# Worksheet: Simplifying Monomials: Quotient Rule

In this worksheet, we will practice dividing monomials involving single and multiple variables.

Q1:

What is the length of a rectangle whose area is cm2 and whose width is cm?

• A cm
• B cm
• C cm
• D cm

Q2:

What must be multiplied by to get ?

• A
• B
• C
• D
• E

Q3:

What must be multiplied by to get ?

• A
• B
• C
• D
• E

Q4:

The diagram shows a unit square of side . The blue rectangle has an area of .

Express in terms of quarters of .

• A
• B
• C
• D
• E

Which of the following is a multiplication equality giving the area of the blue rectangle?

• A
• B
• C
• D
• E

What is the unknown length of the blue rectangle?

• A
• B
• C
• D
• E

Q5:

Simplify , given that .

• A
• B
• C
• D
• E

Q6:

Which of the following is equal to , where ?

• A
• B
• C
• D
• E

Q7:

Simplify .

• A
• B
• C
• D
• E

Q8:

Simplify .

• A
• B
• C
• D

Q9:

Simplify .

• A
• B
• C
• D
• E

Q10:

Simplify , where .

• A
• B
• C
• D

Q11:

Simplify .

• A
• B
• C
• D
• E

Q12:

Simplify .

• A
• B
• C
• D
• E

Q13:

Simplify , where .

• A
• B
• C
• D
• E

Q14:

Simplify .

• A
• B
• C
• D
• E

Q15:

Find the quotient of .

• A
• B
• C
• D
• E

Q16:

Complete .

• A ,
• B ,
• C ,
• D ,

Q17:

Complete .

• A , ,
• B , ,
• C , ,
• D , ,

Q18:

Simplify .

• A
• B
• C
• D

Q19:

Simplify .

• A
• B
• C
• D
• E

Q20:

Simplify .

• A
• B
• C
• D
• E

Q21:

.

• A
• B
• C
• D

Q22:

Simplify .

Q23:

Simplify , where , and evaluate this expression when and .

• A , 27
• B , 27
• C , 3
• D ,

Q24:

Simplify .

• A
• B
• C
• D