Lesson Worksheet: Multiplying an Algebraic Expression by a Monomial Mathematics • 9th Grade

In this worksheet, we will practice multiplying an algebraic expression by a monomial.


Calculate 3๏€น๐‘ฅโˆ’๐‘ฅ๏…๏Šฉ.

  • A๐‘ฅโˆ’3๐‘ฅ๏Šฉ
  • B3๐‘ฅโˆ’๐‘ฅ๏Šฉ
  • C3๐‘ฅโˆ’3๐‘ฅ๏Šฉ
  • D3๐‘ฅ+3๐‘ฅ๏Šฉ
  • Eโˆ’3๐‘ฅ+3๐‘ฅ๏Šฉ


Expand โˆ’2๐‘ฅ๏€น๐‘ฅ+๐‘ฅ๏…๏Šจ๏Šช๏Šจ.

  • Aโˆ’2๐‘ฅ+2๐‘ฅ๏Šฌ๏Šช
  • B2๐‘ฅโˆ’2๐‘ฅ๏Šฌ๏Šช
  • C2๐‘ฅ+2๐‘ฅ๏Šฌ๏Šช
  • Dโˆ’2๐‘ฅโˆ’2๐‘ฅ๏Šฌ๏Šช
  • Eโˆ’2๐‘ฅโˆ’2๐‘ฅ๏Šฎ๏Šช


Expand and simplify the expression ๏€น2๐‘ฅ๏…๏€น3๐‘ฅ+6๐‘ฅ+8๏…๏Šช๏Šจ.

  • A3๐‘ฅ+6๐‘ฅ+6๐‘ฅ๏Šฎ๏Šช๏Šช
  • B6๐‘ฅ+12๐‘ฅ+16๐‘ฅ๏Šจ๏Šฉ๏Šช
  • C3๐‘ฅ+6๐‘ฅ+8๐‘ฅ๏Šฌ๏Šซ๏Šช
  • D6๐‘ฅ+12๐‘ฅ+16๐‘ฅ๏Šฎ๏Šช๏Šช
  • E6๐‘ฅ+12๐‘ฅ+16๐‘ฅ๏Šฌ๏Šซ๏Šช


Expand and simplify the expression โˆ’2๐‘Ž๐‘๐‘๏€น๐‘Ž๐‘+4๐‘Ž๐‘โˆ’๐‘๐‘๏…๏Šจ๏Šฉ๏Šจ๏Šจ.

  • Aโˆ’2๐‘Ž๐‘๐‘โˆ’8๐‘Ž๐‘๐‘+2๐‘Ž๐‘๐‘๏Šฉ๏Šฉ๏Šฉ๏Šฉ๏Šช๏Šจ๏Šช๏Šฉ
  • Bโˆ’2๐‘Ž๐‘๐‘+2๐‘Ž๐‘๐‘+2๐‘Ž๐‘๐‘๏Šฉ๏Šฉ๏Šฉ๏Šฉ๏Šช๏Šจ๏Šช๏Šฉ
  • Cโˆ’2๐‘Ž๐‘๐‘+2๐‘Ž๐‘๐‘๏Šฉ๏Šฉ๏Šฉ๏Šจ๏Šช๏Šฉ
  • Dโˆ’2๐‘Ž๐‘๐‘โˆ’8๐‘Ž๐‘๐‘๏Šฉ๏Šฉ๏Šฉ๏Šฉ๏Šช
  • Eโˆ’2๐‘Ž๐‘๐‘โˆ’8๐‘Ž๐‘๐‘+2๐‘Ž๐‘๐‘๏Šจ๏Šฉ๏Šจ๏Šจ๏Šฉ๏Šจ๏Šจ๏Šจ


Simplify the expression 2๐‘ฅ(๐‘ฅ๐‘ฆ+๐‘ฆ)โˆ’๐‘ฆ(2๐‘ฅโˆ’๐‘ฆ)โˆ’๐‘ฅ(2๐‘ฆโˆ’1)๏Šจ.

  • A๐‘ฅโˆ’4๐‘ฅ๐‘ฆ+๐‘ฆ๏Šจ๏Šจ
  • B๐‘ฆโˆ’๐‘ฅ๏Šจ๏Šจ
  • C๐‘ฅ+4๐‘ฅ๐‘ฆ+๐‘ฆ๏Šจ๏Šจ
  • D๐‘ฅโˆ’๐‘ฆ๏Šจ๏Šจ
  • E๐‘ฅ+๐‘ฆ๏Šจ๏Šจ


A triangle has a height of (2๐‘ฅ+1) and a base of 2๐‘ฅ. Find the area of the triangle in terms of ๐‘ฅ.

  • A2๐‘ฅ+2๐‘ฅ๏Šจ
  • B๐‘ฅ+๐‘ฅ๏Šจ
  • C2๐‘ฅ+๐‘ฅ๏Šจ
  • D4๐‘ฅ+๐‘ฅ๏Šจ
  • E๐‘ฅ+2๐‘ฅ๏Šจ


Fill in the blank: The area of the rectangle with dimensions 2๐‘ฅ and ๐‘ฅ+๐‘ฆ is .

  • A2๐‘ฅ+2๐‘ฅ๐‘ฆ๏Šจ
  • B๐‘ฅ+๐‘ฅ๐‘ฆ๏Šจ
  • C2๐‘ฅ+๐‘ฅ๐‘ฆ๏Šจ
  • D3๐‘ฅ+3๐‘ฅ๐‘ฆ๏Šจ
  • E3๐‘ฅ+๐‘ฆ


Find the area of the shaded region.

  • A๐‘ฅ+8๐‘ฅ๏Šจ
  • B2๐‘ฅ+8๐‘ฅ๏Šจ
  • C2๐‘ฅ๏Šจ
  • D๐‘ฅ+4๐‘ฅ๏Šจ
  • E8๐‘ฅ


Find an expression for the area of the parallelogram.

  • A2๐‘ฅ+6๐‘ฅ๏Šจ
  • B2๐‘ฅ+6๐‘ฅ๏Šฉ๏Šจ
  • C3๐‘ฅ+5๐‘ฅ๏Šจ
  • D2๐‘ฅ+6
  • E3๐‘ฅ+5๐‘ฅ๏Šฉ๏Šจ


Find the value of the constant ๐‘˜, given that ๐‘ฅ๐‘ฆ(12๐‘ฅ+๐‘˜๐‘ฆ)๏Šจ is equivalent to 12๐‘ฅ๐‘ฆ+2๐‘ฅ๐‘ฆ๏Šฉ๏Šจ๏Šจ.

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