confidential1 good afternoon! today we will do pre-quiz practice problems of numbers & algebraic...
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CONFIDENTIAL 1
Good Afternoon!
Today we will do pre-quiz practice problems of
NUMBERS & ALGEBRAIC CONCEPTS
CONFIDENTIAL 2
Divisibility1. Which number divides evenly into 120,
240, and 360 with no remainder, but will not divide evenly into 160 and 320?
1. 22. 33. 44. 5
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Divisibility2. A number divides evenly into 27, 30,
33, and 36. Which of the following will the number also divide evenly into?
1. 472. 483. 494. 50
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Divisibility3. 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.
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Divisibility4. 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.
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Divisibility5. 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?
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Prime Factorization6. Which of the following best describes
the numbers 6, 15, 21, 28, and 32?1. Composite2. Even3. Odd4. Prime
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Prime Factorization7. Which figure represents a prime number?
1) 2)
3) 4)
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Prime Factorization8. Write 38 as a product of prime factors.
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Prime Factorization9. 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.)
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Prime Factorization10. Find the least prime number that is
greater than 70.
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Powers & Exponents11. How is 3 x 3 x 3 x 3 expressed using
exponents?1. 33
2. 43
3. 3 x 33
4. 34
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Powers & Exponents12. How is 46 written as a product?
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Powers & Exponents13. The length of one day on Venus is 35
Earth days. Express this exponent as a product. Then find the value of the product.
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Powers & Exponents14. 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?
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Powers & Exponents15. The diameter of Mars is about 94
kilometers. Write 94 as a product. Then find the value of the product.
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Order of Operations16. Which operation should be done first in
20 – 3 x 6 ÷ 2 + 3
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Order of Operations17. Find the value of the expression:
96 ÷ 42 + (25 x 2) - 15 - 3
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Order of Operations18. What is the value of ten plus fifty
divided by five times two minus 6?
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Order of Operations19. 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
Item ticket snack
Soda
Cost ($) 6 3 2
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Order of Operations20. Write an expression whose value is 10.
It should contain four numbers and two different operations.
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Variables & Expressions21. What is the value of (8 x r) – 4 if r= 4?
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Variables & Expressions22. What is the value of 4b ÷3, if b = 3?
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Variables & Expressions23. The table shows the
results of a survey in which people were asked to name the place they use technology when away from home. Write an expression to represent the total number of people who participated in the survey?
Place Number of responses
On vacation
57
While driving
57
Outdoors 42
Mall X
Gym 17
Public restrooms
10
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Variables & Expressions24. Distance traveled can be found using the
expression r x t, where r represents rate and t represents time. How far will you travel if you drive for 9 hours at a rate of 65 miles per hour?
CONFIDENTIAL 26
Variables & Expressions25. The equation 13 + a = 51 describes the sum
of ages of Elizabeth and her mother. If a is Elizabeth’s mother’s age, what is the age of Elizabeth’s mother?
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Problem Solving26. True or False? If 14 + b = 86, then b =
78.
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Problem Solving27. The table shows the
distance Trevor rode his bike each day for a week. At this rate, how many miles will he ride on Saturday?
Day Distance (mi)
Sunday 2
Monday 5
Tuesday 8
Wednesday 11
Thursday ?
Friday ?
Saturday ?
CONFIDENTIAL 29
Problem Solving28. The table shows how much
Kyle has earned in each of the last four weeks doing chores.
1. How much can he expect to earn the fifth week if this pattern continues?
2. Explain the pattern.
Week Amount ($)
1 2
2 3
3 5
4 9
CONFIDENTIAL 30
Problem Solving29. 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.
CONFIDENTIAL 31
Problem Solving30. 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
Day Pages Read
Monday 5
Tuesday 11
Wednesday 19
Thursday 29
Friday 41
Saturday ?