Introductory Algebra

introductory algebra:

In intermediate algebra and in other branches of arithmetic, letters are used to represent numbers with unknown or unassigned values.

A number represented by a letter is called a literal number, and any number expression in which one or more number symbols are letter is called a literal expression.

In any number expression the parts connected by the signs + or - are called terms. An expression by either of the signs + or – consists of one terms, and is called a monomial. An expression consisting of two terms is a trinomial. In general, an expression consisting of three or more terms is called a polynomial in intermediate algebra.

Math 4th Grade

4th Grade Math :

1. 23244 = 2 · 2 · 3 · 13 · 149

= 22 · 3 · 13 · 149. (22 represents the square of 2.)
2. 625 = 5 . 5 . 5 . 5

= 54

Here, 54 represents the fourth power of the number 5.

Square foot

Square foot calculator
Triangle:

Triangle consists of base & height .So they can calculate the base & height & divide the worth with two.
(base x height )
The formula for the area of the triangle is

Let they solve an example issue for the square foot calculators

* Find the area of the triangle which consists of 16 foot & height is 8 foot.

So they assume the formula that is given in above

The area of the triangle is ( 16 X 8 ) / 2

= 128 /2

Area of a triangle = 64 square foot

The necessary calculators solution is 64 square foot.

F(x) in math

Question: What is the average rate of change of f(x) = 5x + 4 over [5, 6] ?(f x math)

A ) - 12500
B ) 3129
C ) 15629
D ) 12500

Steps to derive

1 Here f(x) = 5x + 4, x changes from a = 5 to b = 6.

2 The average rate of change of f(x) = f(b) - f(a)b - a
[Definition.]

3 = f(6) - f(5)6 - 5

4 = 15629 - 31291
[Simplify.]

5 = 12500

Scientific notation

How to do scientific notation:

Which of the following are not is scientific notation.
(a) 6.2 10 ⁵
(b) 8.574 10 ¹¹
(c) 8.0 10 ⁴
(d) 83.75 10 ⁶
(e) 0.46 10 ⁵
(f) 6.75 10 ¹
Soln: Here ‘d’ and ‘e’ are not in scientific notation form.
In (d) A = 83. But this does not lie between 1 ≤ A >
In (e) A = 0 and it doesn’t lie in 1 ≤ A <>

How to devide fractions

steps to divide fractions:

How to divide a fraction is the simplest technique to perform, it only requires multiplication. keep the first fraction as it is when two fractions are dividing and then multiply the first fraction with the reciprocal of the second fraction (i.e. invert of the second fraction).
Example: How to divide fractions 1/6 / 7/8
Keep the first fraction 1/6 as it is = 1/6
And then reciprocal the second fraction = 8/7
1/6 x 8/7 = (1 x 8)/ (6 x 7) = 8/42 = 4/21.this is after multiplying both the fractions.

Algebra word problems

11th Grade math Algebra Word Problems:

Example:

The average of a six numbers is 22. take out one of the number from the given list; the average of the left over numbers is 14. Find the number that was removed from the list?

Solution:

Step 1:

The difference between sum of left over seven numbers and the sum of eight numbers is said to be removed number that is

Sum of six number – sum of left over (remaining) 5 numbers

Step 2:

Use the formula

Sum of terms = Average value x number of terms

Sum of eight number = 22 x 6 = 132

Sum of 7 numbers = 14 x 5 = 70

Step 3:

Using the formula

The removed number = sum of 8 number – sum of left over 7 number

132 - 70= 62

Answer:

The number removed from the list is 62.