USING ORDER OF OPERATIONS WORKSHEET

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

9. On a school trip, some pupils visited the gift shop. One bought a mug costing $8. Five bought a pencil costing $1 and five bought a box of fudge costing $3. How much was pent in total?

10. A price of a shirt is $80. The store manager gives a discount of $35. A manand his brother bought 4 shirts and then share the cost. How much do they each pay ?

11. Maria is making a snack mix. For the recipe, she needs:

• • 2/4 cup peanuts
• • 1/4 cup raisins
• • 2/4 cup chocolate chips

Maria will double the recipe. What is the total amount of peanuts, raisins, and chocolate chips will need ?

12.  Last week, Jeff read 8 pages of his book. This week, he has read 6 times as many pages as last week. How many pages has Jeff read altogether during the two weeks?

A) 14    B) 40    C) 48    D) 56

13. Kathy has a garden that is 15 feet wide and 20 feet long. She will plant 1 bulb per square foot. Each bag of bulbs contains 9 bulbs. How many bags does Kathy need to buy?

A)  34 bags  B)  33 bags  C)  12 bags    D)  11 bags

14.  A certain math club makes 35 bars of laundry soap a week and sells these at $20 each. Before the soap can be sold, the pupils found out that 6 bars were destroyed by mice. How much will be the total sale at the end of four week month ?

1. Answer :

4(x - 4)

Substitute x = 7.

= 4(7 - 4)

= 4(3)

= 12

2. Answer :

4x - 4

Substitute x = 7.

= 4(7) - 4

= 28 - 4

= 24

3. Answer :

w - x + y

Substitute w = 6, x = 5 and y = 3. 

= 6 - 5 + 3

= 1 + 3

= 4

4. Answer :

x² - x

Substitute x = 9.

= 9² - 9

= 81 - 9

= 72

5. Answer :

3x + 2y

Substitute x = 3 and y = 5.

= 3(3) + 2(5)

= 9 + 10

= 19

6. Answer :

s² + 7s - 2

Substitute s = 5.

= 5² + 7(5) - 2

= 25 + 7(5) - 2

= 60 - 2

= 58

7. Answer :

m² + 2mn²

Substitute m = 5 and n = 2.

= 5² + 2(5)(2)²

= 25 + 2(5)(4)

= 25 + 40

= 65

8. Answer :

(2m² + 5m - 7)/2

Substitute m = 3.

= [2(3)² + 5(3) - 7]/2

 = [2(9) + 5(3) - 7]/2

= [18 + 15 - 7]/2

= [33 - 7]/2

= 26/2

= 13

9. Answer :

Csot of one mug + five pencils + five box

= 8 + 5(1) + 5(3)

= 8 + 5 + 15

= 28

So, the total cost is $28.

10. Answer :

Number of shirts purchasing = 4

Discount = $35

Number of persons going to share the amount = 2

= [4(80) - 35] / 2

= [320 -  35]/2

= 285/2

= 142.5

So, the share of each person is $142.5

11. Answer :

Quantity of gorcery needed to have a snack mix = 

peanuts + raising + chocolate chips

(2/4) + (1/4) + (2/4)

= (2 + 1 + 2) / 4

= 5/4

Quantity required when doubling the recipie = 2(5/4)

= 10/4

= 5/2

=  2  1/2 cups is needed

12. Answer :

Number of pages read last week = 8 

Number of pages read this week = 6(8)

Total number of pages read in last two weeks = 8 + 6 (8)

= 8 + 48

= 56

So, the required number of pages is 56. Option D is correct.

13. Answer :

Length of the rectangular garden = 20 feet

Width of the garden = 15 feet

Area of garden = length x width

= 20 x 15

Number of bulbs in one bag = 9

Number of bulbs needed = (20 x 15)/9

= 300/9

= 33.3

So, approzximately 34 bags are needed. Option A is correct.

14. Answer :

Number of bars made = 35

Cost of each = $20

Number of bars destroyed = 6

Amount earned by the sale = (35 - 6) 20

= 29(20)

= 580

So, the required amount is $580.

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