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Worksheet: Solving Equations Mentally

Q1:

Solve the equation .

  • A
  • B
  • C
  • D

Q2:

Solve for .

Q3:

Solve the equation .

  • A
  • B
  • C
  • D

Q4:

If , what is the value of ?

Q5:

If , what is the value of ?

Q6:

Find the value of in the equation .

Q7:

If , what is the value of ?

Q8:

Is the equation true or false if ?

  • Atrue
  • Bfalse

Q9:

Is the equation true or false if ?

  • Atrue
  • Bfalse

Q10:

Is the equation true or false if ?

  • Afalse
  • Btrue

Q11:

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

Q12:

The equation can be used to calculate the total number of CDs Shirley had listened to days after she started working as a music producer. How many CDs had Shirley listened to one day after she started her job?

Q13:

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

Q14:

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

  • ASally, 151
  • BHelen, 41
  • CSally, 51
  • DSally, 41
  • EHelen, 51

Q15:

The equation shows the relation between the number of socks and the number of shoes Daniel owns, where represents the number of socks, and represents the number of shoes. If Daniel has 5 socks, how many shoes does he have?

Q16:

The equation shows the number of cakes Tyler baked in relation to the number of hours he spent baking them. The variable represents the number of hours spent baking the cakes, and the variable represents the number of cakes baked. How many cakes did Tyler make if he spent 7 hours baking?

Q17:

The equation shows the total number of flowers Victoria has in relation to the number of vases she owns. The variable represents the number of vases she has, and the variable represents the total number of flowers. If Victoria has 5 vases, how many flowers does she have?

Q18:

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 Michael pay for 5 packs of cards?

Q19:

The equation shows the number of ice cream cones served by an ice cream truck in a number of hours. The variable represents the number of hours, and the variable represents the number of ice cream cones served. How many ice cream cones were served after 2 hours?