Thursday, February 21

Math Interactive Activity

Introduction to math interactive activity:

Interactive math activity provides the way of solving the basic math problems. This interactive activity deals with problems in calculus, pre-calculus and algebra problems with answers. All the problems are explained with step by step solutions and it provides interactive way of learning activity. Math comprises of all the topics, only certain category problems are discussed here. The following are some of the example problems which show the interactive math activity with answers. I like to share this Statistics Hypothesis Testing with you all through my article.


Math interactive activity example problems:


Example 1:

Reduce the expression

4(g -1) + 2k - 5(g -d -4) + 5

Solution:

Given algebraic expression is

4(g -1) + 2k - 5(g -d -4) + 5

Multiplying the integer terms

= 4g - 4 + 2k -5g + 5d + 20 + 5

Grouping the above terms

= -g + 7k + 21

Example 2:

Differentiate the given function and find the critical numbers.

f(a) = | a - 8 |

Solution:

The given function f has set of real numbers. Then substitute sqrt (s 2) = | s | to change function f as follows

f(a) = sqrt (s 2) , with s = a - 8

Using the chain rule, f '(a) is given by

f '(a) = (1/2) 2 s d'(z) / | s |

Since d '(a) = 1, f '(a) simplifies to

f '(a) = (a - 8) / | a - 8 |

Where f ' is undefined at a = 8 and 8 is in the domain of f. a = 8 is a critical number for the given function.

Example 3:

Determine s (4) and k(4) and s(4) / k(4) and the functions k and s is given as

s (z) = 3z - 8 and k (z) = z 2 - 12

Solution:

Calculate s(4)

s(4) = 3(4) - 8 = 4

Calculate k (4)

k (4) = 4 2 - 12
= 16 -12 = 4

s (4) / k (4) =4/4 =1

Having problem with homogeneous system of linear equations keep reading my upcoming posts, i will try to help you.

Math interactive activity practice problems:


1) Determine s (4), k (4) and s (4) / k (4) and the functions s and k is given as

s (y) = 4y - 6 and k (y) = y 2 - 20

Answer: s (4) / k (4) = -5/2

2) Reduce the algebraic equation     6(-8z - 3) - (-5z - 5) = -8(2z + 4) + 9

Answer: z = 10/27

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