 6) _______ x= A) B) C) 1 D) 7) 7) _______ x+ =A) - B) C) D) - - - 8) x + 7.2 = 23.2 A) 16 B) 15.5 C) 30.4 D) 29.9 9) y - 23.9 = 1.6 A) 25 B) 25.5 C) 21.8 D) 22.3 B) 18.7 C) 10.8 D) 11.3 10) x - 3.7 = 15 A) 18.2 8) _______ 9) _______ 10) ______ Solve the equation. Don't forget to first simplify each side of the equation, if possible. 11) 7x - 6x - 2 = - 2 A) 2 B) - 4 C) - 2 D) 0 12) 10y = 5y + 7 + 4y A) 7 13) - 5a + 3 + 6a = 13 - 30 A) 20 11) ______ 12) ______ B) -7 C) -70 D) 70 13) ______ B) 46 C) -20 D) -46 14) - 9b + 7 + 7b = -3b + 12 A) 5 B) -12 C) 12 D) -7 14) ______ 15) - 7x - 14 + 8x = 6 A) 20 B) -20 C) 8 D) -8 16) -30 + 12 = 7x + 5 - 6x A) -47 B) -23 C) 23 D) 47 17) -7x - 8 - 2x - 6 = 1 A) B) C) - 3 D) 15) ______ 16) ______ 17) ______ - 18) 3(y - 2) = 4y - 6 A) 6 18) ______ B) -6 C) -12 D) 0 19) 3x - 3 = 4(x - 1) A) -7 19) ______ B) -1 C) 1 D) 7 20) 3(5x + 4) + 16 = 12x + 4 A) -24 B) 8 C) -72 D) -8 21) 6x = 7(5x + 2) A) B) C) D) C) - 3 D) 3 20) ______ 21) ______ - 22) 2(5x - 7) = 8x - 8 A) 22) ______ B) 11 23) 88(x - 2) = -16(x + 11) A) 0 C) all real numbers 23) ______ B) 72 D) ∅ 24) 2(x + 2) = 3(x - 2) A) -2 C) all real numbers 25) (x - 9) - (x + 5) = 2x A) - 2 24) ______ B) 10 D) ∅ 25) ______ B) - 7 C) D) - 26) 4(k + 8) - (3k - 7) = -3 A) 36 26) ______ B) - 42 C) 42 D) 18 27) 27) ______ x+ A) =- xB) - C) - D) - 28) -8.3 + 4x - 6.2 + 5x - 2.9 = 5.3 + 10x + 1.9 A) -24.6 B) -10.2 28) ______ C) 10.2 D) 24.6 Write the algebraic expression described. 29) Two numbers have a sum of 27. If one number is q, express the other number in terms of q. A) 27 - 2q B) q - 27 C) q + 27 D) 27 - q 29) ______ 30) A 28-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z. A) (z + 28) cm B) (z - 28) cm C) (28 - z) cm D) (28 - 2z) cm 30) ______ 31) In the race for Student Body President, Jose received 421 more votes than Angela. If Angela received x votes, how many votes did Jose receive? A) (x - 421) votes B) (421x) votes C) (421 - x) votes D) (x + 421) votes 31) ______ 32) During a walk-a-thon, Rosilyn walked 6 fewer laps than June walked. If June walked b laps, how many laps did Rosilyn walk? A) (6 - b) laps B) (b - 6) laps C) D) (b + 6) laps 32) ______ laps 33) The sum of the angles of a triangle is 180°. If one angle of a triangle measures x° and a second angle measures A) (157 - 4x)° , express the measure of the third angle in terms of x. B) (157 - 3x)° C) (203 - 4x)° D) (157 + 4x)° 34) A quadrilateral is a four-sided figure whose angle sum is 360°. If one angle measures x°, a second angle measures 4x°, and a third angle measures 9x°, express the measure of the fourth angle in terms of x. A) (360 - 13x)° B) (360 + 14x)° C) (14x - 360)° D) (360 - 14x)° Solve the equation. 35) - x=8 A) 3 33) ______ 34) ______ 35) ______ B) 4 C) -32 D) -2 36) 36) ______ - a=0 A) 2 B) -2 C) 0 D) 1 37) 37) ______ = 13 A) 26 38) -9a = 36 A) -45 39) -51 = -8.5c A) 2 40) -9x = -54 A) 45 B) 15 C) 14 D) 6 38) ______ B) 45 C) -4 D) 1 39) ______ B) 42.5 C) 6 D) -42.5 40) ______ B) 2 C) -45 D) 6 41) 41) ______ - t= A) B) - C) D) - - 42) 42) ______ = 13 A) 16 B) 39 C) 4 D) 15 43) 43) ______ k= A) 1 44) -z = -10 A) -10 B) 8 C) 9 D) 2 B) 10 C) -1 D) 0 44) ______ 45) 45) ______ + 4 = 10 A) 44 46) -7x + 2x + 4 = -2x A) B) 42 C) 18 D) 9 46) ______ B) - C) - D) - 47) 5r + 7 = 52 A) 9 B) 3 C) 44 D) 40 47) ______ 48) 6n - 6 = 24 A) 5 B) 24 C) 10 D) 28 49) -37 = -4x + 3 A) 6 B) 10 C) -32 D) -36 48) ______ 49) ______ 50) 50) ______ a= -6 A) -29 B) 29 C) 31 D) -31 51) 51) ______ f-3=1 A) 12 52) -2x - 6x = 7 - 15 A) 1 B) 24 C) -24 D) -12 52) ______ B) 8 C) -1 53) 6x - x = 38 - 3 A) 5 B) 7 C) -5 54) -7x - 10 + 6x - 3 = 2 A) 5 B) - D) -8 53) ______ D) -7 54) ______ C) 55) 0.2x - 0.5x - 3 = 12 A) 50 15 D) 15 55) ______ B) 48 C) -48 D) -50 Write the algebraic expression described. 56) If x represents the first of three consecutive even integers, express the sum of the three integers in terms of x. A) 3x + 12 B) 3x + 3 C) x + 6 D) 3x + 6 56) ______ 57) If x represents the first of four consecutive odd integers, express the sum of the first integer and the fourth integer in terms of x. A) 2x + 8 B) 2x + 6 C) 2x + 3 D) 4x + 12 57) ______ 58) If x is the first of three consecutive integers, express the sum of 21 and the third integer as an algebraic expression in terms of x. A) x + 23 B) x + 22 C) 2x + 23 D) x + 21 58) ______ Solve the equation. 59) 9x - (5x - 1) = 2 A) 59) ______ B) C) D) 60) 3(4x - 1) = 12 A) 61) (y - 6) - (y + 5) = 2y A) 60) ______ B) C) D) 61) ______ B) 62) 4p = 7(9p + 5) A) - C) - D) 62) ______ B) C) D) - 63) 14(7c - 8) = 8c - 8 A) 63) ______ B) C) D) - 64) 2(y + 4) = 3(y - 7) A) 29 64) ______ B) 13 C) -29 D) -13 65) 3(2z - 3) = 5(z + 2) A) 1 B) 4 C) 19 D) -1 66) 4p = 5(6p + 5) A) B) C) D) 65) ______ 66) ______ - 67) 5(2z - 2) = 9(z + 3) 67) ______ A) -17 68) 4x + 4(-2x - 2) = -5 - 7x A) B) 37 C) 22 D) 17 B) 1 C) D) - 1 68) ______ - 69) 69) ______ -5=1 A) -24 B) -36 C) 24 D) 36 70) 70) ______ =4 A) 120 B) 60 C) -60 D) -120 71) 71) ______ x+ = A) -16 x B) 28 C) 16 D) -28 72) 72) ______ = -3 A) 8 B) -10 C) -8 D) 10 73) 73) ______ - 7 = -4 A) 57 B) -59 C) 59 D) -57 74) 74) ______ =x A) -4 B) C) 7 D) 4 75) 75) ______ = 1 - 3y A) B) C) D) Write the algebraic expression described. Simplify if possible. 76) Two numbers have a sum of 23. If one number is q, express the other number in terms of q. A) q - 23 B) 23 - 2q C) 23 - q D) q + 23 76) ______ 77) A 53-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the other length as an algebraic expression in z. A) (z - 53) cm B) (53 - 2z) cm C) (53 - z) cm D) (z + 53) cm 77) ______ 78) In the race for Student Body President, Jose received 213 more votes than Angela. If Angela received x votes, how many votes did Jose receive? A) (x + 213) B) (213 - x) votes C) (x - 213) votes D) (213x) votes votes 78) ______ Solve the equation. 79) -5.4m + 6 + 2.3m = -7.2 - 3.1m + 13.2 A) 1.9 C) all real numbers 79) ______ B) 0 D) no solution 80) 8x - 9 + 7x + 5 = 9x + 6x - 7 A) 224 C) all real numbers B) 0 D) no solution 80) ______ 81) 7(x + 7) = (7x + 49) A) 0 C) all real numbers B) 98 D) no solution 82) 5(x + 2) - (5x + 10) = 0 A) 0 C) all real numbers B) 2 D) no solution 81) ______ 82) ______ 83) 83) ______ (10x - 15) = 6( x - ) + 4 A) 1 C) all real numbers B) 0 D) no solution 84) 84) ______ -6= A) 24 C) all real numbers B) 0 D) no solution 85) -2(x - 4) - 55 = 5x - 7(x + 1) A) -62 C) all real numbers 85) ______ B) -48 D) no solution 86) 0.04(9x - 1) = 0.36(x + 7) - 2.56 A) -2.56 C) all real numbers B) -0.04 D) no solution 86) ______ Write the following as an equation, using x for the unknown number. Then solve. 87) Four times a number added to 8 times the number equals 60. Find the number. A) 4(x + 8) = 60x; 0.6 B) 4x(8 + x) = 60; 7.5 C) 4x + 8x = 60; 5 D) 4x - 8x = 60; -7.5 87) ______ 88) When 3 times a number is subtracted from 7 times the number, the result is 40. Find the number. A) 7x - 3x = 40; 10 B) 3x(7 - x) = 40; -10 C) 3(x - 7) = 40x; 1.8 D) 3x + 10x = 40; 4 88) ______ 89) If 6 times a number is added to -6, the result is equal to 12 times the number. Find the number. A) 6x + (-6) = 12x; -1 B) 4x + (-6) = 12x; 1 C) 18x - 12x = 6; 1 D) 12(6x - 6) = -6; -1 89) ______ 90) 90) ______ Three-fourths of a number is A) . Find the number in lowest terms. B) +x= C) D) ; x = x = ; x = ; ; 91) The sum of four times a number and 1 is equal to the difference of twice the number and 3. Find the number. A) B) 4x + 1 = 2x - 3; - 2 4(x + 1) = 2x - 3; C) 4x + 1 = 2x - 3; 2 91) ______ D) 4x + 1 = 2x + 3; 1 Solve. 92) The sum of four times a number and three is the same as the difference of twice the number and eleven. Find the number. A) 7 B) -7 C) -17 D) 4 92) ______ 93) 93) ______ The difference of triple a number and number. A) B) is equal to the sum of the number and C) . Find the D) 94) If the sum of a number and two is doubled, the result is six less than three times the number. Find the number. A) 5 B) 10 C) D) 22 94) ______ 95) Four times the difference of a number and one is equal to six times the sum of the number and three. Find the number. A) -7 B) 11 C) -2 D) -11 95) ______ 96) Nine times a number, added to -4, is -49. Find the number. A) 5 B) -45 C) -405 96) ______ D) -5 97) Eight times a number, added to 36, is 4. Find the number. A) -4 B) -256 C) -32 D) 4 97) ______ 98) Three times the sum of some number plus 3 is equal to 7 times the number minus 23. A) 32 B) 8 C) -8 D) -32 98) ______ 99) The difference of a number and 8 is the same as 36 less the number. Find the number. A) 22 B) 14 C) - 22 D) - 14 99) ______ 100) Six times some number added to 3 amounts to 1 added to the product of 4 and the number. A) -1 B) -2 C) 2 D) 1 100) _____ 101) Twice the sum of a number and -46 gives -6. Find the number. A) 20 B) 43 C) -49 102) A number subtracted from 13 is the quotient of -42 and 6. Find the number. A) 20 B) 19 C) 265 101) _____ D) -26 102) _____ D) 6 Solve the problem. 103) The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $180,000, find each worker's salary. A) president's salary = $90,000; department head's salary = $45,000 B) president's salary = $45,000; department head's salary = $135,000 C) president's salary = $13,500; department head's salary = $4500 D) president's salary = $135,000; department head's salary = $45,000 103) _____ 104) 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 $66 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary. A) 10 min B) 1020 min C) 3 min D) 1620 min 104) _____ 105) Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the measure of the second angle is (3x - 2)°, find the measure of each angle. A) 1st angle = 31°; 2nd angle = 59° B) 1st angle = 22°; 2nd angle = 64° C) 1st angle = 22°; 2nd angle = 68° D) 1st angle = 23°; 2nd angle = 67° 105) _____ 106) A car rental agency advertised renting a luxury, full-size car for $39.95 per day and $0.39 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend. A) 405 mi B) 100 mi C) 307 mi D) 12 mi 106) _____ 107) A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces. A) shorter piece: 6 ft; longer piece: 32 ft B) shorter piece: 28 ft; longer piece: 30 ft C) shorter piece: 2 ft; longer piece: 8 ft D) shorter piece: 5 ft; longer piece: 30 ft 107) _____ 108) In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 57 and the U.S. won more than China who won more than Romania, how many medals did each team win? A) U.S.: 21 medals; China: 20 medals; Romania: 19 medals B) U.S.: 59 medals; China: 58 medals; Romania: 57 medals C) U.S.: 20 medals; China: 19 medals; Romania: 18 medals D) U.S.: 18 medals; China: 17 medals; Romania: 16 medals 108) _____ 109) Mary and her brother John collect foreign coins. Mary has th re e ti mes the number of coins that John has. Together they have 140 foreign coins. Find how many coins Mary has. A) 35 coins B) 105 coins C) 98 coins D) 21 coins 109) _____ 110) Center City East Parking Garage has a capacity of 257 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1227 cars, find the capacity for each garage. A) Center City East: 485 cars B) Center City East: 475 cars Center City West: 742 cars Center City West: 752 cars 110) _____ C) Center City East: Center City West: 742 cars 485 cars D) Center City East: Center City West: 752 cars 475 cars 111) During an intramural basketball game, Team A scored 19 fewer points than Team B. Together, both teams scored a total of 14 7 points. How many points did Team A score during the game? A) 73 points B) 8 3 points C) 64 points D) 6 5 points Solve. 112) In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 96 and the U.S. won more than China who won more than Romania, how many medals did each team win? A) U.S.: 33 medals; China: 32 medals; Romania: 31 medals B) U.S.: 31 medals; China: 30 medals; Romania: 29 medals C) U.S.: 98 medals; China: 97 medals; Romania: 96 medals D) U.S.: 34 medals; China: 33 medals; Romania: 32 medals 113) The sum of three consecutive integers is 564. Find the numbers. A) 186, 187, 188 B) 186, 188, 190 C) 187, 188, 189 111) _____ 112) _____ 113) _____ D) 188, 189, 190 114) The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 338, find the house numbers. A) 167, 169 B) 168, 336 C) 169, 171 D) 168, 170 114) _____ 115) The code to unlock a safety deposit box is three consecutive odd integers whose sum is 81. Find the integers. A) 27, 29, 31 B) 25, 27, 29 C) 27, 28, 29 D) 26, 28, 30 115) _____ 116) You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of the garden is 8 meters and 54 meters of fencing is required to completely enclose it. What is the width of the garden? A) 6.75 m B) 19 m C) 432 m D) 38 m 116) _____ 117) Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way) was 250 miles and it took him 4 hours. How fast was Ted driving? (Round answer to the nearest whole number) A) 10 mph B) 16 mph C) 100 mph D) 63 mph 117) _____ 118) Sally is making a cover for a round table. When finished, the cover will fit exactly with no excess hanging off. Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow for hemming. If the table has a diameter of 42 inches, how much fabric does Sally need? (Use 3.14 for π. Round to 2 decimal places.) A) 1661.06 B) 6079.04 C) 1962.5 D) 6644.24 118) _____ 119) 119) _____ Use the formula F = A) 13° F C + 32 to write 25° C as degrees Fahrenheit. B) -3.8° F C) 31.8° F D) 77° F 120) 120) _____ Use the formula C = A) 95° C (F - 32) to write 203° F as degrees Celsius. B) 130.6° C C) 80.8° C D) 397.4° C 121) It took Sara's mother 4 hours round trip to drive to the University and bring Sara back home for spring break. If the University is 96 miles from home, find her mother's average speed. A) 49 mph B) 24 mph C) 48 mph D) 55 121) _____ mph 122) 122) _____ You are varnishing the background for a rectangular mural. The base of the mural is 6 meters and the height of the mural is 5 meters. How many cans of varnish will you need if each can covers 10 square meters? A) 7 cans of varnish B) 13 cans of varnish C) 4 cans of varnish D) 33 cans of varnish Substitute the given values into the formula and solve for the unknown variable. 123) d = rt; t = 6, d = 12 A) 0.5 B) 2 C) 6 124) P = 2L + 2W; P = 18, W = 6 A) 3 B) 9 123) _____ D) 18 124) _____ C) 12 D) 6 125) 125) _____ V = Bh; V = 42, h = 6 A) 252 B) 48 126) I = prt; I = 54, p = 300, r = 0.02 A) 324 B) 0.9 C) 7 D) 21 126) _____ C) 9 D) 3.24 127) 127) _____ A = (b + B)h; A = 85, b = 16, B = 18 A) 288 B) 17 C) 68 D) 5 C) t = dr D) Solve the equation for the indicated variable. 128) d = rt for t A) B) t = d - r 128) _____ t= t= 129) I = Prt for P A) P = r - It 129) _____ B) C) P= D) P= P= 130) 130) _____ A = bh A) for h B) h= C) h= D) h= h= 131) 131) _____ V = Ah A) h= for h B) C) h= D) h= h= 132) P = a + b + c for c A) c = P + a - b 133) P = 2L + 2W A) 132) _____ B) c = P - a - b C) c = a + b - P D) c = P + a + b 133) _____ for L B) L = P - W C) L= D) L = P - 2W L= 134) A = P + PRT A) 134) _____ for R B) R= C) R= D) R= R= 135) 135) _____ F = C + 32 A) C= for C B) (F - 32) 136) S = 2πrh + 2πr2 A) C) C= D) C= (F - 32) C= 136) _____ for h B) C) h = 2π(S - r) h= h= D) h = S - r -1 137) 137) _____ A = h(B + b) A) for b b= B) C) b = 2A - Bh b= Solve. Round to the nearest hundredth, if necessary. 138) 5% of 400 is what number? A) 20 B) 200 139) What number is 87% of 204? A) 177.48 B) 1774.8 D) b= 138) _____ C) 2 D) 0.2 139) _____ C) 17,748 D) 17.75 140) 938 is what percent of 778? A) 0.12% B) 1.21% C) 82.94% D) 120.57% 141) 4.3 is what percent of 22.5? A) 19.11% B) 523.26% C) 5.23% D) 0.19% 142) What percent of 198 is 16.5? A) 8.33% B) 0.08% C) 1200.00% D) 0.12% 143) 69 is 30% of what number? A) 20.7 B) 230 C) 2300 D) 23 144) 15 is 7% of what number? A) 105 B) 2142.9 C) 214.29 D) 21.43 145) 30% of what number is 85? 140) _____ 141) _____ 142) _____ 143) _____ 144) _____ 145) _____ A) 28.33 B) 2833.3 C) 25.5 D) 283.33 The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. 146) What percent of college students consume 1-2 pizzas in a typical month? A) 18% B) 2% C) 34% 146) _____ D) 41% 147) If State University has approximately 42,000 students, about how many would you expect to consume 5-6 pizzas in a typical month? A) 7560 students B) 1428 students C) 14,280 students D) 756 students Solve. Round answers to the nearest cent. 148) A store is advertising a off sale on all new DVD releases. Find the discount of a newly released DVD collectors set that regularly sells for $69.00. A) $67.97 B) $10.35 C) $1.04 147) _____ 148) _____ D) $58.65 149) An automobile dealership recently reduced the price of a used sports car by 28%. If the price of the car was $25,700.00, find the discount. A) $719.60 B) $24,980.40 C) $7196.00 D) $18,504.00 149) _____ 150) A store is advertising 150) _____ that regularly sells for A) $42.50 151) A store is advertising that regularly sells for A) $3120.00 off sale on everything in the store. Find the discount of a painting B) $165.75 C) $4.25 D) $127.50 off sale on everything in the store. Find the discount of a painting B) $80.00 C) $800.00 151) _____ D) $2400.00 152) A store is advertising a off sale on all new DVD releases. Find the sale price of a newly released DVD collectors set that regularly sells for $68.00. A) $62.56 B) $5.44 C) $67.46 D) $0.54 152) _____ 153) An automobile dealership recently reduced the price of a used sports car by 40%. If the price of the car was $36,300.00, find the sale price. A) $14,520.00 B) $34,848.00 C) $1452.00 D) $21,780.00 153) _____ 154) A store is advertising regularly off sale on everything in the store. Find the sale price of a camera that sells for 154) A) $3332.00 155) A store is advertising regularly sells for A) $960.00 ____ _ B) $68.00 C) $6.80 D) $272.00 off sale on everything in the store. Find the sale price of a sofa that B) $64.00 C) $640.00 155) _____ D) $1536.00 156) Jeans are on sale at the local department store for 15% off. If the jeans originally cost $49, find the sale price. (Round to the nearest cent.) A) $7.35 B) $56.35 C) $48.27 D) $41.65 Solve. Round to the nearest tenth, if necessary. 157) Due to a lack of funding, the number of students enrolled at City College went from 7000 last year to 3000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary.) A) 233.3% B) 133.3% C) 57.1% D) 42.9% 156) _____ 157) _____ 158) A company increased the number of its employees from 480 to 495. What was the percent increase in employees? A) 3% B) 50.8% C) 3.1% D) 97% 158) _____ 159) The number of video stores in a region recently decreased from 54 to 33. Find the percent decrease. A) 38.9% B) 63.6% C) 157.1% D) 61.1% 159) _____ 160) In the past ten years, the population of a city decreased from 95,000 to decrease. A) 5.3% B) 5.6% C) 1800% 160) _____ Find the percent D) 94.7% Solve. 161) Sales at a local ice cream shop went up 40% in 5 years. If 12,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer, if necessary.) A) 8571 ice cream cones B) 30,000 ice cream cones C) 7200 ice cream cones D) 4800 ice cream cones 161) _____ 162) Attendance this year at the homecoming football game is 153% of what it was last year. If last year's homecoming football game attendance was 32,000, what is this year's attendance? (Round to the nearest integer, if necessary.) A) 209 people B) 48,960 people C) 4781 people D) 489,600 people 162) _____ 163) How much pure acid should be mixed with 8 gallons of a 50% acid solution in order to get an 80% acid solution? A) 12 gal B) 20 gal C) 4 gal D) 32 gal 163) _____ 164) A chemist needs 6 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution? A) 2.4 liters of the 20% solution; 3.6 liters of the 70% solution B) 3 liters of the 20% solution; 3 liters of the 70% solution C) 1.8 liters of the 20% solution; 4.2 liters of the 70% solution 164) _____ D) 1.2 liters of the 20% solution; 4.8 liters of the 70% solution 165) The owners of a candy store want to sell, for $6 per pound, a mixture of raisins, which usually sells for $3 per pound, and 165) _____ macadamia nuts, which usually sells for $8 per pound. They have a barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture? A) 80 lbs. B) 70 lbs. C) 75 lbs. D) 65 lbs. 166) The manager of a coffee shop has one type of coffee that sells for $9 per pound and another type that sells for $15 per pound. The manager wishes to mix 70 pounds of the $15 coffee to get a mixture that will sell for $10 per pound. How many pounds of the $9 coffee should be used? A) 210 pounds B) 175 pounds C) 350 pounds D) 420 pounds 166) _____ 167) The manager of a candy shop sells chocolate covered peanuts for $10 per pound and chocolate covered cashews for $15 per pound. The manager wishes to mix 80 pounds of the cashews to get 167) _____ a mixture that will sell for $14 per pound. How many pounds of peanuts should be used? A) 100 pounds B) 20 pounds C) 50 pounds D) 10 pounds Graph on a number line. 168) x > -6 168) _____ A) B) C) D) 169) x < 3 169) _____ A) B) C) D) 170) 5 ≤ x A) 170) _____ B) C) D) 171) x ≤ 0 171) _____ A) B) C) D) 172) 3 ≤ x ≤ 7 172) _____ A) B) C) D) 173) -1 < x < 3 173) _____ A) B) C) D) 174) 2 ≤ x < 6 174) _____ A) B) C) D) Solve the inequality. 175) x + 5 < 1 175) _____ A) {x } B) {x } C) {x } D) {x } 176) 4x + 3 > 3x - 5 176) _____ A) {x } B) {x } C) {x } D) {x } 177) -3x - 6 ≤ -4x + 3 A) {x } 177) _____ B) {x } C) {x } D) {x } 178) -11x + 7 ≥ -12x + 4 A) {x } B) {x } C) {x } D) {x } 179) x - 12 < -6 179) _____ A) {x } B) {x } C) {x } D) {x } 180) -10 - 3x + 4 ≥ -4x - 9 A) {x 178) _____ } 180) _____ B) {x } C) {x } D) {x } 181) 181) _____ ≥7 A) {y } B) {y } C) {y } D) {y } 182) 182) _____ -2< 183) A) {x } B) {x } C) {x } D) {x } -5≥ 183) ____ _ A) {y } B) {y } C) {y } D) {y } 184) 184) _____ 0< A) {x } B) {x } C) {x } D) {x } 185) 185) _____ >4 A) {x } B) {x } C) {x } D) {x } 186) 4x > 68 186) _____ A) {x } B) {x } C) {x } D) {x } 187) 5x ≤ 95 187) _____ A) {x } B) {x } C) {x } D) {x } 188) 8x + 18 > 2(3x + 2) A) {x } B) {x } 188) _____ C) {x } D) {x } 189) -5(2y - 3) < -15y + 45 A) {y } B) {y } C) {y } D) {y } 190) -24x + 6 ≤ -6(3x + 1) A) {x } B) {x } C) {x } D) {x } 191) 14x - 18 ≤ 2(6x - 13) A) {x } 189) _____ 190) _____ 191) _____ B) {x } C) {x } D) {x } 192) 2x + 6 + 4x < 2 + 4x + 6 A) {x } B) {x } C) {x } D) {x } 192) _____ Solve. 193) The area of a rectangle must be at least 144 square feet. If the length is 8 feet, find the minimum for the rectangle's width. A) B) 19 ft C) 18 ft D) 64 ft 193) _____ ft 194) Seven less than three times a number is less than ten. Find all such numbers. A) x > - 1 B) C) x < 1 D) x< 194) _____ x< 195) Claire has received scores of 85, 88, 87, and 85 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 88? (Hint: The average of a list of numbers is their sum divided by the number of numbers in the list.) A) 93 B) 95 C) 96 D) 94 195) _____ 196) A student scored 71, 89, and 97 on three algebra tests. What must he score on the fourth test in order to have an average grade of at least 85? A) 83 B) 86 C) 30 D) 64 196) _____ 197) A certain vehicle has a weight limit for all passengers and cargo of 1199 pounds. The four passengers in the vehicle weigh an average of 155 pounds. Use an inequality to find the maximum weight of the cargo that the vehicle can handle. A) at most 579 pounds B) 197) _____ pounds at most C) D) at most 1044 pounds at most pounds 198) A certain store has a fax machine available for use by its customers. The store charges $1.80 to send the first page and $0.55 for each subsequent page. Use an inequality to find the maximum number of pages that can be faxed for $5.65 A) at most 10 pages B) at most 43 pages C) at most 3 pages D) at most 8 pages 198) _____ 199) An archer has $205 to spend on a new archery set. A certain set containing a bow and three arrows costs $52. With the purchase of this set, he can purchase additional arrows for $9 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $205. A) B) at most 17 arrows 199) _____ at most arrows C) D) at most 20 arrows at most arrows 200) When making a long distance call from a certain pay phone, the first three minutes of a call cost $1.90. After that, each additional minute or portion of a minute of that call costs $0.20. Use an inequality to find the maximum number of minutes one can call long distance for $3.70. A) at most 19 minutes B) at most 9 minutes C) at most 12 minutes D) at most 2 minutes 200) _____ 201) It takes 10 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 4 hours if the machine has not yet been set up. A) at most 1200 candies B) at most 2100 candies C) at most 6900 candies D) at most 120 candies 201) _____ 202) A standard train ticket in a certain city costs 202) _____ per ride. People who use the train also have the option of purchasing a frequent rider pass for each month. With the pass, a ticket costs only per ride. Use an inequality to determine the number of train rides in a month for which purchasing the monthly pass is more economical than purchasing the standard train ticket. A) 23 or more times B) 24 or more times C) 25 or more times D) 26 or more times Fill in the blank with one of the words or phrases listed below. 203) A(n) can be written in the form ax + b = c. A) reversed B) linear inequality in one variable C) linear equation in one variable D) formula 203) _____ 204) Equa tions that have 204) the same solution are called ____ _ . A) the same C) all real numbers B) equivalent equations D) reversed 205) An equation that describes a known relationship among quantities is called a(n) . A) linear inequality in one variable C) formula 206) A(n) A) formula C) reversed B) linear equation in one variable D) no solution can be written in the form ax + b < c, (or >, ≤, ≥). B) linear equation in one variable D) linear inequality in one variable 207) The solution(s) to the equation x + 5 = x + 5 is/are A) all real numbers C) reversed B) the same D) no solution 208) The solution(s) to the equation x + 5 = x + 4 is/are A) reversed C) the same . B) all real numbers D) no solution direction of the inequality symbol is A) the same C) all real numbers 208) _____ 210) _____ . B) no solution D) the same Solve the equation. 211) 211) _____ B) -15 C) 2 D) 1 212) 4(2z - 4) = 7(z + 5) A) 23 B) 51 C) 19 D) -19 213) - 6b + 7 + 4b = -3b + 12 A) -7 B) -12 C) 12 D) 5 214) 2x + 1 - 9x + 9 = 6x - 13x + 7 A) all real numbers 209) _____ . B) reversed D) no solution 210) If both sides of an inequality are multiplied by the same negative number, the direction of the x = -3 A) -1 206) _____ 207) _____ . 209) If both sides of an inequality are multiplied or divided by the same positive number, the inequality symbol is A) all real numbers C) reversed 205) _____ 212) _____ 213) _____ 214) _____ B) -288 C) no solution D) 0 215) 215) _____ =x-5 A) -19 B) 17 C) 9 D) 19 216) 216) _____ = 3y + 2 A) B) C) D) - - 217) 217) _____ -x+ A) -8 = x - 10 B) -2 C) 8 D) 16 218) 218) _____ (y - 2) = 4y A) - B) C) D) - 219) -0.3(x - 9) + x = 0.5(6 - x) A) 0.25 B) 0.17 C) 1.5 D) 4.75 219) _____ 220) 6x + 4(-3x - 5) = -17 - 9x A) B) - 1 C) 1 D) 220) _____ - 221) -3(x + 4) + 68 = 2x - 5(x - 8) A) 108 C) no solution 221) _____ B) 28 D) all real numbers Solve the application. 222) The difference of a number and 3 is the same as 49 less the number. Find the number. A) - 26 B) - 23 C) 23 D) 26 223) A canvas for a mural is in the shape of a right triangle. Before the mural can be painted, the canvas must be varnished. The base of the mural is 5 meters and the height of the mural is 222) _____ 223) _____ How many cans of varnish will you need if each can covers 10 square meters? The formula for the area of a right triangle is A) 38 cans of varnish C) 8 cans of varnish B) 4 cans of varnish D) 15 cans of varnish Substitute the given values into the formula and solve for the unknown variable. 224) P = 2L + 2W; P = 20, W = 7 A) 13 B) 6.5 C) 3 Solve the equation for the indicated variable. 225) I = Prt for r A) r 224) _____ D) 10 225) _____ = B) 226) 8x - 6y = 11 for y A) y= r = C) r = PIt D) r = 226) _____ B) C) y= D) y= y= Solve the inequality. Graph the solution set. 227) 7x - 4 ≥ 6x + 8 A) {x } B) {x } C) {x } D) {x 227) _____ } 228) -3x - 5 > -4x - 4 A) {x 228) _____ } B) {x } C) {x } D) {x } Solve the inequality. 229) -0.4x ≥ 1.6 A) {x|x ≤ -4} 230) -5(x + 2) + 4 ≤ -3(x - 1) + 3 A) {x|x ≤ -6} 229) _____ B) {x|x ≥ -0.4} C) {x|x ≥ -4} D) {x|x ≤ -0.4} B) {x|x ≥ -12} C) {x|x ≥ 6} D) {x|x ≥ -6} 230) _____ 231) 231) _____ >4 A) B) {x|x > 8} C) D) Solve the problem. 232) The circle graph below shows the number of pizzas consumed by college students in a typical month. 232) _____ If State University has approximately 25,000 students, about how many would you expect to consume pizzas in a typical month? A) 8500 students B) 850 students 233) The number 38 is what percent of 50? A) 0.76% B) 7600% C) 450 students D) 4500 students C) 76% D) 7.6% 233) _____ 234) The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 334, find the house numbers. A) 167, 169 B) 165, 167 C) 166, 168 D) 166, 332 234) _____ 235) There are 20 more sophomores than juniors in an 8 AM algebra class. If there are 50 students in this class, find the number of sophomores and the number of juniors in the class. A) 50 sophomores; 30 juniors B) 35 sophomores; 15 juniors C) 70 sophomores; 30 juniors D) 15 sophomores; 35 juniors 235) _____ 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) C B B D D C C A B B D A C A A B B D C D B D A B 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 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 C D D B A A D C D D A C B B B D B A C A D B C C A C D C C D D D C C A A C B B A B D D A B A A B A D 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 C C C B C C A C D B B D A D A C C B A D C D A D D B B C A C A A A A D A A B C D D A B C A C A D D A 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) 168) 169) 170) 171) 172) 173) 174) 175) 176) 177) 178) 179) 180) 181) 182) 183) 184) 185) 186) 187) 188) 189) 190) 191) 192) 193) 194) 195) 196) 197) 198) 199) 200) 201) 202) 203) 204) 205) 206) 207) D C C A A A B A 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 D D D C C D B A A D D C C C C B C D A 208) 209) 210) 211) 212) 213) 214) 215) 216) 217) 218) 219) 220) 221) 222) 223) 224) 225) 226) 227) 228) 229) 230) 231) 232) 233) 234) 235) 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