Lesson Worksheet: Dividing Integers Mathematics • 7th Grade

In this worksheet, we will practice dividing one- or two-digit integers and applying this to real-life situations.

Q1:

Complete: ÷8=35÷7.

Q2:

Calculate −22÷(−11).

Q3:

Is the equation 45÷𝑑=9 true or false if 𝑑=6?

  • Afalse
  • Btrue

Q4:

What number is 𝑛 in the equation 20÷2=𝑛?

Q5:

Which of the following choices is equal to 18÷3?

  • A18÷6
  • B18÷5
  • C30÷5
  • D30÷6

Q6:

Complete the following: ÷8=4.

Q7:

Which of the following has a quotient of −8?

  • A−80÷10
  • B−80÷(−8)
  • C80÷8
  • D−80÷8
  • E80÷10

Q8:

63÷(−9)=.

Q9:

12÷(−6)=.

Q10:

On a winter day, the outside temperature was −24∘F and was rising by 6 degrees an hour. Determine the time it took for the temperature to reach 0∘F.

Q11:

Calculate −6−123.

Q12:

Evaluate −23(−10)5.

Q13:

Find the value of −36÷(−9).

Q14:

Complete: ÷−3=−6.

Q15:

Find the value of −639.

Q16:

The length of an island is changing at the rate of −10 inches per year. How long will it take for the change in the length of the island to be −440 inches?

Q17:

On a certain day, the rate of change of biscuits in a jar was −3 per hour. How long did it take the number of biscuits to reduce by 33?

Q18:

Select the situation whose answer could be the quotient of −14÷2.

  • AMichael’s average score over two games if he lost 14 points altogether
  • BThe average decrease in temperature if the temperature dropped 14∘C every hour for two hours
  • CThe number of candies Noah would have if he bought 14 and then found another 2
  • DThe amount of money Noah would have left if he had $14 and gave his friend $2
  • EBenjamin’s average score if he got 14 points over 2 quizzes

Q19:

David's sister lent him $350 in equal amounts over 7 weeks.

Write an expression to show how his sister’s bank balance changed each week.

  • A3507
  • B7350
  • C−35012
  • D−7350
  • E−3507

Evaluate the expression to find an integer representing the weekly change in her bank balance.

Q20:

A class has made a time capsule and wants to bury it at a depth of 9 feet below the ground. If the students can dig 3 feet down every hour, write an expression that represents the number of hours it would take for them to bury the time capsule.

  • A−9−3
  • B−93
  • C9−3
  • D−93
  • E−−9−3

Q21:

Calculate the following: (−3+(−3))×(−9+2)−6.

Q22:

Calculate (60÷5)×(−8)−8.

Q23:

Choose the expression that does not belong with the other three.

  • A−20÷5
  • B65÷5
  • C−18÷(−2)
  • D−30÷(−2)

Q24:

The table shows a group of friends’ answers to a question.

NameVictoriaBenjaminScarlettLiam
Result−548−548−5−485(−48)

Only one person got the answer wrong. Who was it?

  • AVictoria
  • BLiam
  • CScarlett
  • DBenjamin

Q25:

Write the sign of the expression −𝐴−𝐵 if 𝐴>0 and 𝐵>0.

  • Anegative
  • Bpositive

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