1. CONFIDENTIAL1 Good Afternoon! Today we will do pre-quiz practice problems of NUMBERS & ALGEBRAIC CONCEPTS

2. CONFIDENTIAL2 Divisibility 1. Which number divides evenly into 120, 240, and 360 with no remainder, but will not divide evenly into 160 and 320? 1. 2 2. 3 3. 4 4. 5

3. CONFIDENTIAL3 Divisibility 2. A number divides evenly into 27, 30, 33, and 36. Which of the following will the number also divide evenly into? 1. 47 2. 48 3. 49 4. 50

4. CONFIDENTIAL4 Divisibility 3. 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. CONFIDENTIAL5 Divisibility 4. 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. CONFIDENTIAL6 Divisibility 5. 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. CONFIDENTIAL7 Prime Factorization 6. Which of the following best describes the numbers 6, 15, 21, 28, and 32? 1. Composite 2. Even 3. Odd 4. Prime

8. CONFIDENTIAL8 Prime Factorization 7. Which figure represents a prime number? 1)2) 3)4)

9. CONFIDENTIAL9 Prime Factorization 8. Write 38 as a product of prime factors. 2 x 19

10. CONFIDENTIAL10 Prime Factorization 9. 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. CONFIDENTIAL11 Prime Factorization 10. Find the least prime number that is greater than 70. 71

12. CONFIDENTIAL12 Powers & Exponents 11. How is 3 x 3 x 3 x 3 expressed using exponents? 1. 3 3 2. 4 3 3. 3 x 3 3 4. 3 4

13. CONFIDENTIAL13 Powers & Exponents 12. How is 4 6 written as a product? 4 x 4 x 4 x 4 x 4 x 4

14. CONFIDENTIAL14 Powers & Exponents 13. The length of one day on Venus is 3 5 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. CONFIDENTIAL15 Powers & Exponents 14. 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? 4 4 ; 256 lbs

16. CONFIDENTIAL16 Powers & Exponents 15. The diameter of Mars is about 9 4 kilometers. Write 9 4 as a product. Then find the value of the product. 9 x 9 x 9 x 9; 6,561km

17. CONFIDENTIAL17 Order of Operations 16. Which operation should be done first in 20 – 3 x 6 ÷ 2 + 3 3 x 6

18. CONFIDENTIAL18 Order of Operations 17. Find the value of the expression: 96 ÷ 4 2 + (25 x 2) - 15 - 3 38

19. CONFIDENTIAL19 Order of Operations 18. What is the value of ten plus fifty divided by five times two minus 6? 24

20. CONFIDENTIAL20 Order of Operations 19. 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. Cost of going to the Movies ItemticketsnackSoda Cost ($)632 5 x $6 + 5 x $3 + 5 x $2 = $55

21. CONFIDENTIAL21 Order of Operations 20. Write an expression whose value is 10. It should contain four numbers and two different operations. Sample Answer: 25 ÷ 5 + 10 ÷ 2

22. CONFIDENTIAL22 Variables & Expressions 21. What is the value of (8 x r) – 4 if r= 4? 28

23. CONFIDENTIAL23 Variables & Expressions 22. What is the value of 4b ÷3, if b = 3? 4

24. CONFIDENTIAL24 Variables & Expressions 23. 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? PlaceNumber of responses On vacation 57 While driving 57 Outdoors 42 Mall X Gym 17 Public restrooms 10 X + 183

25. CONFIDENTIAL25 Variables & Expressions 24. 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. CONFIDENTIAL26 Variables & Expressions 25. 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. CONFIDENTIAL27 Problem Solving 26. True or False? If 14 + b = 86, then b = 78. False; b = 72

28. CONFIDENTIAL28 Problem Solving 27. 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? DayDistance (mi) Sunday2 Monday5 Tuesday8 Wednesday11 Thursday? Friday? Saturday? 20 miles

29. CONFIDENTIAL29 Problem Solving 28. The table shows how much Kyle has earned in each of the last four weeks doing chores. 1. How much can he expect to earn the fifth week if this pattern continues? 2. Explain the pattern. WeekAmount ($) 12 23 35 49 $17; Add 1 to the first week and then add double the difference between the two previous weeks.

30. CONFIDENTIAL30 Problem Solving 29. 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. CONFIDENTIAL31 Problem Solving 30. 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. Pages read by Elias DayPages Read Monday5 Tuesday11 Wednesday19 Thursday29 Friday41 Saturday? 55