Lesson Worksheet: Writing Algebraic Expressions and Equations Mathematics

In this worksheet, we will practice expressing word problems using algebraic expressions or equations.


If Kayan saved π‘₯LE and her father gave her 5 LE, how much money does she have in total?

  • A(π‘₯βˆ’5)LE
  • B(π‘₯+5)LE
  • C(5βˆ’π‘₯)LE
  • D5π‘₯LE


Write an expression for a number 𝑧 decreased by 75.

  • Aπ‘§βˆ’75
  • B75βˆ’π‘§
  • C𝑧+75
  • Dπ‘§βˆ’75𝑧
  • E75π‘§βˆ’75


Express the following as an algebraic expression: The quotient of a number 𝑀 and 5, increased by 2.

  • A𝑀5+2
  • B2𝑀+5
  • C𝑀2+5
  • D𝑀2βˆ’5
  • E𝑀5βˆ’2


Given that Fawaz is 7𝑐 years old now, write an expression for his age 5 years ago.

  • A7𝑐+5
  • B7π‘βˆ’35
  • C7𝑐+35
  • D7π‘βˆ’5
  • E35𝑐


Write an expression that represents the length of 𝐴𝐡 in the given figure.

  • A42π‘₯𝑦
  • B7π‘₯+6𝑦
  • Cπ‘₯𝑦
  • D13π‘₯𝑦


Write an expression for the number that is 3 less than a quarter of 𝑦.

  • A𝑦4βˆ’3
  • B3𝑦4βˆ’3
  • C3βˆ’π‘¦4
  • D𝑦4+3
  • E𝑦4


Write the following algebraic expression as a verbal expression: 2π‘š.

  • Atwo times π‘š
  • Btwo more than π‘š
  • Cthe square of π‘š
  • Dtwenty-π‘š


Express one-sixth of 𝑦 in algebraic form.

  • A6𝑦
  • B16𝑦
  • C𝑦+6
  • Dπ‘¦βˆ’6
  • E6𝑦+1


Express the following sentence as an algebraic expression: Kayan is five years younger than Hoor.

  • Aπ‘₯+5
  • B5βˆ’π‘₯
  • C5π‘₯
  • Dπ‘₯5
  • Eπ‘₯βˆ’5


Given that a person’s age now is π‘₯, write an expression for twice their age 10 years ago.

  • A2π‘₯βˆ’10
  • B2π‘₯βˆ’20
  • C2π‘₯+20
  • D2π‘₯+10
  • Eπ‘₯βˆ’10

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