Question 15 of 17intermediate🔧 ApplyNumerical6 marks
Simplify the following expressions:
(a)
3a + 9b - 6 + 8a - 4b - 7a + 16
Answer
4a + 5b + 10
(b)
3(3a - 3b) - 8a - 4b - 16
Answer
a - 13b - 16
(c)
2(2x - 3) + 8x + 12
Answer
12x + 6
(d)
8x - (2x - 3) + 12
Answer
6x + 15
(e)
8h - (5 + 7h) + 9
Answer
h + 4
(f)
23 + 4(6m - 3n) - 8n - 3m - 18
Answer
5 + 21m - 20n
Explanation
(a) Combine like terms: (3a + 8a - 7a) + (9b - 4b) + (-6 + 16) = 4a + 5b + 10 (b) Expand: 9a - 9b - 8a - 4b - 16 = a - 13b - 16 (c) Expand: 4x - 6 + 8x + 12 = 12x + 6 (d) Remove brackets: 8x - 2x + 3 + 12 = 6x + 15 (e) Remove brackets: 8h - 5 - 7h + 9 = h + 4 (f) Expand: 23 + 24m - 12n - 8n - 3m - 18 = 5 + 21m - 20n