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Good Afternoon!

Good Afternoon!. Today we will do pre-quiz practice problems of. NUMBERS & ALGEBRAIC CONCEPTS. Divisibility. Which number divides evenly into 120, 240, and 360 with no remainder, but will not divide evenly into 160 and 320? 2 3 4 5. Divisibility.

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Good Afternoon!

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  1. Good Afternoon! Today we will do pre-quiz practice problems of NUMBERS & ALGEBRAIC CONCEPTS

  2. Divisibility • Which number divides evenly into 120, 240, and 360 with no remainder, but will not divide evenly into 160 and 320? • 2 • 3 • 4 • 5

  3. Divisibility • A number divides evenly into 27, 30, 33, and 36. Which of the following will the number also divide evenly into? • 47 • 48 • 49 • 50

  4. Divisibility • If all even numbers are divisible by 2, is it true that all odd numbers are divisible by 3? If so, explain your reasoning. If not, give a number for which this is not true. No; 17 is an odd number that is not divisible by 3.

  5. Divisibility • List the number of ways 126 books can be packaged for shipping to a school so that each package has the same number of books. 2 packages of 63 books; 3 packages of 42 books; 6 packages of 21 books; 9 packages of 14 books; 14 packages of 9 books; 21 packages of 6 books; 42 packages of 3 books; 63 packages of 2 books

  6. Divisibility • My mother is planning a large gathering for Thanksgiving for 153 people. She has tables that seat 5,6 or 9 people. If all of the tables must be the same size and all of the tables must be full, what size table should she use? 9 seater

  7. Prime Factorization • Which of the following best describes the numbers 6, 15, 21, 28, and 32? • Composite • Even • Odd • Prime

  8. Prime Factorization • Which figure represents a prime number? 1) 2) 3) 4)

  9. Prime Factorization • Write 38 as a product of prime factors. 2 x 19

  10. Prime Factorization • Find a counterexample for the statement below. All even numbers are composite numbers. (A counterexample is an example that shows a statement is not true.) (Hint: You need to find an even number that is not a composite number.) The number 2 is a prime number because ti has two factors, 1 and itself.

  11. Prime Factorization • Find the least prime number that is greater than 70. 71

  12. Powers & Exponents • How is 3 x 3 x 3 x 3 expressed using exponents? • 33 • 43 • 3 x 33 • 34

  13. Powers & Exponents • How is 46 written as a product? 4 x 4 x 4 x 4 x 4 x 4

  14. Powers & Exponents • The length of one day on Venus is 35 Earth days. Express this exponent as a product. Then find the value of the product. 3 x 3 x 3 x 3 x 3 = 243 Earth Days

  15. Powers & Exponents • A 100 pound person on Earth would weigh about 4 x 4 x 4 x 4 pounds on Jupiter. Write 4 x 4 x 4 x 4 using an exponent. Then find the value of the power. How much would a 100pound person weigh on Jupiter? 44; 256 lbs

  16. Powers & Exponents • The diameter of Mars is about 94 kilometers. Write 94 as a product. Then find the value of the product. 9 x 9 x 9 x 9; 6,561km

  17. Order of Operations • Which operation should be done first in 20 – 3 x 6 ÷ 2 + 3 3 x 6

  18. Order of Operations • Find the value of the expression: 96 ÷ 42 + (25 x 2) - 15 - 3 38

  19. Order of Operations • What is the value of ten plus fifty divided by five times two minus 6? 24

  20. Order of Operations • Javier and four friends go to the movies. Each person buys a movie ticket, snack, and a soda. Find the total cost of the trip to the movies. 5 x $6 + 5 x $3 + 5 x $2 = $55

  21. Order of Operations • Write an expression whose value is 10. It should contain four numbers and two different operations. Sample Answer: 25 ÷ 5 + 10 ÷ 2

  22. Variables & Expressions • What is the value of (8 x r) – 4 if r= 4? 28

  23. Variables & Expressions • What is the value of 4b ÷3, if b = 3? 4

  24. Variables & Expressions • The table shows the results of a survey in which people were asked to name the place they use technology when away from home. Write an expression to represent the total number of people who participated in the survey? X + 183

  25. Variables & Expressions • Distance traveled can be found using the expression r x t, where r represents rate and t represents time. How far will you travel if you drive for 9 hours at a rate of 65 miles per hour? 585 miles

  26. Variables & Expressions • The equation 13 + a = 51 describes the sum of ages of Elizabeth and her mother. If a is Elizabeth’s mother’s age, what is the age of Elizabeth’s mother? 38 years old

  27. Problem Solving • True or False? If 14 + b = 86, then b = 78. False; b = 72

  28. Problem Solving • The table shows the distance Trevor rode his bike each day for a week. At this rate, how many miles will he ride on Saturday? 20 miles

  29. Problem Solving • The table shows how much Kyle has earned in each of the last four weeks doing chores. • How much can he expect to earn the fifth week if this pattern continues? • Explain the pattern. $17; Add 1 to the first week and then add double the difference between the two previous weeks.

  30. Problem Solving • Dave wants to buy a new computer system that is priced at $2,475. He plans to put down $300 and will pay the rest in five equal payments. Find the amount of each payment. $435

  31. Problem Solving • The table shows the number of pages of a book Elias read during the past 5 days. How many pages Elias will read on Saturday if he continues at this rate. 55

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