Exploring Multiplying Monomials in Algebra

Which of the following is a monomial?

• 3/x

• 3x^(-2)

• 3x + y

• 3x^2

Why is 3x + y not considered a monomial?

• Because it has a negative exponent

• Because it involves addition of terms

• Because it has a fractional exponent

• Because it involves division by a variable

Which of the following expressions is a monomial?

• 3x^(-2)

• X/Y

• X^2 + Y^2

• 23ABCD^2

What is the result of multiplying y^4 by y^5?

• y^1

• y^45

• y^9

• y^20

If you multiply 21 by y^4 and y^5, what is the simplified result?

• 21y^45

• 21y^1

• 21y^9

• 21y^20

What is the simplified form of (B^3)^5?

• B^35

• B^10

• B^15

• B^8

How do you simplify (G^6)^7?

• G^42

• G^49

• G^1

• G^13

What is the area of a square with side length 3xy^2?

• 6xy^2

• 9xy^4

• 9x^2y^4

• 3x^2y^4

How do you express the area of a triangle with base 5a and height 4a?

• 10a^2

• 20a^2

• 10a^2b^2

• 20a^2b^2

What is the simplified form of 1/2 a^2 b^2 to the third power?

• 1/4 a^6 b^6

• 1/8 a^6 b^6

• 1/8 a^3 b^3

• 1/2 a^6 b^6