MATHEMATICS FOR ELEMENTARY TEACHERS I FINAL EXAM REVIEW

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1 MATHEMATICS FOR ELEMENTARY TEACHERS I FINAL EXAM REVIEW Find the GCD or LCM as indicated. ) Given 6 and 96, find the LCM. ) Let f(x) = x +. Find f(83). ) Given 08 and 3, find the GCD. Find the LCM for the given numbers by an appropriate method. 3) 4, 6, and 0 Use least common multiple or greatest common divisor to solve the problem. 4) Rob can complete his bus route in 6 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time. ) A brick layer is hired to build three walls of equal length. He has bricks which are 9 inches, 7 inches, and inches long. He plans to build one wall out of each type of brick. What is the shortest length of wall possible? Compute or simplify as much as possible. 6) (-3) - (-3) 3) A group of 9 people wants to buy a boat. The boat costs $44. If they all pay the same amount, how much is each person's share? Compute. 4) Tom earned $3 a week for washing cars. How much has he earned in the last 9 weeks? ) (6 0) (-8 9) 6) (-4) Simplify. 7) + (w + 3) - w Provide the proper response. Show all fractions in simplest form. 8) Write a fraction to represent the shaded portion of the figure. 7) 8 - (3 - x) Add. 8) ) Write as an addition problem and find the sum. 0) Jack's checking account was overdrawn by $9. He deposited $44 into his account. What is the balance in his account? Perform the indicated computation. ) -4 - (0 + 7) 9) Write a fraction to represent the shaded portion of the figure. Write the fraction in simplest form. 0) 8xy 4x y

2 Find the requested fraction. ) =? 96 Determine whether the fractions are equal. ) 9 and 7 33 Answer the question. Give your answer in simplest form. 3) For lunch, Jamie bought a 8-inch submarine sandwich. What fraction of a foot was Jamie's sandwich? ( foot = inches) 4) A teacher bought a package of 48 markers for her first-grade class. After one school year, markers were still working. What fraction of the package of markers was working? Express the result using a simple, convenient fraction that is close in value to the exact answer. Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". ) 36, 0 Perform the indicated operation. Express your answer in simplest form. 6) - 7 7) Change the following fraction to a mixed number. 8) 9 3 Change the following mixed number to a fraction in the form a, where a and b are integers and b 0. b 9) 4 3 Choose the best estimate from the list. 30) is approximately 3, 3 3, 3 3, 4. Express your answer in simplest form. 3) The second tallest child in a class is 36 3 inches tall. The tallest child is 3 inches taller. How tall is the tallest child in the class? Find the product. Write your answer in simplest form. 3) Solve for x in the following. 33) x - 7 = 7 34) A recipe calls for cup of milk. How much milk should be used to make of the recipe? Write the following in simplest form using positive exponents. 3) 3 36) Solve for n in the following. 37) n = 9 Write the following as a sum using powers of 0 to show place value. 38) 40.8 Rewrite as a numeral. 39) Two thousand and twenty-five hundred-thousandths Write the terminating decimal as a in simplest form b where a, b I and b 0. 40) 6.9

3 Mentally determine if the number can be written as a terminating decimal 4) 34 Order the decimals from least to greatest. 4).84,.48,.84,.48 Rewrite the number or expression as requested. 43) 3,000,000,000 (Rewrite in scientific notation.) 4) 03 to base five Write the numeral in base ten. ) 436eight Provide an appropriate response. 6) Write the base-four numeral for the base-four blocks shown. Round the number as specified. 44) to the nearest hundredth Write the fraction in decimal notation. 4) 3 7 Convert the repeating decimal to a fraction. 46) 0.67 Rewrite the following as indicated. 47) (Write as a percent.) Find the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. 48) $4,469 earning.9% for months Find the Cartesian product or cardinal number as requested. 7) A = {i, a} B = {t, d, m} Find A B. 8) n(a) = n(b) = n(c) = 3 n(a B C) =? Shade the portion of the diagram that represents the given set. 9) A B For the following, write an equivalent numeral in the Hindu-Arabic system. 49) MCMLXVI For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. 0) 3063; Egyptian Use set notation to identify the shaded region. 60) Write the place value of the underlined numeral. ) 0, Write the following as a base-ten numeral. ) Convert the base-ten number to a number in the indicated base. 3) 39 to base six 3

4 Use sets to solve the problem. 6) The circles in the Venn diagram represent customers who prefer products A, B, and C, respectively. Which of the regions numbered one through eight describe customers who prefer Products A or C? Fill in the missing numbers. 73) ( ) ( ) ( ) Rewrite the subtraction problem as an equivalent addition problem. 6) 8 - x = 74) 36 a Find the solutions in the set W. 63) + (6 + 3) = (x + 6) + 3 Find, if possible, the whole number that makes the equation true. 64) ( + 7) = + 7 6) 0 = undefined State the property that is illustrated. 66) ( ) = 67) = 68) (4 + 6)(9 + ) = (4 + 6)9 + (4 + 6) 69) 3(6 ) = (3 6) Find the solution. 70) (x - 7) = 9 7) 4(x + 4) = 8 7) 3 times Gail's salary is equal to 6 times Nancy's salary. If Gail's salary is $8,00, what is Nancy's salary? 7) An elementary school has 4 classrooms, each of which can take 8 children. How many children can the school accept for admission? Estimate the following mentally. 76) Provide an appropriate response. 77) Pam uses front-end estimation and adds 34,, 48 as ( ) to get the answer 980. Pat rounds up the numbers and adds to get 90. Who has the better answer? Round the number to the place value indicated. 78) 6,94 Estimate by rounding. 79) ) 89 Estimate the answer to the problem. 8) A mobile library has 09 books in its collection. If there are shelves in the library, then how many books, on average, are stacked on each shelf? Determine all possible digits to place in the square that make the statement true. If none exist, state this. 8) 4,3 6 is divisible by 4. 4

5 83) 74,3 is divisible by 6. 84) A group of teachers order markers for their classrooms. The bill was $3.9. If the original price per marker was 7 and the price has risen, how much does each marker cost now? Provide the appropriate response. 8) There is a number that has,, and 8 as divisors. This number has exactly seven additional divisors. What is the number? Compute. 97) - Simplify. 98) 3 + 4(w + ) - w Factor the expression, then simplify if possible. 99) 6xy + 0x - xz 00) x - 36y Find the prime factorization. 86) 606 Find the GCD or LCM as indicated. 87) Given 48, 6, and 9, find the LCM. 88) Given, 4, and 7, find the GCD. Find the GCD for the given numbers by an appropriate method. 89) 96 and 944 Write as an addition problem and find the sum. 90) Jack's checking account was overdrawn by $9. He deposited $7 into his account. What is the balance in his account? Perform the indicated computation. 9) -0 + [(-9) - (-3)] 9) Let f(x) = -x -. Find f(60). 93) Let f(x) = - x. Find f(80). 94) Ajay averages 0 miles per gallon of gasoline in his car. How far can he travel on 7 gallons of gasoline? 9) ( ) 3 96) -36 (3 - )

6 Answer Key Testname: FINAL EXAM REVIEWSPR0 ) 67 ) 3),600 4) 9:00 am ) 3 inches 6) -0 7) + x 8) -6 9) -3 0) -$9 + $44 = -$ ) - ) 84 3) $46 4) $3 ) 0 6) 3 7) 9w + 8) 9) 3 8 0) y x ) ) Yes 3) 3 ft 4) ) 0 6) ) , 0 3) 43 33) ) cup 3) 8 36) 7 37) 3 or 3 38) ) ) ) No 4).48,.48,.84,.84 43) ) ) ) ) 6 3 % 48) $0,64.63; $, ) 966 0) ) Hundred thousands ) ) 30six 4) 4003five ) 86 6) 3four 7) {(i, t), (i, d), (i, m), (a, t), (a, d), (a, m)} 8) 30 9) 8) 6 3 9) 3 30) 3 3 3) 40 7 in. 6 60) B A 6),,4,,6,7 6) x + = 8 63) 64) Any whole number

7 Answer Key Testname: FINAL EXAM REVIEWSPR0 6) Any whole number 66) identity property of multiplication 67) commutative property of multiplication 68) distributive property of multiplication over addition 69) associative property of multiplication 70) 7) 3 7) $4,00 73) (4) (7) () ) a = 4 7) 39 76) ) Pam, as her adjustments to the actual numbers are much closer. 78) 70,000 79) 40 80) 600,000 8) 0 8), 3,, 7, 9 83),, 8 84) 3 8) 80 86) 73 87) 96 88) 3 89) ) -$9 + $7 = -$4 9) -6 9) ) 69 94) 340 miles 9) ) ) ) 9w + 99) x(6y z) 00) (x + 6y)(x - 6y) 7