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

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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

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