Unit 3 Review

Prime Factorization

100

What is the prime factorization of 9?

3²

200

What is the prime factorization of 12?

2² • 3

300

What is the prime factorization of 72?

2² • 3²

400

What is the prime factorization of 100?

2² • 5²

500

What is the prime factorization of 98?

2 • 7²

Reducing Fractions

100

Simplify: 2/8

1/4

200

Simplify: 3/15

1/5

300

Simplify: 12/20

3/5

400

Simplify: 20/24

5/6

500

Simplify: 8/64

1/8

Simplifying Expressions

100

Simplify using exponent properties: 2² • 2³

2⁵

200

Simplify using exponent properties: x⁵/x³

x²

300

Simplify using exponent properties: 2x² • 3x⁵

6x⁷

400

Simplify using exponent properties: 3x⁴/5x⁷

3/5x³

500

Simplify using exponent properties: 12x⁵/8x¹¹

3/2x⁶

Relatively Prime

100

What is the definition of "relatively prime"?

Two (or more) numbers that have no common factors.

200

Are 12 and 15 relatively prime?

No, 3 is a factor of both.

300

Are 20 and 21 relatively prime?

Yes

400

Are 100 and 150 relatively prime?

No, several common factors (2, 5, 10, 25, 50...)

500

Give an example of two 2-digit numbers that are NOT individually prime, that are RELATIVELY prime.

Many answers. 10 & 21, 15 & 28, etc...

GCF/LCM

100

What is the greatest common factor (GCF) of 18 and 24?

6

200

What is the least common multiple (LCM) of 12 and 18?

36

300

What is the LCM of 7 and 8?

56

400

What is the GCF of 8x² and 12x?

4x

500

What is the LCM of 16x³ and 10x⁴?

80x⁴