Algebra For Beginners, How to do Substituting in Formulas with Algebra

This is the final stage for algebra for beginners.

This page will deal with substituting in algebra formulas, or another way to describe it is algebra manipulatives.

Now, if it wasn't bad enough using letters to manipulate math, in this instance we are going to manipulate the letters using numbers. Is it any wonder we get confused with math with all this chopping and changing?


We will do this section in a few easy steps. The main point to this exercise is to associate a number with a letter, substitute (or put in) into the equation and then solve the math.



This is best described with an example.


Example

Using a=2, b=3, c=4, d=5



Solve

a. 4b

b. ac

c. d2

d. 3a+2d



Method


Step 1 The letters are pre-numbered accordingly a=2, b=3, c=4, d=5.

Step 2 We substitue the numbers where ever we see those letters in the equations.

Step 3 We solve (or calculate) the problem.




Solution

a.

4b=4×b
From above it shows that b is 3, so substitute 3 (or replace/put in 3) instead of b

=4×3

=12



b.

ac=a×c
It is already given that c is 4, so substitute 4 into the c to give:

=2×4

=8



c.

d2=d×d
And again, d is equal to 5, so substitute 5 into d

=5×5

=25



d.

3a+2d

=3×a+2×d

look above, it shows that a is equal to 2 and d is equal to 5. So substitute those numbers in instead of the letters to give

=3×2+2×5

=6+10
=16








This is the end (or rather just the beginning) for basic algebra. Still stuck? Then post your question over in the forum



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