Lesson Worksheet: Equations and Inequalities Mathematics

In this worksheet, we will practice identifying and writing equations and inequalities of the first degree.


Determine which of the following represents an inequality.

  • A๐‘ฅโˆ’5
  • B๐‘ฅ=5
  • C๐‘ฅโˆ’5=8
  • D5
  • E๐‘ฅโˆ’5>8


Maged is trying to define equation.

Which of the following statements about equations is false?

  • AAn equation can have one or more unknowns.
  • BIn an equation, the equal sign (=) always comes before the unknown.
  • CAn equation can have no unknowns.
  • DAn equation always contains an equal sign (=).

Which of the following is not an equation?

  • A18=13+๐‘ฅ
  • B15รท๐‘ฅ
  • C3๐‘ฅ=15
  • D6+4=10
  • E๐‘ฆ=21รท7


Look at the equation 7=๐‘‹+3.

Which of these balance scales represents this equation?

  • A
  • B
  • C
  • D
  • E


Yara is trying to define an inequality.

Which of the following statements about inequalities is true?

  • AAn inequality must have the symbol for greater than (>) or that for less than (<).
  • BAn inequality must have an equals symbol (=).
  • CAn inequality cannot have any unknowns.
  • DAn inequality can only be used to compare two numbers.

Which of the following number sentences is not an inequality?

  • A๐‘ฅ+5<10
  • B14+๐‘ฅ=20
  • C๐‘ฆโˆ’10>2
  • D14>3๐‘ฅ
  • E20โˆ’๐‘ฆ>5


Mona is trying to identify an equation, an inequality, and an expression. Fill in the blanks in the following.

2๐‘ฅ+1=11 is an .

  • Aequation
  • Bexpression
  • Cinequality

๐‘ฆ+4<12 is an .

  • Aexpression
  • Binequality
  • Cequation

20โˆ’7๐‘ฅ is an .

  • Aequation
  • Bexpression
  • Cinequality


Identify the degree of the following equations.


  • AA second-degree equation
  • BA first-degree equation
  • CA third-degree equation


  • AA third-degree equation
  • BA first-degree equation
  • CA second-degree equation


  • AA first-degree equation
  • BA second-degree equation
  • CA third-degree equation


Mona said that 7>๐‘ฅ is an equation, but Sarah said that 7>๐‘ฅ is an inequality. Who is correct?

  • ASarah
  • BMona


Which inequality is represented by this model of a balance scale?

  • A8<2๐‘ฆ+4
  • B2๐‘ฆ+4>8
  • C8>2๐‘ฆโˆ’4
  • D2๐‘ฆ+4<8
  • E๐‘ฆ2+2<8


Samar says โ€œ๐‘ฅ is greater than 4, which means that ๐‘ฅ>4.โ€

Nabil says โ€œ๐‘ฅ is greater than 4, which means that ๐‘ฅ<4.โ€

Who is correct?

  • ASamar
  • BNabil


Write an equation to describe the following: nine more than the quotient of a number and 6 is 32.

  • A9+๐‘ฅ6=32
  • B6+๐‘ฅ9=32
  • C9โˆ’6๐‘ฅ=32
  • D9โˆ’๐‘ฅ6=32
  • E9+6๐‘ฅ=32

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

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