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

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

Q1:

Simplify βˆ’20π‘₯βˆ’10π‘₯.

Q2:

Simplify π‘₯π‘₯.

  • Aπ‘₯
  • B1π‘₯
  • Cπ‘₯
  • Dπ‘₯
  • Eπ‘₯

Q3:

Simplify π‘₯Γ·π‘₯, given that π‘₯β‰ 0.

  • Aπ‘₯
  • Bπ‘₯
  • Cπ‘₯
  • Dβˆ’π‘₯
  • Eπ‘₯

Q4:

Simplify βˆ’12π‘₯𝑦6π‘₯π‘¦οŠ¬οŠ«οŠͺ.

  • Aβˆ’2π‘₯π‘¦οŠ§οŠ¦οŠ¬
  • Bβˆ’2
  • Cβˆ’2π‘₯π‘¦οŠ¬οŠ«
  • Dβˆ’2π‘₯π‘¦οŠ¨οŠͺ

Q5:

Simplify ο€Ή14π‘₯Γ·7π‘₯+4π‘₯οŠͺ, where π‘₯β‰ 0.

  • A6π‘₯
  • B6π‘₯
  • C11π‘₯
  • D11π‘₯
  • E6π‘₯οŠͺ

Q6:

Simplify π‘₯Γ—π‘₯π‘₯, where π‘₯β‰ 0.

  • Aπ‘₯
  • Bπ‘₯
  • Cπ‘₯οŠͺ
  • Dπ‘₯οŠͺ

Q7:

Simplify π‘₯𝑦×π‘₯𝑦π‘₯𝑦οŠͺοŠͺοŠͺοŠͺ.

  • Aπ‘₯π‘¦οŠ¨οŠ«
  • B(π‘₯𝑦)
  • Cπ‘₯π‘¦οŠ¨οŽ οŽ₯
  • Dπ‘₯π‘¦οŠ¬οŠ©
  • E(π‘₯𝑦)

Q8:

Find the missing side length of the following rectangle.

  • A20π‘₯
  • B6π‘₯
  • Cπ‘₯6
  • D6π‘₯
  • E20π‘₯

Q9:

What is the length of a rectangle whose area is 10π‘₯π‘¦οŠ¬ cm2 and whose width is 5π‘₯𝑦 cm?

  • A2π‘₯π‘¦οŠ¬ cm
  • B2π‘₯π‘¦οŠ« cm
  • C2π‘₯ cm
  • D5π‘₯ cm

Q10:

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

  • A4𝑧
  • B224π‘§οŠ¨
  • C16π‘¦π‘§οŠ¨
  • D16π‘§οŠ¨
  • E4π‘¦π‘§οŠ¨

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