Introduction to algebra rules made easy:
As we all know that, algebra consists of constants and variables. There are certain rules and principles for solving algebra problems. Algebra rules really made easy for solving tough algebra problems. Algebra is classified into two categories; they are i) ancient algebra and ii) Modern algebra. There are certain rules to be followed in algebra. These rules are used to solve the problems in algebra. In this article, we are going to see about algebra rules made easy.
I like to share this solving algebra word problems with you all through my article.
Rules for solving algebra:
The rules for solving algebra is listed below, these rules made easy for solving algebra problems,
Rule 1: All the like terms have to be added/subtracted together on both sides of the given equation.
Rule 2: When there is a multiplication/division operation is to be performed for an equation, then it should be done on both sides.
Rule 3: Change of sign or symbols is applicable in inequalities.
Rule 4: In absolute value, negative sign is altered to positive. Positive value will always remains positive. Negative symbol only changes.
Rule 5: While adding/subtracting polynomials, same degree polynomial is to be added/subtracted in the given problem.
Rule 6: In word problems, translation of word to algebraic expressions is to be done.
Example problems on algebra rules made easy:
Example 1:
Write the equation in slope intercept form,
5y – 4x + 8 = 12
Solution:
Add 4x on both sides,
5y – 4x + 4x + 8 = 12 + 4x
5y + 8 = 4x + 12
Subtract 8 on both sides,
5y + 8 – 8 = 4x + 12 – 8
5y = 4x + 4
Divide 5 on both sides,
5y/y = 4x/5 + 4/5
y = 0.8x + 0.8
The answer is y = 0.8x + 0.8
Example 2:
Solve: (4x ^2 + 9x – 7) + (2x ^2 – 4x + 6)
Solution:
In this problem, we have to add the like terms,
= 4x ^2 + 9x – 7 + 2x ^2 – 4x + 6
= 6x ^2 + 5x - 1
The answer is 6x ^2 + 5x -1.
Understanding math word problems algebra is always challenging for me but thanks to all math help websites to help me out.
Example 3:
Solve 2x + 4 > 10.
Solution:
2x + 4 > 10
Subtract 4 on both sides,
2x + 4 – 4 > 10 – 4
2x > 6
Divide 2 on both sides,
2x/2 > 6/2
x > 3
The answer is x > 3.
As we all know that, algebra consists of constants and variables. There are certain rules and principles for solving algebra problems. Algebra rules really made easy for solving tough algebra problems. Algebra is classified into two categories; they are i) ancient algebra and ii) Modern algebra. There are certain rules to be followed in algebra. These rules are used to solve the problems in algebra. In this article, we are going to see about algebra rules made easy.
I like to share this solving algebra word problems with you all through my article.
Rules for solving algebra:
The rules for solving algebra is listed below, these rules made easy for solving algebra problems,
Rule 1: All the like terms have to be added/subtracted together on both sides of the given equation.
Rule 2: When there is a multiplication/division operation is to be performed for an equation, then it should be done on both sides.
Rule 3: Change of sign or symbols is applicable in inequalities.
Rule 4: In absolute value, negative sign is altered to positive. Positive value will always remains positive. Negative symbol only changes.
Rule 5: While adding/subtracting polynomials, same degree polynomial is to be added/subtracted in the given problem.
Rule 6: In word problems, translation of word to algebraic expressions is to be done.
Example problems on algebra rules made easy:
Example 1:
Write the equation in slope intercept form,
5y – 4x + 8 = 12
Solution:
Add 4x on both sides,
5y – 4x + 4x + 8 = 12 + 4x
5y + 8 = 4x + 12
Subtract 8 on both sides,
5y + 8 – 8 = 4x + 12 – 8
5y = 4x + 4
Divide 5 on both sides,
5y/y = 4x/5 + 4/5
y = 0.8x + 0.8
The answer is y = 0.8x + 0.8
Example 2:
Solve: (4x ^2 + 9x – 7) + (2x ^2 – 4x + 6)
Solution:
In this problem, we have to add the like terms,
= 4x ^2 + 9x – 7 + 2x ^2 – 4x + 6
= 6x ^2 + 5x - 1
The answer is 6x ^2 + 5x -1.
Understanding math word problems algebra is always challenging for me but thanks to all math help websites to help me out.
Example 3:
Solve 2x + 4 > 10.
Solution:
2x + 4 > 10
Subtract 4 on both sides,
2x + 4 – 4 > 10 – 4
2x > 6
Divide 2 on both sides,
2x/2 > 6/2
x > 3
The answer is x > 3.
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