# 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 , what is the value of ?

Q2:

Find the value of in the equation .

Q3:

If , what is the value of ?

Q4:

Is the equation true or false if ?

• Atrue
• Bfalse

Q5:

Is the equation true or false if ?

• Atrue
• Bfalse

Q6:

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

Q7:

Solve the following equation mentally: .

Q8:

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

Q9:

If , what is the value of ?

Q10:

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

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