**Applying integer operations worksheet:**

Worksheet on applying integer operations is much useful to the students who would like to practice problems on order of operations of integers.

1. Evaluate : 3 + 6 x (5+4) ÷ 3 -7

2. Evaluate : 36 - 2(20+12÷4x3-2x2) + 10

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 ?

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?

**Problem 1 :**

Evaluate : 3 + 6 x (5+4) ÷ 3 -7

**Solution :**

**Expression**

3 + 6 x (5+4) **÷** 3 -7

**Evaluation**

= 3 + 6 x **(5+4) ****÷** 3 -7

**= **3 + **6 x 9 ****÷** 3 -7

**= **3 + **54 ****÷**** 3** -7

= **3 + 18** -7

= **21 - 7**

= **14**

**Operation**

Parenthesis

Multiplication

Division

Addition

Subtraction

**Result**

**Problem 2 :**

Evaluate : 36 - 2(20+12÷4x3-2x2) + 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.

After having gone through the stuff given above, we hope that the students would have understood "Applying integer operations worksheet".

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