Index Laws

Index Law 1 & 3

100

Simplify:

3² x 3⁴ =

3⁶

200

Simplify:

(7²)⁴ =

7⁸

300

Simplify:

5⁹ x 5⁸ x 5 = 

5¹⁸

400

Simplify:

5² x 5³ x 2⁴ x 2⁵ = 

5⁵ x 2⁹

500

Simplify:

2³ x 3⁴ x (2²)⁵ x 3² =

2¹³ x 3⁶

Index Law 2 & 4

100

6⁰ = 

1

200

Simplify:

4⁵ ÷ 4² =

4³

300

6⁰ - 4⁰ = 

0

400

Simplify:

4⁷ ÷ 4³ ÷ 4 = 

4³

500

Simplify:

6(3⁵) ÷ 2(5⁰) =

3⁶

Algebra

100

Simplify:

5x + 2x + 6 - 3

7x + 3

200

Simplify:

5x + 7y + 4y - x

4x + 11y

300

Simplify:

6xyxx-3wp

-18pwxy

400

Simplify:

(12ab^2c)/(4ab)

3bc

500

Simplify:

4m²n + 2m - m²n + n² - 7m - 2nm²

m²n - 5m + n²

Expanding

100

Expand the following expression:

2(t + 4)

2t + 8

200

Expand using the distributive property:  

2p(4p - 9q)

2p² - 18pq

300

Expand:

-7 (7b - 10)

70 - 49b

400

Expand and simplify the following expression:

7(g + 4) - 3(4g + 5)

13 - 5g

500

Expand and simplify:

-3 (12v + 5u) + 9(4v - u)

-24u

Random

100

What is the smallest planet in our solar system?

Mercury

200

What is a group of Lions called?

A Pride

300

What country has the most islands in the world? (Hint: It's in Europe)

Sweden

400

What is the name for the plastic or metal tube found on the ends of shoelaces?

An aglet

500

What is the name of Mr Loves Dog?

Daphne