Essential Mathematics. Study Guide #1

Transcription

1 Math 54CM Essential Mathematics Name Date Study Guide # Exam # is closed book and closed notes. NO CALCULATORS. Please clearly show any work necessary to get partial credit. Be sure to show your answer clearly.. Find the place value of the digit 5 in the following whole numbers: a) 859,4,647 b) 79,5, c) 657. Write the standard form for: a) three million, forty-eight thousand, two b) forty-two thousand, nine c) seven thousand, eight hundred ninety-six. Write the word name for: a) 4,564 b) 64,485 c) 4. Write the expanded form for: a) 7,594 b) 577 c),76 5. Write the standard form for: a), + 5, b) 9, c),

2 6. Round 54,786,6 to the nearest a) million b) ten thousand c) hundred 7. Round 69,999 to the nearest a) thousand b) hundred c) ten 8. Find one number that when rounded to the nearest ten is Estimate the sum indicated below by first rounding each number to the nearest thousand: 56, ,5. Estimate the product by first rounding each factor to the nearest hundred: (587)(). Multiply. Show all steps. Do not round. (587)(). Divide. Show all steps. Do not round. If there is a remainder, write it as part of your answer. 5, Find each quotient a) b) 4. a) What is the quotient of 45 and? b) What is the product of and? c) What is the sum of 4 and? d) What is the difference of and 7? 5. Find the area of this rectangle: inches 5 inches 6. Find the perimeter of the square: feet

3 7. An instructor at Cabrillo College earns $4,765 in 995, $45,9 in 996 and $48,4 in 997. Find the total amount the instructor earns during the three-year period. 8. Three desks cost a total of $59. If two of the desks cost $8 each, how much does the third desk cost? 9. The following table shows populations of some cities (as of 5) in the United States. Rank City 5 Phoenix, AZ,46,575,,46 Austin, TX 69,5 656,5 Seattle, WA 57,9 56,74 4 Las Vegas, NV 545,47 478,44 5 Portland, OR 5,47 59, 6 Sacramento, CA 456,44 47,8 (Source: The World Almanac, ) What was the difference in the populations of Austin and Sacramento in?. a) Write using exponential notation: b) Write using exponential notation: x x y y y z z z z c) Simplify: 5 9. Evaluate: 5 In problems 4, simplify by doing the indicated operations (in the correct order).. (4)() + (4 ). 9 [( + ) (5 )] Use the Distributive Property to complete the right hand side of the equation. 4 (x + y) = + 6. Simplify each of the following. a) b) 5 c) 4 d) 7 e) f) 5 g) h) 7

4 7. a) Draw and shade a diagram that represents 8. b) Draw and shade a diagram that represents Write as an improper fraction Write as a mixed number Write the prime factorization of each number. a) 6 b) 94. Write in simplest form Write in simplest form. 9. Determine whether the fractions are equivalent. Answer yes or no and show work to support your answer Determine whether the fractions are equivalent. Answer yes or no and show work to support your answer Multiply. Write your answer in simplest form. 7 7 a) b) 8 6. Multiply. Write your answer in simplest form Multiply. 7 8 a) 4 b) Multiply. Write your answer as a mixed number Find the area of a rectangle that measures 4 feet by feet. Remember to include the appropriate units in your answer. 4. Divide. Write your answer as an improper fraction in simplest form. 4 6

5 4. Divide. Write the answer in simplest form, or if necessary as a mixed number with the fraction part in simplest form. a) 7 5 b) 4 4 c) In a family with children, there are 4 boys and 7 girls. What fraction of the children are girls? 4. In a recent year, 46 films were released and rated. Of these, 75 were rated PG-. What fraction of the films were rated PG-? Write your answer in simplest form. 44. A recipe for chocolate chip cookies calls for flour would you need? 45. During a 88-mile trip, a car used a single gallon of gas? 4 cups of flour. If you are making batches, how much gallons of gas. How many miles would we expect the car to travel on 46. Prior to an oil spill, the stock in an oil company sold for $ per share. As a result of the liability that the company incurred from the spill, the price per share fell to 4 of the price before the spill. What did the stock sell for after the spill? 47. A ribbon is ½ yards long. It will be cut into pieces that are ¾ yards long. How many pieces of ribbon can be cut? 48. Write the word name for: 44,,89 In problems 49 and 5, simplify by doing the indicated operations (in the correct order)