Properties of Exponents

Multiply Monomials

100

(x)(x²)

x³

200

3a^4*5a^3

15a^7

300

 -ab^3*2a^4b^9 

-2a^5b^12

400

(-2ab^4)(5ab)(-b^2)

10a^2b^7

500

(11x^4y^7)(10x^-3y^-6)(-1)

-110xy

Powers of Powers

100

(x^4y^3)^5

x^20y^15

200

(3a^2)^3

27a^6

300

(-2jk^4)^4

16j^4k^16

400

(3x^2y)^2*(2xy)^3

72x^7y^5

500

(-5x^2)^2(-x^5)^5(2x)

-50x^30

Expand!!

100

Expand  a^3bc^4 

a*a*a*b*c*c*c*c

200

Expand  (3ab^3)^2 

(3*a*b*b*b)(3*a*b*b*b)

300

Simplify: 

2a*a*a*a*b*b*c

2a^4b^2c

400

Expand:

(x+2)^2(x-1)^3

(x+2)(x+2)(x-1)(x-1)(x-1)

500

Expand: ((2a)/b)^4 

((2a)/b)((2a)/b)((2a)/b)((2a)/b)

Random Trivia

100

How many days are there in a leap year?

366

200

What was the first state in the United States?

Delaware

300

What sports event has the most world wide viewers?

FIFA World Cup Finals

400

How old is Mr. Bader?

44 years young

500

What is the most populated city in the world?

Tokyo

Systems Of Equations

100

How many solutions does this system have?

y=2x+3

y=-2x+3

One solution

200

Solve:

x+y=5

2x+y=8

(3,2)

300

Solve:

y=2x+1

x+y=10

(3,7)

400

Solve

6x+2y=8

y=-3x+4

Infinite Solutions

500

Brenda purchased 20 books.  Chapter books are $5 each and picture books are $3 each. If she spent a total of $82.  How many of each type of book did she purchase.

11 chapter books and 9 picture books.