Enter Title

LCM

100

Find the LCM of 30, 75, 100

300

200

Find the LCM of 9y⁴ and 12y

36y⁴

300

Find the LCM of 4x³y³ and 18xy⁵

36x³y⁵

400

One traffic light turns red every 45 seconds. Another traffic light turns red every 60 seconds. Both traffic lights just turned red. In how many seconds will they turn red at the same time again?

180 seconds

500

The city’s baseball team plays at its home field every 6 days.  The same city’s football team plays at its home field every 14 days.  Both teams just played at their home field on Saturday.  In how many more days will this happen again?  What day of the week will it be?

In 42 days on sunday

GCF

100

Find the GCF of 21, 28, 56

7

200

Find the GCF of 5n⁴ and 15n⁵

5n⁴

300

Find the GCF of 12x²y³ and 42x³y²

6x²y²

400

You must cut four pieces of wood that measure 36 inches, 45 inches, 81 inches, and 108 inches into smaller, equally sized pieces. What is the longest each piece can be so that each piece is the same length?

9 inches

500

A florist is making identical bouquets from 360 tulips, 270 roses, and 180 lilies. No flowers should be left over. What is the greatest number of bouquets that the florist can make? What will each bouquet contain?

90 bouquets

4 tulips, 3 roses, 2 lilies

Exponent Rules

100

Evaluate the expression  -(4³)²

-4096

200

Simplify using only positive exponents.

c⁵ . c^-3 . c^-2

1

300

Simplify using only positive exponents.

(2⁴e⁶) / (2²e⁴)

4e²

400

Simplify using only positive exponents.

(18p^-6) / (3p³)

6 / p⁹

500

Simplify using only positive exponents.

4^2x . 4^x-3 = 4¹²

x=5

Scientific Notation

100

Write this number in scientific notation:

8,100,000,000

8.1 x 10⁹

200

Write this number in scientific notation:

0.0000000342

3.42 x 10^-8

300

Write this number in standard form:

4.35 x 10⁶

4,350,000

400

Write the product in scientific notation:

(2 x 10⁷) x (4 x 10^-3)

8 x 10⁴

500

Find the quotient:

(2.2 x 10⁸) / (2 x 10⁵)

1.1 x 10³

Misc.

100

Compare using >, <, or =

5/9     ?     16/24

<

200

Write the prime factorization of 2000 using exponential notation.

2⁴ . 5³

300

Order from least to greatest:

-1/2 , -1/8 , -3/4 , -5/16

-1/8 , -5/16 , -1/2 , -3/4 

400

Write the prime factorization of  54w³z⁴

2 . 3 . 3 . 3 . w . w . w . z . z . z . z

500

Find the area of a rectangle with a length of 5m and a width of 5m + 10

25m² + 50m