# USING THE ORDER OF OPERATIONS WORKSHEETS

## About "Using the order of operations worksheets"

Using the order of operations worksheets :

Worksheets on using the order of operations are much useful to the students who would like to practice problems on evaluating expressions with more than one operation.

## Using the order of operations worksheets - Problems

1. Evaluate the given expression for x = 7.

4(x - 4)

2. Evaluate the given expression for x = 7.

4x - 4

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

w - x + y

4. Evaluate the given expression for x = 9.

x² - x

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

3x + 2y

6. Evaluate the given expression for s = 5.

s² + 7s - 2

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

m² + 2mn²

8. Evaluate the given expression for m = 3.

(2m² + 5m - 7) / 2

## Using the order of operations worksheets - Solution

Problem 1 :

Evaluate the given expression for x = 7.

4(x - 4)

Solution :

Plug 7 for x

4(7 - 4)

Subtract inside the parentheses

4(3)

Multiply

12

Therefore, 4(x - 4)  =  12.

Problem 2 :

Evaluate the given expression for x = 7.

4x - 4

Solution :

Plug 7 for x

4(7) - 4

Multiply

28 - 4

Subtract

24

Therefore, 4x - 4  =  24.

Problem 3 :

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

w - x + y

Solution :

Plug 6 for w, 5 for x and 3 for y

6 - 5 + 3

Subtract 5 from 6

1 + 3

4

Therefore, w - x + y  =  4.

Problem 4 :

Evaluate the given expression for x = 9.

x² - x

Solution :

Plug 9 for each x

- 9

Evaluate exponents

81 - 9

Subtract

72

Therefore, x² - x  =  72.

Problem 5 :

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

3x + 2y

Plug 3 for x and 5 for y

3(3) + 2(5)

Multiply

9 + 10

19

Therefore, 3x + 2y  =  19

Problem 6 :

Evaluate the given expression for s = 5.

s² + 7s - 2

Plug 5 for each s

5² + 7(5) - 2

Evaluate exponents

25 + 7(5) - 2

Multiply 7 and 5

25 + 35 - 2

60 - 2

Subtract 2 from 60

58

Therefore, s² + 7s - 2  =  58

Problem 7 :

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

m² + 2mn²

Plug 5 for m and 2 for n

5² + 2(5)(2)²

Evaluate the exponents

25 + 2(5)(4)

Multiply

25 + 40

65

Problem 8 :

Evaluate the given expression for m = 3.

(2m² + 5m - 7) / 2

Plug 3 for each m

[2(3)² + 5(3) - 7] / 2

Evaluate the exponents

[2(9) + 5(3) - 7] / 2

Multiply

[18 + 15 - 7] / 2

[33 - 7] / 2

Subtract 7 from 33

26 / 2

Divide

13

Therefore, (2m² + 5m - 7)/2  =  13

After having gone through the stuff given above, we hope that the students would have understood "Using the order of operations worksheets".

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