Factors, Fractions, and Exponents

Factors and Prime Factorization

100

Write all the factors of 26

1, 2, 13, 26

200

Write 100 as a product of prime factors.

2*2*5*5

300

Write 120 as a product of prime factors (using exponents!)

2^3*3*5

400

Write 252 as a product of prime factors (using exponents!)

2^2*3^2*7

500

What value of x makes the expression 7x + 1 = a prime number.

2, 4, 6, 8, 10

Greatest Common Factor

100

Find the greatest common factor between:

36 and 45

9

200

Find the greatest common factor:

21, 9, 45

3

300

Find the greatest common factor:

7x², 28x

7x

400

Find the greatest common factor:

12m²n³, 70m³n

2m²n

500

You are making first-aid kits to go camping. You have 48 bandages, 15 squares of gauze, 6 tubes of antibiotic ointment, and 6 ice packs. What is the greatest number of identical first-aid kits that you can make with these supplies?

3 kits; 16 bandages, 5 squares of gauze, 2 tubes of antibiotic ointment, and 2 ice packs in each

Equivalent Fractions

100

Find the value of x to make the expression an equivalent fraction:

1/4=x/8

x = 2

200

Write the fraction in simplest form

16/24

2/3

300

Find the value for x to make the fractions equivalent:

3/4=x/12

x = 9

400

Find the value of x to make the fractions equivalent:

10/15=2/x

x = 3

500

John cut his pizza into 6 equal slices and ate two of them. Tim cut his pizza(the same size) into 3 equal slices and ate one of them. Did they eat the same amount of pizza?

Yes. They both ate 

1/3

Scientific Notation

100

What are the rules for writing the factor of scientific notation?

What is that the factor must be between 1 and 10 with only one number to the left of the decimal.

200

Convert the 1.234 x 10^-2 into standard notation.

What is 0.01234

300

Convert 785.665 into scientific notation.

What is 7.85665 x 10²

400

(1.25 x 10⁴)(8.0 x 10⁴)

What is 1.0 x 10⁹

500

Evaluate:

(6.0 x 10³) / (1.5 x 10^-2)

What is 4.0 x 10⁵

Multiplication and Division of Exponents

100

Simplify with one exponent

(8⁷)(8⁵)

8¹²

200

Simplify with one exponent

0.6^9/0.6^4

(0.6)⁵

300

Simplify with one exponent

(4r⁵)(2r)

8r⁶

400

Simplify with one exponent

(24m^11)/(18m^3)

(4m^8)/3

500

The Great Pyramid in Egypt is composed of about 2²¹ limestone and granite blocks. The average mass of one of these blocks is about 2¹¹ kilograms. What is the total mass in kilograms of the Great Pyramid?

2³² kg

Negative and Zero Exponents

100

Write 3y^-2 using positive exponents.

3/y^2

200

1000⁰

1

300

Simplify with a positive exponent

(0.2)^-3/(0.2)^4

1/(0.2)^7

400

Simplify

(m^8n^4)/(m^2n^9)

m^6/n^5

500

Simplify

(9a^0b^2c^-1)/(3a^1b^-1c^3)

3b^3/a^1c^2