CHAPTER 1 TEST B.tst
Math 118Chapter 1 Study GuideMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Decide whether the argument is an example of inductive or deductive reasoning.1) If (-p)2 = p2, then (-7)2 = 49A) InductiveB) Deductive1) Determine the most probable next term in the sequence.2) 34, 28, 22, 16, 10A) 0B) 6C) 2D) 42) Use inductive reasoning to predict the next equation.3) 6 × 8 = 7 × 9 - 158 × 10 = 9 × 11 - 19A) 10 × 12 = 11 × 13 - 23B) 10 × 12 = 11 × 13 - 21C) 10 × 12 = 11 × 13 + 21D) 10 × 12 = 13 × 19 - 233) Use the method of Gauss to find the sum.4) 1 + 2 + 3 + ... + 1000A) 500,500B) 250,000C) 500,000D) 1,002,0014) Find a pattern and use it to solve the problem.F, S, S, M, TFind the next term.WB) SC) TD) F5) Use the indicated formula to find the sum.Use S = n(n+1) to find the sum of 1 + 2 + 3 + ... + 825. 2A) 339,076B) 340,725C) 340,312D) 339,9006) Use the method of successive differences to determine the next term in the sequence.7) 14, 20, 31, 47, 68, ...A) 94B) 98C) 99D) 897) Use the appropriate formula to find the indicated figurate number.8) the 18th square numberA) S18 = 171B) S18 = 324C) S18 = 36D) S18 = 3618) Use the method of successive differences to determine the next term in the sequence.9) 4, 14, 82, 268, 657, 1359, ...A) 2484B) 2509C) 2499D) 25349) Use logic to solve the problem.A farmer had a stone weighing 40 pounds that he used to weigh pigs, but the stone broke into 4 pieces. The farmer found to his surprise that with the four pieces, he could weigh any whole number from 1 to 40. What did each of the 4 pieces weigh?A) 1, 4, 9, and 26 lbB) 1, 4, 8, and 27 lbC) 1, 3, 9, and 27 lbD) 1, 3, 7, and 29 lb10) Use problem solving strategies to solve the problem.A mouse is at the bottom of a 10-foot-tall clock. Every hour he climbs up 3 feet. But when the clock strikes at the hour, he falls back 1 foot. If the mouse starts climbing at 8 a.m., at what time to the nearest minute will it reach the top of the clock?A) 1:00 p.m.B) 12:30 p.m.C) 12:40 p.m.D) 1:10 p.m.11) Determine the number of figures (of any size) in the design.Cubes (of any size)A) 10B) 9C) 15D) 1412) Solve the problem.If you raise 4 to the 214th power, what is the units digit of the result? A) 2B) 8C) 6D) 413) A certain part of a metropolitan area has a palindromic, 5-digit area code, say abcde, satisfying these conditions:a, b and c are all multiples of two and are all less than 8; a ≠ b but a + b = 6;c ≠ d but a + c = 12; e ≠ b or d;b + d ≠ 4.Determine the area code.A) 60606B) 42024C) 24842D) 4424414) Complete the magic (addition) square. A magic square has the property that the sum of the numbers in any row, column, or diagonal is the same.Use each number 3, 4, 5, 6, 7, 8, 9, 10, and 11 once.15) 64793A)B)6114610457957983108311C)D)6114684579579103810311Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display.16) 25.5 - 2.1 × 7.9A) 36.96B) 8.91C) 15.5D) 185.6516) Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true.17)-13 ; 4 -2 ; 6 -1.8 ; 8 -278An even root of a negative number is negative.An even root of a negative number can be either positive or negative.An even root of a negative number is undefined.An even root of a negative number is positive.17) Give the appropriate counting number answer to the problem.One cook can make enough food for 350 people a night. How many cooks are needed to feed 2341 people a night?A) 6B) 5C) 7D) 818) One cook can make enough food for 350 people a night. How many cooks are needed to feed 2917 people a night?A) 8B) 7C) 10D) 919) The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.MAJOR20) How many more English majors are there than history majors?A) 150B) 200C) 100D) 50020) Answer KeyBDAAABABBccccAcBccDc ................
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