Worksheet: Solving Equations Mentally

In this worksheet, we will practice solving linear equations mentally and using that in solving problems in the real world.

Q1:

If 6 𝑥 = 5 4 , what is the value of 𝑥 3 ?

Q2:

Find the value of 𝑥 in the equation 1 7 𝑥 = 1 3 .

Q3:

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

Q4:

Is the equation true or false if 𝑥 = 3 ?

  • Atrue
  • Bfalse

Q5:

Is the equation true or false if 𝑚 = 1 1 4 ?

  • Atrue
  • Bfalse

Q6:

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

Q7:

Solve the following equation mentally: 9 𝑏 = 9 0 .

Q8:

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

Q9:

If 6 𝑥 = 4 2 , what is the value of 𝑥 ?

Q10:

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

  • AYara, 41
  • BDalia, 51
  • CDalia, 41
  • DYara, 51
  • EYara, 151

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