Learn simplifying Algebraic Expressions
Learn algebraic expression with variables involve the process of solving algebraic expression with different variables. Generally the main function of the algebra is to find the unknown variable value with the help of known variable value. The alphabetic letters are used to denote the variables present in the algebraic expressions and number are considered as constants. The following are the example algebraic expressions to learn.
Simplifying example expressions to learn:
Example 1:
Simplify the algebraic expressions to find the variable value.
-2(y - 3) – 4y - 1 = 3(y + 4) - y
Solution:
Given expression is
-2(y - 3) – 4y - 1 = 3(y + 4) - y
Multiplying the integer terms
-2y + 6 – 4y - 1 = 3y + 12 - y
Grouping the above terms
-6y + 5 = 2y + 12
Subtract 5 on both sides
-6y + 5 - 5 = 2y + 12 -5
Grouping the above terms
-6y = 2y + 7
Subtract 2y on both sides
-7y – 2y = 2y + 7 -2y
Simplifying the above terms
-9y = 7
Multiply` -1/9` on both sides
`y = - 7/9`
`y = - 7/9` is the solution.
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Example 2:
Simplify the algebraic expression to find the variable value.
-4(y + 3) = y + 14
Solution:
Given expression is
-4(y + 3) = y + 14
Multiplying the factors in left term
-4y - 12 = y + 14
Add 12 on both sides
-4y - 12 + 12 = y + 14 + 12
Grouping the above terms
-4y = y + 26
Subtract y on both sides
-4y - y = y + 26 -y
Simplifying the above terms
-5y = 26
Multiply `-1/5`on both sides
`y = -26/5 `
`y = -26/5 ` is the solution.
Simplifying practice expressions to learn:
1) Simplify the algebraic expression to find the variable value.
-5(y - 3) – 2y - 3 = 2(y + 1) – 3y
Answer:` y = 13/4 ` is the solution.
2) Simplify the algebraic expression to find the variable value.
-7(y - 2) – 2y - 2 = 5(y + 2) – 5y
Answer: y = 0 is the solution.
Simplifying example expressions to learn:
Example 1:
Simplify the algebraic expressions to find the variable value.
-2(y - 3) – 4y - 1 = 3(y + 4) - y
Solution:
Given expression is
-2(y - 3) – 4y - 1 = 3(y + 4) - y
Multiplying the integer terms
-2y + 6 – 4y - 1 = 3y + 12 - y
Grouping the above terms
-6y + 5 = 2y + 12
Subtract 5 on both sides
-6y + 5 - 5 = 2y + 12 -5
Grouping the above terms
-6y = 2y + 7
Subtract 2y on both sides
-7y – 2y = 2y + 7 -2y
Simplifying the above terms
-9y = 7
Multiply` -1/9` on both sides
`y = - 7/9`
`y = - 7/9` is the solution.
Between, if you have problem on these topics how to solve an algebraic expression please browse expert math related websites for more help on about neet 2013.
Example 2:
Simplify the algebraic expression to find the variable value.
-4(y + 3) = y + 14
Solution:
Given expression is
-4(y + 3) = y + 14
Multiplying the factors in left term
-4y - 12 = y + 14
Add 12 on both sides
-4y - 12 + 12 = y + 14 + 12
Grouping the above terms
-4y = y + 26
Subtract y on both sides
-4y - y = y + 26 -y
Simplifying the above terms
-5y = 26
Multiply `-1/5`on both sides
`y = -26/5 `
`y = -26/5 ` is the solution.
Simplifying practice expressions to learn:
1) Simplify the algebraic expression to find the variable value.
-5(y - 3) – 2y - 3 = 2(y + 1) – 3y
Answer:` y = 13/4 ` is the solution.
2) Simplify the algebraic expression to find the variable value.
-7(y - 2) – 2y - 2 = 5(y + 2) – 5y
Answer: y = 0 is the solution.