Question

(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 1

(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
3	5 × 3 = 15
4	5 × 4 = 20
5	5 × 5 = 25
6	5 × 6 = 30
7	5 × 7 = 35
8	5 × 8 = 40
9	5 × 9 = 45
10	5 × 10 = 50
11	5 ×11 = 55

By inspection, we can find that t = 7 is the solution of the above equation as for t = 7, 5t = 5 × 7 = 35

(c) For , the table can be constructed as follows.

z
8
9
10
11
12
13
14
15
16

By inspection, we can find that z = 12 is the solution of the above equation as for z = 12, = 4

(d) For m − 7, the table can be constructed as follows.

m	m − 7
5	5 − 7 = − 2
6	6 − 7 = − 1
7	7 − 7 = 0
8	8 − 7 = 1
9	9 − 7 = 2
10	10 − 7 = 3
11	11 − 7 = 4
12	12 − 7 = 5
13	13 − 7 = 6

By inspection, we can find that m = 10 is the solution of the above equation as for m = 10, m − 7 = 10 − 7 = 3