# Exponent Rules - GCF - Divisibility Rules

Worksheet (Pre-Algebra)

## Exponent Rules - GCF - Divisibility Rules Worksheet

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.

## Lesson:

To use divisibility rules, find GCF, apply exponent rules, and evaluate expressions

24

4

No

## Samples:

Pre-Algebra Worksheet

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

1. Which number is divisible by 3?
a. 3887 b. 845 c. 7475 d. 5850 e. none

2. Which number is divisible by 9?
a. 227 b. 3087 c. 8330 d. 1748 e. none

3. Identify the list below in which all numbers are divisible by 2.
a. 78, 22, 77, 25, 10 b. 88, 42, 20, 60, 50, 101
c. 10, 46, 98, 26, 202 d. 71, 52, 21, 80, 40, 10

4. Identify the list below in which all numbers are divisible by 5.
a. 128, 122, 175, 25, 100 b. 180, 45, 200, 610, 505
c. 175, 406, 980, 265, 202 d. 711, 502, 205, 805, 405

5. Identify the list below in which all numbers are divisible by 10.
a. 100, 120, 170, 250, 4700 b. 181, 55, 253, 613, 505
c. 175, 405, 980, 265, 2000 d. 10, 20, 30, 40, 55

Write using exponents.

7. c · d · c · 4 · c · d · 10 · d

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=, GCF=

Write each fraction in simplest form.

17. 8/16

19-20) Evaluate. Write answer in Simplest Form.

22-34) Simplify using the rules for exponents.

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?

34. Eight people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there all together?