Question 16 of 17intermediate🔧 ApplyNumerical6 marks
Add the expressions given below:
(a)
4d - 7c + 9 and 8c - 11 + 9d
Answer
13d + c - 2
(b)
-6f + 19 - 8s and -23 + 13f + 12s
Answer
7f + 4s - 4
(c)
8d - 14c + 9 and 16c - (11 + 9d)
Answer
-d + 2c - 2
(d)
6f - 20 + 8s and 23 - 13f - 12s
Answer
-7f - 4s + 3
(e)
13m - 12n and 12n - 13m
Answer
0
(f)
-26m + 24n and 26m - 24n
Answer
0
Explanation
(a) Combine like terms: (4d + 9d) + (-7c + 8c) + (9 - 11) = 13d + c - 2 (b) Combine: (-6f + 13f) + (-8s + 12s) + (19 - 23) = 7f + 4s - 4 (c) First expand: 16c - 11 - 9d. Then combine: (8d - 9d) + (-14c + 16c) + (9 - 11) = -d + 2c - 2 (d) Combine: (6f - 13f) + (8s - 12s) + (-20 + 23) = -7f - 4s + 3 (e) Combine: (13m - 13m) + (-12n + 12n) = 0 (f) Combine: (-26m + 26m) + (24n - 24n) = 0