Lesson Worksheet: Simplifying Monomials: Quotient Rule Mathematics • 9th Grade

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

Q1:

Simplify โˆ’20๐‘ฅโˆ’10๐‘ฅ.

Q2:

Simplify ๐‘ฅ๐‘ฅ๏Šญ๏Šฌ.

  • A๐‘ฅ๏Šง๏Šฉ
  • B1๐‘ฅ
  • C๐‘ฅ๏Šจ
  • D๐‘ฅ
  • E๐‘ฅ๏Šฉ

Q3:

Simplify ๐‘ฅรท๐‘ฅ๏Šจ, given that ๐‘ฅโ‰ 0.

  • A๐‘ฅ๏Šฑ๏Šง
  • B๐‘ฅ๏Šจ
  • C๐‘ฅ๏Ž ๏Žก
  • Dโˆ’๐‘ฅ
  • E๐‘ฅ๏Šฉ

Q4:

Simplify โˆ’12๐‘ฅ๐‘ฆ6๐‘ฅ๐‘ฆ๏Šฌ๏Šซ๏Šช.

  • Aโˆ’2๐‘ฅ๐‘ฆ๏Šง๏Šฆ๏Šฌ
  • Bโˆ’2
  • Cโˆ’2๐‘ฅ๐‘ฆ๏Šฌ๏Šซ
  • Dโˆ’2๐‘ฅ๐‘ฆ๏Šจ๏Šช

Q5:

Simplify ๏€น14๐‘ฅรท7๐‘ฅ๏…+4๐‘ฅ๏Šง๏Šฆ๏Šช๏Šฌ, where ๐‘ฅโ‰ 0.

  • A6๐‘ฅ๏Šจ
  • B6๐‘ฅ๏Šฌ
  • C11๐‘ฅ๏Šฌ
  • D11๐‘ฅ๏Šจ
  • E6๐‘ฅ๏Šง๏Šช

Q6:

Simplify ๐‘ฅร—๐‘ฅ๐‘ฅ๏Šจ๏Šฉ๏Šฉ๏Šซ๏Šง๏Šญ, where ๐‘ฅโ‰ 0.

  • A๐‘ฅ๏Šซ
  • B๐‘ฅ๏Šง๏Šง
  • C๐‘ฅ๏Šช๏Šญ
  • D๐‘ฅ๏Šช๏Šง

Q7:

Simplify ๐‘ฅ๐‘ฆร—๐‘ฅ๐‘ฆ๐‘ฅ๐‘ฆ๏Šช๏Šช๏Šจ๏Šช๏Šช๏Šฉ.

  • A๐‘ฅ๐‘ฆ๏Šจ๏Šซ
  • B(๐‘ฅ๐‘ฆ)๏Šง๏Šจ
  • C๐‘ฅ๐‘ฆ๏Šจ๏Ž ๏Žฅ๏Žข
  • D๐‘ฅ๐‘ฆ๏Šฌ๏Šฉ
  • E(๐‘ฅ๐‘ฆ)๏Šญ

Q8:

Find the missing side length of the following rectangle.

  • A20๐‘ฅ
  • B6๐‘ฅ
  • C๐‘ฅ6
  • D6๐‘ฅ๏Šจ
  • E20๐‘ฅ๏Šจ

Q9:

What is the length of a rectangle whose area is 10๐‘ฅ๐‘ฆ๏Šฌ cm2 and whose width is 5๐‘ฅ๐‘ฆ cm?

  • A2๐‘ฅ๐‘ฆ๏Šฌ cm
  • B2๐‘ฅ๐‘ฆ๏Šซ cm
  • C2๐‘ฅ๏Šซ cm
  • D5๐‘ฅ๏Šซ cm

Q10:

Find an expression for the shaded cross-sectional area of the following rectangular prism.

  • A4๐‘ง
  • B224๐‘ง๏Šจ
  • C16๐‘ฆ๐‘ง๏Šจ
  • D16๐‘ง๏Šจ
  • E4๐‘ฆ๐‘ง๏Šจ

Practice Means Progress

Download the Nagwa Practice app to access 27 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.