3-1 and 3-2 Math Review

Exponents

100

What is 2³?

8

200

What is the exponent in the expression 5⁴?

4

300

Simplify 3²×3³.

3^{5 or} 243

400

What is 10⁰?

1

500

How would you express 16 as a power of 2?

2⁴

Prime Factorization

100

What are the prime factors of 12?

2 x 2 x 3

200

What is the prime factorization of 30?

2 x 3 x 5

300

Find the prime factorization of 36?

2 x 2 x 3 x 3

400

What is the prime factorization of 45?

3 x 3 x 5

500

What is the prime factorization of 64?

2 x 2 x 2 x 2 x 2 x 2 or 2⁶

Greatest Common Factor

100

What is the greatest common factor of 12 and 16?

4

200

Find the greatest common factor of 30 and 45.

15

300

What method can you use to determine the greatest common factor?

Write out the factors for each number and then compare to find the greatest number in common. OR Create a factor tree and find the numbers in common and multiply them. 

400

 If the numbers are 54 and 24, what is their greatest common factor?

6

500

Explain how to use prime factorization to find the greatest common factor of 60 and 48.

Find the prime numbers that they have in common and then multiply them together. 

Least Common Multiple

100

What is the least common multiple of 4 and 5?

20

200

Calculate the least common multiple of 6 and 8.

24

300

Describe the process for finding the least common multiple of two numbers.

List out the multiples of each number (skip counting) and then find the smallest number they have in common. 

400

What is the least common multiple of 12, 15, and 20?

60

500

What is the LCM of 8, 4, and 3?

24

Distributive Property

100

Use the distributive property to simplify and solve: 3(4+5)

12 + 15 = 27

200

Use the distributive property to simplify: 7(x+2) 

7x + 14

300

Use the GCF and the distributive property to solve: 30 + 15 + 20

5(6+3+4)

400

Use the GCF and distributive to solve: 14 + 21 + 7.

7(2+3+1)

500

Simplify the expression: 5(2+3x)

10 + 15x