Introduction to Online Algebra Problems
Online Algebra Problems makes the student to interact with the online tutors and let them to clear their doubts in solving algebra problems. Online mode of solving algebra problems is one of the instant types of learning where student can solve the problem easily with the guidance of online educators. Algebra is a major part of mathematics. It substitutes letters which are said as variables instead of numbers to solve a problem.I like to share this math algebra problem solver with you all through my article.
Online Algebra Problems With Detailed Solution
Problem 1: Solve the equation, 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
Solution:
Given equation is,
5(-3x - 2) - (x - 3) = -4 (4x + 5) + 13
Multiply factors
-15x - 10 - x + 3 = -16x - 20 +13
Group like terms
-16x - 7 = -16x – 7
Add 16x + 7 to both sides and write the equation as follows
0 = 0
The above statement is true for all values of x and all real numbers are solutions to the given equation.
Problem 2: Simplify the expression, 2(a -3) + 4b - 2(a -b -3) + 5
Solution:
Given algebraic expression is,
2(a -3) + 4b - 2(a -b -3) + 5
Multiply factors
= 2a - 6 + 4b -2a + 2b + 6 + 5
Group like terms
= 6b + 5
Problem 3: Find the distance between the points (-4 , -5) and (-1 , -1).
Solution:
The distance of the points (-4 , -5) and (-1 , -1) is given by
d = √[ (- 1 - (-4)) 2 + (-1 – (-5)) 2 ]
Simplify.
d = √(9 + 16)
d = 5
Problem 4: Find the x intercept of the graph of the equation 2x - 4y = 9
Solution:
Given the equation
2x - 4y = 9
To find the x intercept we set y = 0 and solve for x.
2x - 0 = 9
Solve for x.
x = 9 / 2
The x intercept is at the point (9/2 , 0).
Understanding Adding Radicals is always challenging for me but thanks to all math help websites to help me out.
Online Algebra Problems For Practice
Problem 1: Find the slope of the line passing through the points (-1, -1) and (2 , 2).
Solution:
Slope, m = 1
Problem 2: Find the slope of the line, 5x - 5y = 7
Solution:
Slope of the line is 1.
Problem 3: Solve the equation |-2x + 2| -3 = -3
Solution:
X = 1
Online Algebra Problems makes the student to interact with the online tutors and let them to clear their doubts in solving algebra problems. Online mode of solving algebra problems is one of the instant types of learning where student can solve the problem easily with the guidance of online educators. Algebra is a major part of mathematics. It substitutes letters which are said as variables instead of numbers to solve a problem.I like to share this math algebra problem solver with you all through my article.
Online Algebra Problems With Detailed Solution
Problem 1: Solve the equation, 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
Solution:
Given equation is,
5(-3x - 2) - (x - 3) = -4 (4x + 5) + 13
Multiply factors
-15x - 10 - x + 3 = -16x - 20 +13
Group like terms
-16x - 7 = -16x – 7
Add 16x + 7 to both sides and write the equation as follows
0 = 0
The above statement is true for all values of x and all real numbers are solutions to the given equation.
Problem 2: Simplify the expression, 2(a -3) + 4b - 2(a -b -3) + 5
Solution:
Given algebraic expression is,
2(a -3) + 4b - 2(a -b -3) + 5
Multiply factors
= 2a - 6 + 4b -2a + 2b + 6 + 5
Group like terms
= 6b + 5
Problem 3: Find the distance between the points (-4 , -5) and (-1 , -1).
Solution:
The distance of the points (-4 , -5) and (-1 , -1) is given by
d = √[ (- 1 - (-4)) 2 + (-1 – (-5)) 2 ]
Simplify.
d = √(9 + 16)
d = 5
Problem 4: Find the x intercept of the graph of the equation 2x - 4y = 9
Solution:
Given the equation
2x - 4y = 9
To find the x intercept we set y = 0 and solve for x.
2x - 0 = 9
Solve for x.
x = 9 / 2
The x intercept is at the point (9/2 , 0).
Understanding Adding Radicals is always challenging for me but thanks to all math help websites to help me out.
Online Algebra Problems For Practice
Problem 1: Find the slope of the line passing through the points (-1, -1) and (2 , 2).
Solution:
Slope, m = 1
Problem 2: Find the slope of the line, 5x - 5y = 7
Solution:
Slope of the line is 1.
Problem 3: Solve the equation |-2x + 2| -3 = -3
Solution:
X = 1
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