MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Math 24 Chapter 24-Study Guide Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. ) x - 4 = 0.667x A) {-8} B) {-4} C) {-.333} D) {4} Solve the equation. First simplify the expression by combining like terms. 2) -8(k + ) - (-9k - 5) = -2 A) {} B) {8} C) {- } D) {- 5} 3) -2(-8x + 8) + 2(5 + 6x) = ( x) A) {-6} B) {-90} C) {-70} D) {58} Translate the sentence into an equation using the variable x. 4) 5 times a number equals 8 less than 6 times the number. A) 5x = 8-6x B) 5x - 8 = 6x C) 5x = 8-6 D) 5x = 6x - 8 5) A number minus 3 equals 5. A) x = 3-5 B) x - 3 = 5 C) x = 5-3 D) 3 - x = 5 ) 2) 3) 4) 5) Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side. 6) -x = -0.36; divided 6) A) - B) - 9 C) - 25 D) Solve the equation. 7) 3 7 y = - 5 7) A) 7 5 B) C) D) ) 8x - 4x + 3x = 28 A) {4} B) {2} C) 4 D) 7 8) 9) 8x + 7x - 9x = 32 A) 6 B) 2 C) {2} D) {6} 9) Write an equation using the information given in the problem. Use x as the variable. 0) When a number is multiplied by 4, the result is -6. A) x 4 = -6 B) 4x = -6 C) -6x = 4 D) x -6 = 4 0)

2 ) When a number is divided by 4, the result is -0. x A) -0 = 4 B) -0x = 4 C) 4x = -0 D) x 4 = -0 Solve the equation. 2) 2(x + 6) - (2x + 2) = 0 A) {M} B) {0} C) {all real numbers} D) {6} 3) (y - 4) - (y + 2) = 5y ) 2) 3) A) B) C) - 3 D) ) (y - 5) - (y + 5) = 3y A) B) - 2 C) D) 2 3 4) 5) 4p - 8 = 3 + 5p A) - B) - C) D) 5) 6) 0.05(800) x = 0.04(800 + x) A) {490} B) {250} C) {500} D) {50} 7) (6000) + 0.8x = 0.05( x) A) {300} B) {500} C) {3000} D) {2900} 6) 7) 8) 4 (8x - 6) = (2x - 6) 3 8) A) {-} B) {} C) {-6} D) 6 9) -(4y - 8) - (-3y - 3) = -3 A) {4} B) {-4} C) {-8} D) {-2} 20) 0.26(x + 20) (x + 50) = -8.4 A) {-70} B) {30} C) {-30} D) {70} Write the answer to the problem as an algebraic expression. 2) Elizabeth earned 7 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks? A) 35 + x B) 7 + x dollars C) 35x dollars D) 7x dollars 22) A water tank holds g gallons. Since there are 4 quarts per gallon, how many quarts does the tank hold? 9) 20) 2) 22) A) 4g quarts B) 4 g quarts C) g 4 quarts D) g + 4 quarts 2

3 23) A theater ticket for adults is A dollars and the price of a child's ticket is C dollars. If 20 adults and 32 children attend the theater one night, how much money did the theater make? A) 32A + 20C dollars B) 640AC dollars C) 20A + 32C dollars D) 20C + CA dollars Solve the problem. 24) If 7 is added to a number and the sum is doubled, the result is -4 less than the number. Find the number. A) -28 B) 28 C) 0 D) -2 25) Pennies are packaged 50 in a roll. A mother gave her son 237 pennies for his bank and had 3 pennies left over. How many rolls of pennies did she use? A) 8 rolls B) 7 rolls C) 6 rolls D) 5 rolls 26) Junior high classes of 30 students each met in the cafeteria to take achievement tests. If exactly 6 students sat at each table and 0 tables were used, how many classes took the tests? A) 2 classes B) 5 classes C) 4 classes D) 5 classes 27) Elaine had 2 buttons. Her grandmother donated 9 cards of buttons to the collection. Elaine sorted the buttons into 8 piles, putting 7 buttons in each pile. How many buttons were on each card from Elaine's grandmother? A) 50 buttons B) 53 buttons C) 6 buttons D) 0 buttons 28) Find the measure of an angle such that the sum of the measures of its complement and its supplement is 6e. A) 64e B) 72e C) 77e D) 32e 23) 24) 25) 26) 27) 28) 29) Find the measure of an angle, if its supplement measures 2e more than twice its complement. A) 2e B) 3e C) 42e D) 69e 29) 30) The sum of the measures of the angles of any triangle is 80e. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 05e larger than each of A and B. What are the measures of the three angles? A) A and C: 0e; B: 35e B) A and B: 30e; C: 25e C) A and B: 25e; C: 30e D) A and B: 35e; C: 0e 3) Two pages that face each other in a book have 353 as the sum of their page numbers. What is the number of the page that comes first? A) 75 B) 76 C) 74 D) 77 32) If three times the smaller of two consecutive integers is added to four times the larger, the result is 95. Find the smaller integer. A) 4 B) 39 C) 2 D) 3 33) If the first and third of three consecutive odd integers are added, the result is 5 less than five times the second integer. Find the third integer. A) 5 B) 7 C) 9 D) 34 30) 3) 32) 33) 3

4 A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. 34) A = pr2; r = 7, p = ) A) 0.4 B) C) 2.98 D) ) I = prt; I = 54, p = 300, r = 0.06 A) 0.3 B) 9.72 C) 972 D) 3 36) A = pr2; r = 9, p = 3.4 A) B) C) 2.4 D) Use a formula to solve the problem. 37) A rectangular Persian carpet has a perimeter of 208 inches. The length of the carpet is 28 inches more than the width. What are the dimensions of the carpet? A) 66 inches by 94 inches B) 76 inches by 04 inches C) 38 inches by 66 inches D) 90 inches by 8 inches 38) A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 0. Find the length of a side. A) 7 B) 2 C) D) 5 39) A baking pan measures 2 inches long, 5 inches wide, and 2 inches deep. What is the volume of the pan. A) 20 cubic inches B) 34 cubic inches C) 9 cubic inches D) 60 cubic inches Find the measure of each marked angle. 40) 35) 36) 37) 38) 39) 40) (x + 2)e (4x - 32)e A) 66e and 4e B) 64e and 6e C) 64e and 26e D) 62e and 8e 4) 4) (2x + 45)e (5x + 9)e A) 78e and 78e B) 69e and e C) 69e and 2e D) 69e and 69e 4

5 42) 42) xe 3xe A) 45e and 55e B) 45e and 35e C) 60e and 20e D) 90e and 270e Solve the formula for the specified variable. 43) A = 2 h(b + b2) for b 43) A) b = h(b 2) - 2A h C) b = 2A - (h)(b 2) h B) b = A - h(b 2) 2h D) b = (b 2)2A - h h 44) a + b = s + r for r A) r = a + b s B) r = s(a + b) C) r = a s + b D) r = a + b - s 44) 45) A = P( + nr) for n A) n = A r B) n = A - P Pr C) n = P - A Pr D) n = Pr A - P 45) Express the phrase as a ratio in lowest terms. 46) 27 inches to 9 inches A) 3 B) 4 5 C) 5 4 D) 3 46) 47) 05 cm to 60 cm A) 6 06 B) 4 7 C) 7 4 D) ) Tell which brand is the better buy. 48) Brand A 9 oz for $3.24 Brand B 2 oz for $4.68 A) Equal value B) Brand A C) Not enough information D) Brand B 49) Brand X 4 oz for $0.24 Brand Y 6 oz for $0.48 A) Brand Y B) Not enough information C) Equal value D) Brand X Solve the equation. 2x ) = 5x ) 49) 50) A) 6 B) C) - 4 D) 7 6 5

6 5) 5 5x - 6 = 7 4x + 5 A) 5 B) 67 C) D) ) TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Decide whether the proportion is true or false. 7 52) 3 = 22 52) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 53) If a spring stretches 0.9 m when a 6-kg weight is attached to it, how much will it stretch when a 8-kg weight is attached to it? A) 4.2 m B) 0.2 m C).2 m D) 3.2 m 54) Dr. Smith can see 0 patients in 2 hours. At this rate, how long would it take him to see 70 patients? A) 3 hours B) 350 hours C) 4 hours D) 20 hours 55) The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5. If a golfer averages 4 yards with a pitching wedge, how far should she average with an 8-iron? A) 32 yd B) 3 yd C) yd D) 50 yd 56) The ratio of the lengths of strings that play the notes D and B is 27 to 6. If a string 80 cm long plays a B, what is the length of the string that plays a D? A) 07 cm B) 96 cm C) 35 cm D) 80 cm 53) 54) 55) 56) A survey showed that students had these preferences for instructional materials. Use the graph to answer the question. 57) About how many students would you expect to prefer TV in a school of 000 students? A) About 80 students B) About 200 students C) About 20 students D) About 2 students 57) 6

7 Solve the problem. 58) A triangle drawn on a map has sides of lengths 8.0 cm, 2 cm, and 3 cm. The shortest of the corresponding real-life distances is 22 km. Find the longest of the real-life distances. Round to the nearest unit. A) 98 km B) 83 km C) 32 km D) 75 km 59) A church steeple casts a shadow ft long, and at the same time a 8.0-ft post cast a shadow 7.0 ft long. How high is the steeple? Round to the nearest unit. A) 8 ft B) 2 ft C) 97 ft D) 27 ft 60) A line from the top of a cliff to the ground passes just over the top of a pole 7.0 ft high and meets the ground at a point 9.0 ft from the base of the pole. If the point is 67 ft from the base of the cliff, how high is the cliff? Round to the nearest unit. A) 469 ft B) 422 ft C) 52 ft D) 6 ft Solve the inequality. Write the solution set in interval notation and graph it. 6) 9 < 3x 24 58) 59) 60) 6) A) 3 x < B) -3 x < C) 3 < x D) -3 < x

8 62) -6-2z ) A) -6 < z < B) -6 z C) 2 < z < D) 2 z Write an inequality involving the variable x that describes the set of numbers graphed. 63) A) x < 3 B) x 3 C) x 3 D) x > 3 63) 64) A) x B) x < C) x D) x > 64) 65) A) x -4 B) x > -4 C) x -4 D) x < -4 65) 66) A) -6 < x < -2 B) -6 < x -2 C) -6 x < -2 D) -6 x -2 66) 67) A) - x 3 B) - x < 3 C) - < x < 3 D) - < x 3 Solve the problem. 68) There are 7450 self-employed persons in a town. If this represents 5% of the total number, what is the total number? Round to the nearest whole number. A) 497 B) 8 C) 49,667 D),800 67) 68) 8

9 69) The appliance store where the Jordans shop offers a 6% discount for paying cash. The Jordans received a discount of $5. What was their total bill before the discount? Round to the nearest dollar. A) $3 B) $9 C) $850 D) $300 69) A survey showed that students had these preferences for instructional materials. Use the graph to answer the question. 70) About how many students would you expect to prefer radio in a school of 550 students? A) About 5 students B) About 99 students C) About 28 students D) About 98 students Solve the problem. 7) In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 0% solution to get a 6% solution. How many liters of the 0% solution are needed? A) 3.5 L B) 2.5 L C) 7.0 L D) 4.5 L 72) Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 7%. He made a total of $730 in interest. How much was invested at 7%? A) $7000 B) $5000 C) $4500 D) $ ) Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 2%. His total annual income from the two investments was $3960. How much was invested at 2%? A) $24,000 B) $2600 C) $6000 D) $26,000 74) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 0 more of the twenties. The total value of the money is $650. Find the number of five-dollar bills that the teller has. A) 38 five-dollar bills B) 8 five-dollar bills C) 8 five-dollar bills D) 28 five-dollar bills 75) From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 7 miles per hour and Fred rides 9 miles per hour. In how many hours will they be 80 miles apart? A) 6 hours B) 5 hours C) 4 hours D) Not enough information 76) From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 5 miles per hour. In how many hours will they be 48 miles apart? A) 6 hr B) hr C) 4 hr D) 5 hr 70) 7) 72) 73) 74) 75) 76) 9

10 Write each inequality in interval notation and graph the interval on a number line. 77) 0 x < 4 77) A) (0, 4) B) [0, 4] C) [0, 4) D) (0, 4] Solve the inequality. Write the solution set in interval notation and graph it. 78) t - 9 5t ) A) t -2 B) t > C) t < D) t Solve the inequality and write the solution set in interval notation. 4 79) 3 t - 2 A) -«, - 9 B) - 9, «C) 9, «D) -«, 9 79) 0

11 Solve the inequality. Write the solution set in interval notation and graph it. 80) -6(2x + 6) + 2(x + 2) > -6(2x - 8) + 0(x - 8) A) (-«, 40) B) (-40, «) 80) C) (40, «) D) (-«, -40) Solve the problem. 8) If half a number is added to 5, the result is greater than or equal to -3. Find all such numbers. A) x > -6 B) x -5 C) x 2 D) x -6 82) Paul has grades of 65 and 86 on his first two tests. What must he score on his third test in order to have an average of at least 80? A) at least 76 B) at least 89 C) at most 77 D) at most 80 83) During the first four months of the year, Jack earned $850, $60, $620 and $360. If Jack must have an average salary of at least $000 in order to earn retirement benefits, what must Jack earn in the fifth month in order to qualify for benefits? A) at most $998 B) at least $998 C) at most $000 D) at least $00 84) A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 42 marbles in it. At least how many green marbles does it have? A) At least 28 green marbles B) At least 5 green marbles C) At least 4 green marbles D) At least 2 green marbles 8) 82) 83) 84) 85) The formula for converting Fahrenheit temperature to Celsius is C = 5 (F - 32). If a bottle of 9 85) prescription medicine is to be kept below 20e Celsius, how would you describe this warning using Fahrenheit temperature? A) It must be kept below 94e Fahrenheit. B) It must be kept below 68e Fahrenheit. C) It must be kept below 43e Fahrenheit. D) It must be kept below -2e Fahrenheit.

12 Answer Key Testname: MATH24-CHAPTER 2-STUDY GUIDE ) B 2) A 3) C 4) D 5) B 6) A 7) D 8) A 9) C 0) B ) D 2) C 3) D 4) C 5) B 6) C 7) C 8) A 9) A 20) A 2) C 22) A 23) C 24) C 25) D 26) A 27) C 28) C 29) A 30) C 3) B 32) D 33) C 34) D 35) D 36) D 37) C 38) D 39) A 40) B 4) D 42) B 43) C 44) D 45) B 46) D 47) C 48) B 49) D 50) B 2

13 Answer Key Testname: MATH24-CHAPTER 2-STUDY GUIDE 5) D 52) FALSE 53) C 54) C 55) C 56) C 57) C 58) A 59) D 60) C 6) C 62) D 63) A 64) A 65) C 66) D 67) B 68) C 69) C 70) C 7) A 72) D 73) D 74) B 75) B 76) C 77) C 78) A 79) B 80) C 8) D 82) B 83) D 84) C 85) B 3