Lesson Worksheet: Operations with Polynomials Mathematics

In this worksheet, we will practice adding, subtracting, multiplying, and dividing polynomial expressions.

Q1:

Express the area of a square with sides of length 8𝑎𝑏 as a monomial.

  • A16𝑎𝑏
  • B8𝑎𝑏
  • C64𝑎𝑏
  • D8𝑎𝑏
  • E64𝑎𝑏

Q2:

What is the volume of a cube of edge length 5𝑥𝑦?

  • A15𝑥𝑦
  • B125𝑥𝑦
  • C25𝑥𝑦
  • D125𝑥𝑦

Q3:

Simplify 𝑥𝑦4×8𝑥𝑦5.

  • A2𝑥𝑦5
  • B2𝑥𝑦5
  • C2𝑥𝑦5
  • D2𝑥𝑦5
  • E2𝑥𝑦5

Q4:

Simplify 𝑥𝑦.

  • A𝑥𝑦
  • B𝑥𝑦
  • C𝑥𝑦
  • D𝑥𝑦

Q5:

Write an expression for the area in cm2, of a triangle of height 3𝑥 cm and base 8𝑥𝑦 cm.

  • A5𝑥𝑦
  • B12𝑥𝑦
  • C12𝑥
  • D24𝑥𝑦
  • E12𝑥𝑦

Q6:

Write a monomial that is equal to the area of this square.

  • A9𝑎𝑏
  • B9𝑎𝑏
  • C3𝑎𝑏
  • D6𝑎𝑏
  • E9𝑎𝑏

Q7:

Simplify 6𝑥𝑦×(9𝑥𝑦).

  • A54𝑥𝑦
  • B54𝑥𝑦
  • C54𝑥𝑦
  • D54𝑥𝑦
  • E54𝑥𝑦

Q8:

Simplify 12𝑥𝑦6𝑥𝑦.

  • A2𝑥𝑦
  • B2
  • C2𝑥𝑦
  • D2𝑥𝑦

Q9:

Expand and simplify (𝑥2𝑦+3)(2𝑥+𝑦).

  • A2𝑥3𝑥𝑦2𝑦+5𝑥+3𝑦
  • B2𝑥3𝑥𝑦2𝑦+6𝑥+3𝑦
  • C2𝑥4𝑥𝑦+6𝑥
  • D𝑥𝑦2𝑦+3𝑦
  • E2𝑥5𝑥𝑦2𝑦+6𝑥+3𝑦

Q10:

Expand and simplify (2𝑥4𝑦)(2𝑥𝑦).

  • A4𝑥6𝑥𝑦4𝑦
  • B4𝑥10𝑥𝑦+4𝑦
  • C4𝑥+6𝑥𝑦+4𝑦
  • D4𝑥6𝑥𝑦+4𝑦
  • E4𝑥10𝑥𝑦+4𝑦

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