General
Objective:
1.0 Students should apply the role of algebraic techniques in solving problems in real life situation.
Specific Objectives
Students should be able to:
1.1 compute operations involving additions with symbols and numbers after worked examples from the teachers.
1.2 compute operations involving subtractions with symbols and numbers after worked examples from the teachers.
Worked examples from teachers
Example 1: Transpose 10 = u + 3 for u.
Solution:
Subtracting 3 from both
sides of the formula, we get
10 – 3 = u + 3 – 3
i.e. 10 – 3 = u
7 = u
Rewriting the formula,
we get
u = 7
Example 2: Transpose 20 = 9 + m for m.
Solution:
Subtracting 9 from both
sides of the formula, we get
20 – 9 = m + 9 – 9
i.e. 20 – 9 = m
11 = m
Rewriting the formula,
we get
m = 11
Example 3: Transpose 30 = a - 1 for a.
Solution:
Adding 1 from both sides of the formula, we get
30 + 1 = a - 1 + 1
i.e. 30 + 1 = a
31 = a
Rewriting the formula,
we get
a = 31
Example 4: Transpose 50 = z - 40 for z.
Solution:
Adding 40 from both sides of the formula, we get
50 + 40 = z - 40 + 40
i.e. 50 + 40 = z
90 = z
Rewriting the formula,
we get
z = 90
Example 5: Transpose 70 = - 50 + q for q.
Solution:
Adding 50 from both sides of the formula, we get
70 + 50 = q - 50 + 50
i.e. 70 + 50 = q
120 = q
Rewriting the formula,
we get
q = 120
Activity
Students complete these questions in your notebooks.
Exercise 1: Transpose 30 = 15 + P for P.
Exercise 2: Transpose 300 = J + 70 for J.
Exercise 3: Transpose 100 = M – 50 for M
Exercise 4: Transpose 500 = – 250 + K for K
Assignment
Students attempt all of these questions for your homework in your notebooks.
Exercise 1: Transpose 40 = 25 + C for C.
Exercise 2: Transpose 730 = D + 90 for D.
Exercise 3: Transpose 400 = S – 500 for S.
Exercise 4: Transpose 1000 = – 700 + L for L.
