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Algebra

Question 4:

(a) Complete the table and by inspection of the table, find the solution to the equation m + 10 = 16.

m

1

2

3

4

5

6

7

8

9

10

m + 10

(b) Complete the table and by inspection of the table, find the solution to the equation 5t = 35.

t

3

4

5

6

7

8

9

10

11

5t

(c) Complete the table and find the solution of the equation z/3 = 4 using the table.

z

8

9

10

11

12

13

14

15

16

...

3

(d) Complete the table and find the solution to the equation m − 7 = 3

m

5

6

7

8

9

10

11

12

13

m − 7

Answer:

(a) For m + 10, the table can be constructed as follows.

m

m + 10

1

1 + 10 = 11

2

2 + 10 = 12

3

3 + 10 = 13

4

4 + 10 = 14

5

5 + 10 = 15

6

6 + 10 = 16

7

7 + 10 = 17

8

8 + 10 = 18

9

9 + 10 = 19

10

10 + 10 = 20

By inspection, we can find that m = 6 is the solution of the above equation as for m = 6, m + 10 = 6 + 10 = 16

(b) For 5t, the table can be constructed as follows.

t

5t

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