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In today’s Mathematics class, We will be discussing Change of Subject of Formula. We hope you enjoy the class!
CHANGE OF SUBJECT OF FORMULA
A formula is a general equation involving two or more unknowns. An example is the formula a = ¶r2 which gives the area of the circle in terms of its radius r. In this formula, a is called the subject of the formula.
Simplifying a formula by substitution
- Given mx+c=y, express x in terms of m, c, and y. Find the value of x if y=10, c=2 and m is 4
1) mx+c= y, mx=y-c
To find the value of X, when y= 10 , m=4and c=2
Evaluation: If I= PRT
- Make p the subject and find the value of p if I = 10, R= 4, and T= 5.
CHANGING THE SUBJECT OF A FORMULA
When a variable which forms a part of the formula is made subject, we say we have changed the subject of the formula.
- In the formula S=2¶r(r+h), make h the subject.
- Make m the subject if
S=2¶r 2 +2¶rh
S- 2¶r 2 =2¶rh
Cross multiply: FT =mv-mu
- Make r the subject if V =¶r 2h
- Make u the subject if 1/f =1/v + 1/u
- Exam focus for J.S.C.E Pg. 212 -216
- Essential Maths for J.S.S.3 Pg. 47-54
- Express a in terms of u, v, and t in v= u+at
- (a) a = vu-t
- (b) a= v-u
- (c) a =
- If Z=2p +3, find the value of Z when p=1. (a) Z=2, (b) Z= 5, (c) Z =7
- In the relation X =
, how would you write m in terms of x and y?
(a) m=x-6 (b) m = 6x -6y (c) m =6x +6y
- Express n in terms of s, a, and L if
- Make U the subject if V2 = U2 +2as.
(a) U= V 2 -2as (b) U = (V 2 -2as) 2 (c) V2 – 2a
- Given L = arn-1, make a the subject of the formula.
- If S +
, make t the subject of the formula. Find the value of t if S=1, d= 2.
We have come to the end of this class. We do hope you enjoyed the class?
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In our next class, we will be talking about Measure of Central Tendency. We are very much eager to meet you there.
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