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Worksheet: Solving Equations Mentally

Q1:

Solve for π‘₯ π‘₯ βˆ’ 8 = 6 : .

Q2:

If π‘₯ βˆ’ 2 = 9 , what is the value of π‘₯ ?

Q3:

Find the value of π‘₯ in the equation 1 7 βˆ’ π‘₯ = 1 3 .

Q4:

If 5 𝑦 + 1 = 6 , what is the value of 2 𝑦 ?

Q5:

Is the equation true or false if π‘₯ = 3 ?

  • Atrue
  • Bfalse

Q6:

Is the equation true or false if π‘š = 1 1 4 ?

  • Atrue
  • Bfalse

Q7:

Is the equation true or false if 𝑝 = 6 0 ?

  • Afalse
  • Btrue

Q8:

In 2016, Mississippi and Georgia had a total of 21 electoral votes. If Mississippi had 6 electoral votes, solve the equation 6 + 𝑔 = 2 1 to find the number of electoral votes Georgia had 𝑔 .

Q9:

The equation β„Ž = 4 𝑑 describes the number of hours, β„Ž , that Olivia studies in 𝑑 days. How many hours does Olivia spend studying in 5 days?

Q10:

This year, 558 people attended the school play. Last year, 609 people attended the same play. Victoria believes the equation 5 5 8 = 6 0 9 βˆ’ π‘Ž shows the decrease in the number of attendants from one year to the next, while Olivia believes the equation should be 5 5 8 + 6 0 9 = π‘Ž instead. Which student is correct? How many fewer people attended the concert this year?

  • AVictoria, 41
  • BOlivia, 51
  • COlivia, 41
  • DVictoria, 51
  • EVictoria, 151

Q11:

The equation 𝑑 = 9 𝑐 describes the total cost of buying packets of trading cards. The variable 𝑐 denotes the number of packs bought, and the variable 𝑑 represents the total cost in dollars. How much will Michael pay for 5 packs of cards?