Lesson Worksheet: The Language of Algebra Mathematics

In this worksheet, we will practice identifying variables and terms, and distinguishing between expressions, equations, formulae, and identities.

Q1:

Fill in the blank: is an equation that is always true, no matter what values are chosen.

  • AAn expression
  • BA formula
  • CAn equation
  • DAn inequality
  • EAn identity

Q2:

The area of a circle is 𝐴=𝜋𝑟. Identify whether this is an expression, an equation, an identity, a formula, or an inequality.

  • AInequality
  • BFormula
  • CExpression
  • DIdentity
  • EEquation

Q3:

Identify whether 5𝑎3=22 is an expression, an equation, an identity, a formula, or an inequality.

  • AInequality
  • BEquation
  • CIdentity
  • DExpression
  • EFormula

Q4:

Identify whether (𝑥𝑦)=𝑥2𝑥𝑦+𝑦 is an expression, an equation, an identity, a formula, or an inequality.

  • AInequality
  • BExpression
  • CIdentity
  • DEquation
  • EFormula

Q5:

Identify whether 4𝑥5𝑦 is an expression, an equation, an identity, a formula, or an inequality.

  • AInequality
  • BEquation
  • CFormula
  • DExpression
  • EIdentity

Q6:

Which of the following is considered an expression?

  • A4𝑥+3=12
  • B𝑥>1
  • C2𝑥+3=5
  • D2(𝑥+2)=2𝑥+4
  • E2𝑥+5

Q7:

Which of the following is considered a formula?

  • A4𝑥+32=5
  • B2𝑥+3=5
  • C𝑥3
  • DPerimeter of a square:𝑝=4𝐿
  • E6𝑥+3>5

Q8:

Which of the following is considered an equation but not an identity?

  • A𝑥+2=3
  • B(𝑥+𝑦)=𝑥+2𝑥𝑦+𝑦
  • C𝑥+3
  • D𝑥+(𝑥)=0
  • E2>𝑥+1>2

Q9:

A teacher asks two students whether 𝑥+0=𝑥 is an equation or an identity. Ethan says that it is an equation, while Jacob says that it is an identity. Who is correct?

  • ABoth students
  • BNeither student

Q10:

Which of the following is considered an identity?

  • A2𝑎+2
  • B2𝑎+3=5
  • C𝑎+0=𝑎
  • D𝑎+1>6
  • E2𝑎+2=3

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