Worksheet: Multiplying an Algebraic Expression by a Monomial

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

Q1:

Simplify 3𝑥𝑦4𝑥𝑦.

  • A12𝑥𝑦
  • B12𝑥𝑦
  • C7𝑥𝑦
  • D7𝑥𝑦
  • E12𝑥𝑦

Q2:

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

Q3:

Calculate 3𝑥𝑥.

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

Q4:

Simplify the expression 2𝑥𝑦2𝑥𝑦3𝑥𝑦.

  • A4𝑥𝑦6𝑥𝑦
  • B4𝑥𝑦5𝑥𝑦
  • C4𝑥𝑦+6𝑥𝑦
  • D4𝑥𝑦+6𝑥𝑦
  • E4𝑥𝑦6𝑥𝑦

Q5:

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

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

Q6:

Calculate 2𝑥𝑥+𝑥.

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

Q7:

Consider a rectangle of width 2𝑥. The length of the rectangle is 2 more than its width. Find the area of the rectangle in terms of 𝑥.

  • A4𝑥
  • B4𝑥+2𝑥
  • C2𝑥+2𝑥
  • D4𝑥
  • E4𝑥+4𝑥

Q8:

Find the area of the shaded region.

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

Q9:

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

Q10:

Consider the following shape.

Fill in the blank: The area of part A in terms of 𝑥 and 𝑦 is .

  • A3𝑥
  • B2𝑥
  • C𝑥
  • D2𝑥
  • E3𝑥

Fill in the blank: The area of part B in terms of 𝑥 and 𝑦 is .

  • A𝑥𝑦
  • B𝑥𝑦
  • C2𝑥𝑦
  • D2𝑥+𝑦
  • E2𝑥𝑦

Fill in the blank: The area of the whole rectangle in terms of 𝑥 and 𝑦 is .

  • A4𝑥+𝑦
  • B2𝑥+𝑥𝑦
  • C3𝑥+2𝑥𝑦
  • D2𝑥+2𝑥𝑦
  • E𝑥+𝑥𝑦

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