Lesson: Dividing Monomials

In this lesson, we will learn how to divide monomials involving single and multiple variables.

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Worksheet: Dividing Monomials • 18 Questions • 2 Videos

Q1:

Simplify 7 × 7 × 7 7 × 7 × 7 × 7 3 2 6 3 5 2 2 .

Q2:

Calculate 1 3 × 1 3 ÷ 1 3 5 2 4 , giving your answer in its simplest form.

Q3:

What is the length of a rectangle whose area is 1 0 𝑥 𝑦 6 cm2 and whose width is 5 𝑥 𝑦 cm?

Q4:

Simplify 3 2 ÷ 3 2 6 2 .

Q5:

Simplify √ 5 × √ 5 √ 5 6 2 4 .

Q6:

Simplify √ 3 × − √ 3 √ 3 2 1 3 3 .

Q7:

Which of the following is equal to √ 2 × √ 2 √ 2 − 7 6 − 5 ?

Q8:

What is the value of − √ 3 ÷ √ 3 6 3 ?

Q9:

Simplify 1 2 × √ 2 × 6 3 6 × √ 2 − 2 − 1 3 − 3 .

Q10:

Calculate √ 2 × √ 2 − √ 2 √ 2 × √ 2 + √ 2 1 6 − 2 6 1 6 − 2 6 .

Q11:

Simplify √ 2 × √ 6 √ 1 2 1 2 6 8 .

Q12:

Express 1 √ 2 ÷ 4 √ 2 3 in its simplest form.

Q13:

What must 3 𝑦 be multiplied by to get 1 8 𝑥 𝑦 𝑧 2 ?

Q14:

What must 3 𝑦 be multiplied by to get 1 8 𝑥 𝑦 𝑧 2 ?

Q15:

Calculate 3 × 3 3 + 3 × 2 7 2 4 .

Q16:

Calculate − 3 × − 1 − × − 1 5 7 1 2 6 1 6 5 6 3 2 4 , giving your answer in its simplest form.

Q17:

Simplify 1 7 1 5 × 1 2 3 4 3 × 9 2 4 2 3 .

Q18:

Calculate 7 × 2 1 4 2 4 3 .
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