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Prime Factorization
GCF
Equivalent Fractions
LCM & LCD
Exponents and Scientific Notation
100

Write the prime factorization for:

27

3^3

100

Find the greatest common factor of the numbers and tell whether they are relatively prime:

25, 75

25; not relatively prime

100

Write two fractions that are equivalent to 12/20

answers will vary

100

Use the LCD to determine which fraction is greater.

3/5, 8/15

3/5

100

Worth 200: Find the product: Write your answer using positive exponents

2^11 * 2^3

& 

5x * 4x^9

2^14


20x^10

200

Write the prime factorization for:

84

2^2*3*7

200

Find the greatest common factor of the numbers and tell whether they are relatively prime:

30, 49

1; relatively prime

200

Write the fraction in simplest form:

27/90

3/10

200

Use the LCD to determine which fraction is greater.

3/35 and 7/45

7/45

200

Worth 400: Find the Quotient. Write your answer using positive exponents:

7^6/7^9

&

4w^15/24w^3

1/7^3


w^12/6

300

Factor the monomial:

36a^4b^3

2*2*3*3*a*a*a*a*b*b*b

300

Find the GCF of the monomials:

6x, 15x

3x

300

Write the fraction in simplest form:

46/60

23/30

300

You and your friend are on different soccer teams. this season, your team won 14 out of 20 games. Your friend's team won 18 out of 24 games. Which team won a greater fraction of its games?

Your friend's team

300

Worth 400:

Write the numbers in standard form:

8.97 X 10^-9

and

5.1 x 10^9

.00000000897

5,100,000,000

400

Factor the monomial:

72w^6z

2*2*2*3*3*w*w*w*w*w*w*z

400

Find the GCF of the monomials:

7xy^3, 28xy^2

7xy^2

400

Write the fraction in simplest form:

8xy/16y

x/2

400

Find the LCM of the numbers or monomials:

10, 24

120

400

Worth 500:

Write the number in scientific notation:

6,450,000,000,000

&

.00000093

6.45 x 10^12


9.3 x 10^-7

500

Which number is not prime?

7, 37, 53, or 57

57

500

You want to make woven plastic bracelets. You have 3 pieces of plastic lacing with lengths 45 cm, 75 cm, and 60 cm. You need to cut the lacing into pieces of the same length. What is the greatest possible length each piece can be without any lacing being wasted?

15 cm

500

12a^2/2ab

6a/b

500

Find the LCM of the numbers or monomials:

6m^2, 10m^3

30m^3

500

A square has a side length of 4x^6 centimeters. Represent the area of the square using exponents. 

16x^12 cm^2