SOLUTION 120: USING THE MULTIPLICATION AND DIVISION
PROPERTIES FOR EQUATIONS
Problem Set 1
Solve.
1. --x- = 15
3
2. --x- = 10
4
x
4. – 4 = ----–6
x
--- ⋅ 3 = 15 ⋅ 3
3
x
--- ⋅ 4 = 10 ⋅ 4
4
x
– 2 ⋅ – 4 = ------ ⋅ – 4
–4
x
– 4 ⋅ – 6 = ------ ⋅ – 6
–6
x = 45
x = 40
8 = x
24 = x
Answer: 45
5. --x- = 2
7
9.
x
3. – 2 = ----–4
Answer: 40
6. --x- = 3
5
Answer: 8
7. 5 = --x7
Answer: 24
8. 8 = --x2
x
--- ⋅ 7 = 2 ⋅ 7
7
x = 14
x
--- ⋅ 5 = 3 ⋅ 5
5
x = 15
x
5 ⋅ 7 = --- ⋅ 7
7
35 = x
x
8 ⋅ 2 = --- ⋅ 2
2
16 = x
Answer: 14
Answer: 15
Answer: 35
Answer: 16
x– 3 = ----–8
10.
x– 5 = ----–6
x
– 3 ⋅ – 8 = ------ ⋅ – 8
–8
x
– 5 ⋅ – 6 = ------ ⋅ – 6
–6
24 = x
30 = x
Answer: 24
Answer: 30
11. 2x = 6
12. 3x = 9
2x- = 6
------2
2
3x
------ = 9
--3
3
x = 3
x = 3
Answer: 3
Answer: 3
13. – 3x = – 9
14. – 2x = – 4
15. 10 = 5x
16. 15 = 3x
–-------3x- = –
-----9–3
–3
–-------2x- = –-----4–2
–2
10
5x------ = ----5
5
15
------ = 3x
-----3
3
x = 3
x = 2
2 = x
5 = x
Answer: 3
Answer: 2
Answer: 2
Answer: 5
17. – 4 = 2x
18. – 24 = 4x
19. – 28 = – 14x
20. – 18 = – 3x
–4
2x
------ = -----2
2
– 24
4x
--------- = -----4
4
– 28
– 14x
--------- = -----------– 14
– 14
– 18
– 3x
--------- = --------–3
–3
–2 = x
–6 = x
2 = x
6 = x
Answer: 2
Answer: 6
Answer: – 2
Answer: – 6
180