EVALUATING NUMERICAL EXPRESSIONS WORKSHEET

Evaluate the following numerical expressions :

1) 29 - 5 x 3

2) (14 + 12) x 3

3) 9² - 15 ÷ 3

4) 5 + 5 x (5 + 7) ÷ 4 - 6

5) -2(12 ÷ 4 x 3) + 10

6) 6 + [(16 - 4) ÷ (2² + 2)] - 2

7) (96 ÷ 12) + 14 x (12 + 8) ÷ 2

8) (93 + 15) ÷ (3 x 4) - 24 + 8

9) 55 ÷ 11 + (18 - 6) x 9

10) (7 + 18) x 3 ÷ (2 + 13) - 28

11) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay out for each week?

12)  A certain Math Club makes 35 bars of laundry soap a week and sells these at $20 each. Before the soap can all be sold, the pupils found out that 6 bars were destroyed by mice. How much will be the total sale at the end of a four-week month? Write an expression and show your work and answer.

13) Lillia scores 15 points fewer than Bob, who scores 35 points. Carol scores half as many points as Lillia. How many points does Carol score?

1. Answer :

Expression

29 - 5 x 3

2. Answer :

Expression

(14 + 12) x 3

3. Answer :

Expression

9² - 15 ÷ 3

4. Answer :

Expression

5 + 5 x (5 + 7) ÷ 4 -6

5. Answer :

Expression

-2(12 ÷ 4 x 3) + 10

6. Answer :

Expression

6 + [(16 - 4) ÷  (2² +  2)] - 2

7. Answer :

Expression

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

8. Answer :

Expression

(93 + 15) ÷ (3 x 4) - 24 + 8

9. Answer :

Expression

55 ÷ 11 + (18 - 6) x 9

10. Answer :

Expression

(7 + 18) x 3 ÷ (2 + 13) - 28

11. Answer :

Number of workers = 98

Number of workers recieving $150 per day = 10

Remaining number of workers = 98 - 10

= 88

Earning of 88 workers per day = $85.50

Number of days working = 6

By observing the informations above, we know that 

= 6[10(150) + 88 (85.50)]

= 6[1500 + 7524]

= 6[9024]

= 54144

So, the amount paid by the factory each week is $54144.

12. Answer :

Number of bars = 35

Number of soaps destroyed by mice = 6

Cost of each = $20

Total sale for a week = 20(35 - 6)

Total sale for four weeks = 4[20(35 - 6)]

So, the required expreesion is 

4[20(35 - 6)]

Evaluating this, we get

= 4[20(29)]

= 4[580]

= 2320

So, the total sale is $2320.

13. Answer :

Bob's score = 35

Lillia scores 15 points fewer, then score by Lillia = 35 - 9

Carl's score = 1/2 of (35 - 9)

So, the required numerical expression is 

= 1/2 of (35 - 9)

= 1/2 x 26

= 26/2

= 13

So, Carl's score is 13 points.

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