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Worksheet: Simplifying Expressions with Monomials

Q1:

Simplify π‘₯ Γ— π‘₯ π‘₯ Γ— π‘₯ 1 2 8 1 1 , where π‘₯ β‰  0 .

  • A π‘₯ 3 0
  • B π‘₯ 8 5
  • C π‘₯ 9
  • D π‘₯ 8

Q2:

Simplify 1 6 π‘Ž 8 π‘Ž 6 βˆ’ 9 , leaving your answer in exponential form.

  • A 2 π‘Ž βˆ’ 5 4
  • B 2 π‘Ž βˆ’ 3
  • C 1 2 π‘Ž 1 5
  • D 2 π‘Ž 1 5
  • E 1 2 π‘Ž βˆ’ 3

Q3:

Simplify ο€Ό 2 9 π‘Ž 𝑏  βˆ’ 6 2 2 .

  • A 2 9 π‘Ž 𝑏 βˆ’ 8 4
  • B 4 8 1 π‘Ž 𝑏 βˆ’ 8 4
  • C 2 9 π‘Ž 𝑏 βˆ’ 1 2 4
  • D 4 8 1 π‘Ž 𝑏 βˆ’ 1 2 4
  • E 4 8 1 π‘Ž 𝑏 βˆ’ 4 4

Q4:

Simplify ο€Ό 1 3 π‘Ž 𝑏  βˆ’ 9 9 4 .

  • A 1 3 π‘Ž 𝑏 βˆ’ 1 3 1 3
  • B 1 8 1 π‘Ž 𝑏 βˆ’ 1 3 1 3
  • C 1 3 π‘Ž 𝑏 βˆ’ 3 6 3 6
  • D 1 8 1 π‘Ž 𝑏 βˆ’ 3 6 3 6
  • E 1 8 1 π‘Ž 𝑏 βˆ’ 5 1 3

Q5:

Given that 𝐴 𝐷 = ο€Ή π‘₯ 𝑦  4 3 2 c m and 𝐢 𝐡 = ο€Ή 6 π‘₯ 𝑦  4 2 c m , determine, in its simplest form, the algebraic expression that represents the area of triangle 𝐴 𝐡 𝐢 .

  • A 1 8 π‘₯ 𝑦 5 7
  • B 3 π‘₯ 𝑦 1 0 1 4
  • C 3 π‘₯ 𝑦 5 7
  • D 1 8 π‘₯ 𝑦 1 0 1 4
  • E 1 2 π‘₯ 𝑦 1 0 1 4

Q6:

Complete the following: βˆ’ 6 4 𝑏 = ( ) βˆ’ 6 3 .

  • A βˆ’ 4 𝑏 βˆ’ 9
  • B 4 𝑏 βˆ’ 2
  • C 4 𝑏 βˆ’ 9
  • D βˆ’ 4 𝑏 βˆ’ 2
  • E βˆ’ 1 6 𝑏 βˆ’ 2