Introduction to mathematics algebra:
In mathematics algebra plays a major role which deals with solving any kind of basic math problems. Algebraic operations are widely used in mathematics which is essential to solve any kind of problems. In mathematics algebraic variable are represented with the help of English alphabets and integers present in the algebraic expressions are considered as constants. In mathematics algebraic expression includes real numbers, complex numbers, matrices etc. The following are the example problems for algebra mathematics.
Algebra example problems:
Example 1: Solve the algebraic expression
2(u -3) + 4v - 2(u -v -3) + 5
Solution:
Given algebraic expression is
2(u -3) + 4v - 2(u -v -3) + 5
Multiplying the integer terms
= 2u - 6 + 4v -2u + 2v + 6 + 5
Now grouping the above terms we get
= 6v + 5 is the solution
Example 2:
Calculate the y intercept of the graph of the line equation
2x - 4y = 16
Solution:
Given equation is
2x - 4y = 16
To calculate the y intercept we set x = 0 and solve for y.
0 – 4y = 16
Solve for y.
y = - 16 / 4
Y = - 4
The y intercept is at the point (0 , - 4).
Example 3:
Evaluate f(2) - f(1) on the line, The given line function is f(u) = 6u + 1
Solution:
Given function is
f(u) = 6u + 1
f(2) - f(1) is given by.
f(2) - f(1) = (6*2 + 1) - (6*1 + 1)
f(2) - f(1) = 6
Example 4:
Find out the slope of the line that the given points (3, 4) and
(5, 8).
Solution:
Given the points are (3, 4) and (5, 8), the slope formula m is given as
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (5 - 3)
m = 4/2
m = 2
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Algebra practice problems:
The exercise problems in algebra are given below for practice.
1) Determine the distance between the points (2, 3) and (8, 11) on the line.
Answer: Distance (d) = 10
2) Evaluate f(4) - f(2) on the line, The given line function is f(u) = 4u + 2
Answer: f(4) - f(2) = 8
In mathematics algebra plays a major role which deals with solving any kind of basic math problems. Algebraic operations are widely used in mathematics which is essential to solve any kind of problems. In mathematics algebraic variable are represented with the help of English alphabets and integers present in the algebraic expressions are considered as constants. In mathematics algebraic expression includes real numbers, complex numbers, matrices etc. The following are the example problems for algebra mathematics.
Algebra example problems:
Example 1: Solve the algebraic expression
2(u -3) + 4v - 2(u -v -3) + 5
Solution:
Given algebraic expression is
2(u -3) + 4v - 2(u -v -3) + 5
Multiplying the integer terms
= 2u - 6 + 4v -2u + 2v + 6 + 5
Now grouping the above terms we get
= 6v + 5 is the solution
Example 2:
Calculate the y intercept of the graph of the line equation
2x - 4y = 16
Solution:
Given equation is
2x - 4y = 16
To calculate the y intercept we set x = 0 and solve for y.
0 – 4y = 16
Solve for y.
y = - 16 / 4
Y = - 4
The y intercept is at the point (0 , - 4).
Example 3:
Evaluate f(2) - f(1) on the line, The given line function is f(u) = 6u + 1
Solution:
Given function is
f(u) = 6u + 1
f(2) - f(1) is given by.
f(2) - f(1) = (6*2 + 1) - (6*1 + 1)
f(2) - f(1) = 6
Example 4:
Find out the slope of the line that the given points (3, 4) and
(5, 8).
Solution:
Given the points are (3, 4) and (5, 8), the slope formula m is given as
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (5 - 3)
m = 4/2
m = 2
Please express your views of this topic What is Associative Property? by commenting on blog.
Algebra practice problems:
The exercise problems in algebra are given below for practice.
1) Determine the distance between the points (2, 3) and (8, 11) on the line.
Answer: Distance (d) = 10
2) Evaluate f(4) - f(2) on the line, The given line function is f(u) = 4u + 2
Answer: f(4) - f(2) = 8
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