Introduction to easy algebra solver:
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorial, and number theory, Algebra is one of the main branches of pure mathematics.
Source: From Wikipedia.
Please express your views of this topic College Algebra Solver by commenting on blog.
Example problems for easy algebra solver:
Some example problems are solved with solution for easy algebra solver.
Example 1:
Determine the x intercept of the equation.
4x - 7y = 12
Solution:
Given the equation
4x - 7y = 12
To find the x intercept we set y = 0 and solve for x.
4x - 0 = 12
Solve for x.
x = 12 / 4
x = 3
The x intercept is at the point (3, 0).
Example 2:
Evaluate f (3) - f (2)
f(x) = 6x + 3
Solution:
Given the function
f(x) = 6x + 3
f (3) - f (2) is given by.
f(3) = (6(3) + 3) = 18 + 3 = 21
f(2) = (6(2) + 3) = 12 + 3 = 15
f (3) - f(2) = (21) - (15) = 6
Solution to the given function is f(3) - f(2) = 6
Example 3:
Find the slope of the line or gradient passing through the points
(-5, -5) and (7, 7).
Solution:
Given the points (-5, -5) and (7, 7), the slope m is given by
m = (y2 - y1) / (x2 - x1)
= (7 – (-5)) / (7 – (-5))
= 12 / 12
= 1
m = 1
Solution to the given slope of the line m = 1.
Example 4:
Find the slope of the line
12x - 8y = 18
Solution:
Given slope of the line
12x - 8y = 18
Write the above equation in the form of slope intercept y = mx + b and identify the value of m the slope.
-8y = -12x + 18 both side can be divided by -8
-8y/-8 = -12x/-8 + 18/-8
y = 3/4x - 9/4
The slope is given by the coefficient of x which is 3/ 4.
Slope = 3/ 4
Example 5:
Solve x for the following linear equation 7x - 3 = 144
Solution:
Add by 3 on both sides, we get
7x - 3 + 3 = 144 + 3
Simplify both sides:
7x = 147
Divided by both sides on 7:
7x/7 = 147/7
Simplify both sides:
x = 21.
Solution to the linear equation is x = 21.
Easy algebra solver practice problems:
Practice problems for easy algebra solver are given below.
1) Determine the x intercept of the equation.
8x - 12y = 24
Answer: The x intercept is at the point (3, 0)
2) Evaluate f (4) - f (3)
f(x) = 8x + 7
Answer: f(4) – f(3) = 8
3) Find the slope of the line or gradient passing through the points
(-6, -8) and (10, 12).
Answer: m = 4/ 5
4) Find the slope of the line
15x - 4y = 25
Answer: slope = 15/4
5). Solve x for the following linear equation 8x – 9 = 87
Answer: Solution to the linear equation is x = 12
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorial, and number theory, Algebra is one of the main branches of pure mathematics.
Source: From Wikipedia.
Please express your views of this topic College Algebra Solver by commenting on blog.
Example problems for easy algebra solver:
Some example problems are solved with solution for easy algebra solver.
Example 1:
Determine the x intercept of the equation.
4x - 7y = 12
Solution:
Given the equation
4x - 7y = 12
To find the x intercept we set y = 0 and solve for x.
4x - 0 = 12
Solve for x.
x = 12 / 4
x = 3
The x intercept is at the point (3, 0).
Example 2:
Evaluate f (3) - f (2)
f(x) = 6x + 3
Solution:
Given the function
f(x) = 6x + 3
f (3) - f (2) is given by.
f(3) = (6(3) + 3) = 18 + 3 = 21
f(2) = (6(2) + 3) = 12 + 3 = 15
f (3) - f(2) = (21) - (15) = 6
Solution to the given function is f(3) - f(2) = 6
Example 3:
Find the slope of the line or gradient passing through the points
(-5, -5) and (7, 7).
Solution:
Given the points (-5, -5) and (7, 7), the slope m is given by
m = (y2 - y1) / (x2 - x1)
= (7 – (-5)) / (7 – (-5))
= 12 / 12
= 1
m = 1
Solution to the given slope of the line m = 1.
Example 4:
Find the slope of the line
12x - 8y = 18
Solution:
Given slope of the line
12x - 8y = 18
Write the above equation in the form of slope intercept y = mx + b and identify the value of m the slope.
-8y = -12x + 18 both side can be divided by -8
-8y/-8 = -12x/-8 + 18/-8
y = 3/4x - 9/4
The slope is given by the coefficient of x which is 3/ 4.
Slope = 3/ 4
Example 5:
Solve x for the following linear equation 7x - 3 = 144
Solution:
Add by 3 on both sides, we get
7x - 3 + 3 = 144 + 3
Simplify both sides:
7x = 147
Divided by both sides on 7:
7x/7 = 147/7
Simplify both sides:
x = 21.
Solution to the linear equation is x = 21.
Easy algebra solver practice problems:
Practice problems for easy algebra solver are given below.
1) Determine the x intercept of the equation.
8x - 12y = 24
Answer: The x intercept is at the point (3, 0)
2) Evaluate f (4) - f (3)
f(x) = 8x + 7
Answer: f(4) – f(3) = 8
3) Find the slope of the line or gradient passing through the points
(-6, -8) and (10, 12).
Answer: m = 4/ 5
4) Find the slope of the line
15x - 4y = 25
Answer: slope = 15/4
5). Solve x for the following linear equation 8x – 9 = 87
Answer: Solution to the linear equation is x = 12
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