USING THE ORDER OF OPERATIONS WORKSHEET

Worksheet given in this section will be much useful for the students who would like to practice problems on using order of operations.

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Problem 1 :

Evaluate the given expression for x = 7. 

4(x - 4)

Problem 2 :

Evaluate the given expression for x = 7. 

4x - 4

Problem 3 :

Evaluate the given expression for w = 6,x = 5 and y = 3. 

w - x + y

Problem 4 :

Evaluate the given expression for x = 9. 

x² - x 

Problem 5 :

Evaluate the given expression for x = 3  and y = 5. 

3x + 2y

Problem 6 :

Evaluate the given expression for s = 5. 

s² + 7s - 2

Problem 7 :

Evaluate the given expression for m = 5  and n = 2. 

m² + 2mn²

Problem 8 : 

Evaluate the given expression for m = 3. 

(2m² + 5m - 7) / 2

Solutions

Problem 1 :

Evaluate the given expression for x = 7. 

4(x - 4)

Solution : 

Substitute 7 for x. 

4(7 - 4)

Subtract inside the parentheses. 

4(3)

Multiply 

12

So,

4(x - 4)  =  12  

Problem 2 :

Evaluate the given expression for x = 7. 

4x - 4

Solution : 

Substitute 7 for x 

4(7) - 4

Multiply  

28 - 4

Subtract 

24

So,

4x - 4  =  24

Problem 3 :

Evaluate the given expression for w = 6, x = 5 and y = 3.  

w - x + y

Solution : 

Substitute 6 for w, 5 for x and 3 for y. 

6 - 5 + 3

Subtract 5 from 6.

1 + 3

Add 1 and 3. 

4

So,

w - x + y  =  4  

Problem 4 :

Evaluate the given expression for x = 9. 

x² - x 

Solution : 

Substitute 9 for each x.  

9² - 9

Evaluate the exponent. 

81 - 9

Subtract. 

72

So, 

x² - x  =  72  

Problem 5 :

Evaluate the given expression for x = 3  and y = 5. 

3x + 2y

Solution :

Substitute 3 for x and 5 for y.

3(3) + 2(5)

Multiply.

 9 + 10

Add.

19

So,

3x + 2y  =  19

Problem 6 :

Evaluate the given expression for s = 5. 

s² + 7s - 2

Solution :

Substitute 5 for each s.

5² + 7(5) - 2

Evaluate the exponent.

25 + 7(5) - 2

Multiply 7 and 5.

25 + 35 - 2

Add 25 and 35.

60 - 2

Subtract.

So,

s² + 7s - 2  =  58

Problem 7 :

Evaluate the given expression for m = 5  and n = 2. 

m² + 2mn²

Solution :

Substitute 5 for m and 2 for n

5² + 2(5)(2)²

Evaluate the exponents.

25 + 2(5)(4)

Multiply 2, 5 and 4.

25 + 40

Add

65

So, 

m² + 2mn²  =  60

Problem 8 :

Evaluate the given expression for m = 3. 

(2m² + 5m - 7) / 2

Solution :

Substitute 3 for m. 

[2(3)² + 5(3) - 7] / 2

Evaluate the exponent.

 [2(9) + 5(3) - 7] / 2

Multiply.

[18 + 15 - 7] / 2

Add 18 and 15.

[33 - 7] / 2

Subtract 7 from 33.

26 / 2

Divide.

  13

So, 

(2m² + 5m - 7) / 2  =  13

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