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.

Q1:

Calculate 3𝑥𝑥.

  • A𝑥3𝑥
  • B3𝑥𝑥
  • C3𝑥3𝑥
  • D3𝑥+3𝑥
  • E3𝑥+3𝑥

Q2:

Expand 2𝑥𝑥+𝑥.

  • A2𝑥+2𝑥
  • B2𝑥2𝑥
  • C2𝑥+2𝑥
  • D2𝑥2𝑥
  • E2𝑥2𝑥

Q3:

Expand and simplify the expression 2𝑥3𝑥+6𝑥+8.

  • A3𝑥+6𝑥+6𝑥
  • B6𝑥+12𝑥+16𝑥
  • C3𝑥+6𝑥+8𝑥
  • D6𝑥+12𝑥+16𝑥
  • E6𝑥+12𝑥+16𝑥

Q4:

Expand and simplify the expression 2𝑎𝑏𝑐𝑎𝑐+4𝑎𝑏𝑏𝑐.

  • A2𝑎𝑏𝑐8𝑎𝑏𝑐+2𝑎𝑏𝑐
  • B2𝑎𝑏𝑐+2𝑎𝑏𝑐+2𝑎𝑏𝑐
  • C2𝑎𝑏𝑐+2𝑎𝑏𝑐
  • D2𝑎𝑏𝑐8𝑎𝑏𝑐
  • E2𝑎𝑏𝑐8𝑎𝑏𝑐+2𝑎𝑏𝑐

Q5:

Simplify the expression 2𝑥(𝑥𝑦+𝑦)𝑦(2𝑥𝑦)𝑥(2𝑦1).

  • A𝑥4𝑥𝑦+𝑦
  • B𝑦𝑥
  • C𝑥+4𝑥𝑦+𝑦
  • D𝑥𝑦
  • E𝑥+𝑦

Q6:

A triangle has a height of (2𝑥+1) and a base of 2𝑥. Find the area of the triangle in terms of 𝑥.

  • A2𝑥+2𝑥
  • B𝑥+𝑥
  • C2𝑥+𝑥
  • D4𝑥+𝑥
  • E𝑥+2𝑥

Q7:

Fill in the blank: The area of the rectangle with dimensions 2𝑥 and 𝑥+𝑦 is .

  • A2𝑥+2𝑥𝑦
  • B𝑥+𝑥𝑦
  • C2𝑥+𝑥𝑦
  • D3𝑥+3𝑥𝑦
  • E3𝑥+𝑦

Q8:

Find the area of the shaded region.

  • A𝑥+8𝑥
  • B2𝑥+8𝑥
  • C2𝑥
  • D𝑥+4𝑥
  • E8𝑥

Q9:

Find an expression for the area of the parallelogram.

  • A2𝑥+6𝑥
  • B2𝑥+6𝑥
  • C3𝑥+5𝑥
  • D2𝑥+6
  • E3𝑥+5𝑥

Q10:

Find the value of the constant 𝑘, given that 𝑥𝑦(12𝑥+𝑘𝑦) is equivalent to 12𝑥𝑦+2𝑥𝑦.

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