APPLYING INTEGER OPERATIONS WORKSHEET

Problem 1 :

Evaluate : 

3 + 6 x (5 + 4) ÷ 3 -7

Problem 2 :

Evaluate : 

36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Problem 3 : 

Hannah made four withdrawals of $20 from her checking account. She also wrote a check for $215. By how much did the amount in her checking account change ?

Problem 4 : 

Reggie lost 3 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 200 points. By how much did his score change?

Detailed Answer Key

Problem 1 :

Evaluate : 

3 + 6 x (5 + 4) ÷ 3 -7

Solution :

Problem 2 :

Evaluate : 

36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Solution :

Problem 3 : 

Hannah made four withdrawals of $20 from her checking account. She also wrote a check for $215. By how much did the amount in her checking account change ?

Solution : 

Analyze Information : 

We have to find the total change in Hannah’s account. Since withdrawals and writing a check represent a decrease in her account, use negative numbers to represent these amounts.

Formulate a Plan : 

Write a product to represent the four withdrawals.

-20 + (-20) + (-20) + (-20)  =  4(-20)

Add -215 to represent the check that Hannah wrote.

4(-20) + (-215)

Solve :

Evaluate the expression to find by how much the amount in the account changed.

4(-20) - 215  =  -80 - 215 (Multiply first)

=  -295 (Then, subtract)

The amount in the account decreased by $295.

Justify and Evaluate :

The value -295 represents a decrease of 295 dollars. This makes sense, since withdrawals and writing checks remove money from the checking account.

Problem 4 : 

Reggie lost 3 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 200 points. By how much did his score change?

Solution : 

Analyze Information : 

We have to find the total change in Reggie's score. Since the lost represents a decrease in his score, use negative numbers to represent the points he lost.

Formulate a Plan : 

Write a product to represent the lost of 3 spaceships.

-30 + (-30) + (-30)  =  3(-30)

Add 200 to represent the bonus

3(-30) + 200

Solve :

Evaluate the expression to find by how much his score changed.

3(-30) + 200  =  -90 + 200 (Multiply first)

=  110 (Then, add)

The points in his score increased by 110.

Justify and Evaluate :

The value 110 represents a increase 110 points in the score. Even though he lost 3 spaceships, finally he got a bonus of 200 points. So, this makes sense.   

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