Your written assignment is to complete the written practice for lessons 5, 10, and 14. You will find those questions on the following pages.

Size: px

Start display at page:

Download "Your written assignment is to complete the written practice for lessons 5, 10, and 14. You will find those questions on the following pages."

Millicent Walker
5 years ago
Views:

1 Math Saxon Course 3 Summer Packet To prepare for your 8 th grade math course you need to watch the 8 videos listed on the ACE website. Please make sure that you watch them carefully and fully understand them as we will not be covering this lessons at the beginning of the year. The video titles are listed below: 1. Lesson - Order of Operations. Lesson 6 - Converting Measures 3. Lesson 7 - Rates and Average/Measures of Central Tendency 4. Lesson 8 - Perimeter and Area 5. Lesson 9 - Prime Numbers 6. Lesson 10 - Rational Numbers/Equivalent Fractions 7. Lesson 11 - Percents 8. Lesson 1 - Decimal Numbers Your written assignment is to complete the written practice for lessons 5, 10, and 14. You will find those questions on the following pages.

2 Example 3 Compare 3 of an hour and 5 of an hour. Explain why your answer is reasonable. Solution 3 of an hour > 5 of an hour The answer is reasonable because 3 of an hour is greater than half an hour and 5 of an hour is less than half an hour. Practice Set a. How many minutes is 1 6 of an hour? b. Justify Three fifths of the 30 questions on the test were multiplechoice. How many multiple-choice questions were there? Explain why your answer is reasonable. c. Greta drove 88 miles and used 8 gallons of fuel. Greta s car traveled an average of how many miles per gallon of fuel? d. Arrange these fractions from least to greatest. 5 10, 5 6, 5 1 Written Practice * 1. *. * 3. * 4. * 5. * 6. (3, 5) * Strengthening Concepts Connect How many yards is 1 4 of a mile? (A mile is 1760 yards.) Arrange these fractions from least to greatest. 4, 5, 3 Two thirds of the game attendees were fans of the home team. If 600 people attended the game, how many were fans of the home team? Risa typed 19 words in 6 minutes. She typed on average how many words per minute? To prepare for the banquet, Ted bought eleven packages of rolls with 4 rolls in each package. How many rolls did he buy? Patricia has a cell phone plan that includes 500 minutes of use per month. During the first week of a month, Patricia spoke on her phone for two and a half hours. How many minutes of her plan for the month remain? Volunteers collected non-perishable food items and packaged 14 items per box. If the volunteers collected a total of 00 items, how many boxes could they fill? Jenna budgeted $300 to redecorate a room. If she spent $54 on paint, how much money remains? Lesson 5 33

3 * 9. * * () 0. () * 1. () () 5. () 6. Three-fourths of the voters supported the bond measure. If there were 8000 voters, how many supported the bond measure? Represent The art teacher bought 19 sketchbooks for $.98 per book. What equation can be used to find the total cost of the sketchbooks? 19 A c = 19 $.98 B $.98 c C $.98 c = 19 D $ c The children sold lemonade for 5 per cup. If they sold forty cups of lemonade, how much money did they collect? If the children collected $10 at their lemonade stand but had spent $ on supplies, what was their profit? Write a word problem for this equation. 3 0 sec = t Write a word problem for this equation. 10 lb w = 3 lb The water level in the beaker was 10 ml before the small toy was placed into it. After the toy was submerged in the water, the level was 3 ml. The toy has as much volume as how many ml of water? Arrange these numbers from least to greatest. Analyze Compare: 1 5, 7, 4, 3, What two numbers have an absolute value of 6? Name a pair of addends with a sum of 6. Name a pair of factors with a product of 6. Use the numbers, 3, and 4 to provide an example of the Associative Property of Multiplication. Graph the numbers in this sequence on a number line:..., 6, 3, 0, 3, 6,... Identify two numbers that are 50 units from zero on a number line. If 10 6 = 4, what other subtraction fact and what two addition facts are true for 10, 6, and 4? If 6 5 = 30, what other multiplication fact and what two division facts are true for 6, 5, and 30? What is the sum of 5 and its opposite? 34 Saxon Math Course 3

4 7. Compare: 8 6 Explain Decide if the statements in 8 9 are true or false and explain why. If the answer is false, provide a counterexample (an example that disproves the statement). * 8. Some integers are counting numbers. * 9. All fractions are integers. (1, 5) 30. Use the Associative and Commutative Properties to make this calculation easier. Justify the steps. 6 (17 50) Lesson 5 35

Written Practice * 1. *. * 3. Strengthening Concepts Model Illustrate that 15 is composite by drawing two different rectangles that can be formed by 15 squares.

5 Written Practice * 1. *. * 3. Strengthening Concepts Model Illustrate that 15 is composite by drawing two different rectangles that can be formed by 15 squares. Represent Draw a factor tree for 90, then list the prime factors of 90. Which of these numbers has 5 and 3 as factors? A 61 B 45 C 333 D 165 * 4. Find the prime factors of 165 by dividing by prime numbers. For 5 6, use prime factorization to reduce each fraction. * 5. * (10) 165 (10) 10 For 7 8, complete each equivalent fraction. * 7. (10) 3 * (10) * 9. (10) 10. (8) * 11. (7) Sketch a number line and graph the points representing 3, 3, 0, and 1. What are the perimeter and area of a room that is 13 feet by 10 feet? The daily high temperatures (in degrees Fahrenheit) for a week are shown below. Find the mean, median, mode, and range of the data * 1. (7) 13. (6) * 19. (10) Which of the four measures from problem 11 would you report as the temperature which an equal number of data points are greater or less than? A two and a half hour performance is how many minutes? Three quarters of the 84 crayons are broken. How many crayons are broken? A total of 100 coins are arranged in 5 equal stacks. How many coins are in each stack? Phil planned to send 178 invitations. If he has already sent 69, how many are left to be sent? Write a word problem for this equation: 5 lb w = 3 1 lb Write a word problem for this equation: $ n = $18 Arrange the numbers from least to greatest: 0, 3 4, 4 3, 1, 1. Compare: 7 Compare: Saxon Math Course 3

6 . (1, 10) Compare: What is the absolute value of 3 4? What two numbers are 7 units from 0? Explain For problems 5 7, state whether the sentence is true sometimes, always, or never. Explain your answer. * 5. () * 6. () * 7. () 8. () 30. () A whole number is an integer. A mixed number is a whole number. A rational number is an integer. $ () $ The product of 17 and 6 is how much greater than the sum of 17 and 6? Lesson 10 67

Example If a taxi company charges a $ flat fee plus $3 per mile (m), then the cost (c) in dollars of a taxi ride is shown by this formula: 3 m + = c Suppose that the cost of a taxi ride is $0.

7 Example If a taxi company charges a $ flat fee plus $3 per mile (m), then the cost (c) in dollars of a taxi ride is shown by this formula: 3 m + = c Suppose that the cost of a taxi ride is $0. Find the length of the taxi ride by solving the equation 3 m + = 0. Solution This equation means that the number of miles is multiplied by 3, then is added making the total 0. 3 m + = 0 That means that 3 m equals 18. Since 3 m equals 18, m must equal 6. So the taxi ride was 6 miles. m = 6 Discuss Why does 3 m + = 0 mean that 3 m = 18? Practice Set a. A formula for the area (A) of a parallelogram is A = bh. Find the area of a parallelogram with a base (b) of 1 in. and a height (h) of 4 in. 1 in. 4 in. b. In the expression 4ac, what is the constant? c. Evaluate 4ac for a = 1 and c = 1. Analyze Solve each equation by inspection. d. w + 5 = 16 e. m 6 = 18 f. 5 n = 11 g. 5x = 30 h. d 4 8 i. 1 z 6 j. a 1 = 9 k. 0 = 3f 1 l. Admission to the county fair is $3. Each ride costs $. Nate has $15. Solve the following equation to find how many rides he can take. r + 3 = 15 Written Practice 1.. (7) Strengthening Concepts There were 56 farmers in the county 30 years ago. Five eighths of those farmers have changed occupations. How many of the 56 farmers changed occupations? Averaging 35 pages per hour, how many pages can Karina read in hours, in 3 hours, and in 4 hours? 94 Saxon Math Course 3

8 3. Each package of light bulbs contains 4 bulbs. If an employee at a construction office needs to order 480 bulbs, how many packages should she order? For problem 4, identify the plot, write an equation, and solve the problem. 4. Analyze * 9. When Betsy Ross made the American flag, it had 13 stars. On July 4, 1960, the 50th star was added to the flag for Hawaii. How many more stars were on the flag by July 4, 1960, than were on the Betsy Ross flag? Solve by inspection. 15 = m m = 4 3w = 36 * 8. x 3 = 4 * 10. Generalize Simplify. * 11. (13) * 13. (, 13) * 1. (13) 5x + 5 = 0 x Justify Rearrange the addends to make the calculations easier. Then simplify. Justify your steps. 3 8 a b 14. (1, 1) Arrange in order from least to greatest. 1, 1, 0, 3, 0.8, 1, Evaluate For problems 15 18, use the given information to find the value of each expression. * 15. Find ac when a = and c = 9. * 16. The formula for the perimeter of a square is P = 4s. Find P when s = 1. * 17. * (10) (). () For y = x 9, find y when x =. For d = rt, find d when r = 60 and t = 4. Arrange these fractions in order from least to greatest. 3, 3 4, 5 1 Write the prime factorization of 990. What is the difference between the product of 6 and 8 and the sum of 8 and 1? If 4 is the divisor, and 8 is the quotient, what is the dividend? Lesson 14 95

9 * 3. (8, 13) (7) If each side of a square is 1 in., then what is the perimeter of the square? Compare: a. 5 6 b. 5 6 The data below show the number of students in seven classrooms. What is the median number of students? 7, 30, 9, 31, 30, 3, 9 Estimate 8.5% sales tax on a $39.89 purchase. Express each percent as a decimal. a. 15% b. 8.5% Find each perimeter. 8. (8) 14 in. * 9. (8) 4 m 9 in. 8 in. 4 m 7 m 3 m * 30. (6, 8) Generalize Leah wants to carpet a room that is 1 feet wide and 15 feet long. Carpeting is sold by the square yard. Find the length and width of the room in yards. Then find the number of square yards needed to carpet the room. 96 Saxon Math Course 3

Number Line: Comparing and Ordering Integers (page 6)

LESSON Name 1 Number Line: Comparing and Ordering Integers (page 6) A number line shows numbers in order from least to greatest. The number line has zero at the center. Numbers to the right of zero are