Ask tutor algebra
Introduction :
The operating rules and numbers of arithmetic is the form of important branch of the arithmetic is known as ALGEBRA. Arithmetic concepts extends with algebra, so it is possible to using the rules for the operation with digit and the rule are used in manipulating the symbols of other than integers. Let us see about ask tutor algebra in given below sections.
Algebraic expressions
Let us see about ask tutor algebra,
Algebra symbols and signs are used in algebra expression.
Arabic numbers, literal digits, the signs of process are used in signs of algebraic expressions.
One number or one quantity is expression represented.
In any algebraic appearance of a math values depends on assign values to the literal digits. For illustration, the expression 4x2 - 5ay, if x = -3, a = 5 and y = 1.
Solution given below:
4x2 - 5ay = 4(-3)2 -5(5)(1)
= 4(9) - 25
= 36 - 25
= 11
Step to algebra equation:
In one step algebraic equation, by join variables and stables to we create algebraic expressions.
The fundamental methods of addition, subtraction, multiplication and division are used for combine the changeable and stables. By combine the variables and constants we get the algebraic expressions like 7x + 32, 16y – 10.
The expression 7x + 32 is obtained from the variable x, first by multiplying x by the constant 7 and then adding the constant 32 to the product.
Similarly, 16y – 10 is obtained by first multiplying y by 16 and then subtracting 10 from the product.
Look at how the following expressions are obtained:
x2, 5y 2, 5x2 – 12, xy, 7xy + 45
The expression x2 is obtained by multiplying the variable x by itself; x × x = x2
Just as 5 × 5 is written as 52, we write x × x = x2.
In the same manner, we can write x × x × x = x3 commonly, x3 is read as ‘x cubed’.
We can realize that x3 may also be read as x raised to the power 3.
x, x2, x3 ... are all algebraic expressions obtained from x.
Example Problem of ask tutor algebra
Let us see about ask tutor algebra,
Example 1:
Find X for following algebraic expression: x + 10 = 20 and x – 3 = 10.
Using basic format of algebraic expression.
Solution:
Given, X + 10 = 20
Let us subtract 10 on both sides we get,
x + 10 -10 =20 - 10
x = 10
Given, X -3 = 10
Let us add 3 on both sides, we get
x - 3 + 3 = 10 +3
x = 13
Answer: x=10 and x=13.
Example 2:
Find n for following algebraic expression: 4n = 20 and 2n + 3 = 5. Using basic format of algebraic expression.
Solution:
Given, 4n = 20
Let us divide by 4 on both sides, we get
`(4n)/4` = `20/4`
n = 5.
Given, 2n + 3 = 5
Let us subtract by 3 on both sides, we get
2n + 3 -3 = 5 - 3
2n = 2
Let us divide by 2 on both sides, we get
`( 2n)/2 = 2/2`
n = 1.
Answer: n = 5 and n = 1.
The operating rules and numbers of arithmetic is the form of important branch of the arithmetic is known as ALGEBRA. Arithmetic concepts extends with algebra, so it is possible to using the rules for the operation with digit and the rule are used in manipulating the symbols of other than integers. Let us see about ask tutor algebra in given below sections.
Algebraic expressions
Let us see about ask tutor algebra,
Algebra symbols and signs are used in algebra expression.
Arabic numbers, literal digits, the signs of process are used in signs of algebraic expressions.
One number or one quantity is expression represented.
In any algebraic appearance of a math values depends on assign values to the literal digits. For illustration, the expression 4x2 - 5ay, if x = -3, a = 5 and y = 1.
Solution given below:
4x2 - 5ay = 4(-3)2 -5(5)(1)
= 4(9) - 25
= 36 - 25
= 11
Step to algebra equation:
In one step algebraic equation, by join variables and stables to we create algebraic expressions.
The fundamental methods of addition, subtraction, multiplication and division are used for combine the changeable and stables. By combine the variables and constants we get the algebraic expressions like 7x + 32, 16y – 10.
The expression 7x + 32 is obtained from the variable x, first by multiplying x by the constant 7 and then adding the constant 32 to the product.
Similarly, 16y – 10 is obtained by first multiplying y by 16 and then subtracting 10 from the product.
Look at how the following expressions are obtained:
x2, 5y 2, 5x2 – 12, xy, 7xy + 45
The expression x2 is obtained by multiplying the variable x by itself; x × x = x2
Just as 5 × 5 is written as 52, we write x × x = x2.
In the same manner, we can write x × x × x = x3 commonly, x3 is read as ‘x cubed’.
We can realize that x3 may also be read as x raised to the power 3.
x, x2, x3 ... are all algebraic expressions obtained from x.
Example Problem of ask tutor algebra
Let us see about ask tutor algebra,
Example 1:
Find X for following algebraic expression: x + 10 = 20 and x – 3 = 10.
Using basic format of algebraic expression.
Solution:
Given, X + 10 = 20
Let us subtract 10 on both sides we get,
x + 10 -10 =20 - 10
x = 10
Given, X -3 = 10
Let us add 3 on both sides, we get
x - 3 + 3 = 10 +3
x = 13
Answer: x=10 and x=13.
Example 2:
Find n for following algebraic expression: 4n = 20 and 2n + 3 = 5. Using basic format of algebraic expression.
Solution:
Given, 4n = 20
Let us divide by 4 on both sides, we get
`(4n)/4` = `20/4`
n = 5.
Given, 2n + 3 = 5
Let us subtract by 3 on both sides, we get
2n + 3 -3 = 5 - 3
2n = 2
Let us divide by 2 on both sides, we get
`( 2n)/2 = 2/2`
n = 1.
Answer: n = 5 and n = 1.