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Pre-Algebra Worksheet
Exponent Rules - GCF - Divisibility Rules



Worksheet Information 
Subject
Pre-Algebra
Lesson
Exponent Rules - GCF - Divisibility Rules
Description
This worksheet, which was previously a test, starts with problems on the divisibility rules of 2, 3, 5, 9, and 10.  There are problems on simplifying exponents, order of operations, prime factorization, GCF, reducing fractions, evaluating expressions, and using the rules for exponents.
Number of Problems
24
Number of Pages
4
Answer Key
No



Sample Problems from Worksheet (diagrams not shown) 

Use the divisibility tests for 2, 3, 5, 9, and 10 to answer the following questions.

1. Which number is divisible by 3?

Write using exponents.

6. –5 · x · x · 4 · y · y · x
 
Simplify each expression (find the answer) using order of operations.

8. (15 – 13)3 ÷ 2

Use a Factor Tree or the Cake Method to find each number’s Prime Factorization. If the number is prime, write prime.

12) 150

Find the GCF (Greatest Common Factor) of the following numbers.

14) 12, 20

Write each fraction in simplest form.

17. 8/16


Evaluate. Write answer in Simplest Form.

19. (2a + b)/21 for a = 2 and b = 10

Simplify using the rules for exponents.

#s 21-32

33. A hoagie shop serves 5 kinds of hoagies: Italian, Steak and Cheese, Meatball, Turkey, and Veggie. You have any hoagie using white, wheat, or rye bread. Suppose you eat there every day. For how many days can you order a hoagie that is different from any you have ordered before?
 

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