Lesson Worksheet: Equations and Inequalities Mathematics

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

Q1:

Determine which of the following represents an inequality.

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

Q2:

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

Q3:

Look at the equation 7=๐‘‹+3.

Which of these balance scales represents this equation?

  • A
  • B
  • C
  • D
  • E

Q4:

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

Q5:

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

Q6:

Identify the degree of the following equations.

2๐‘ฅรท6=5

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

20โˆ’2๐‘ฆ=1๏Šฉ

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

15=๐‘ฅโˆ’2๐‘ฅ๏Šจ

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

Q7:

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

  • ASarah
  • BMona

Q8:

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

Q9:

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

Q10:

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

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