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Simplifying Expressions Calculator
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An Algebraic Expression is formed using various symbols available in math. Algebraic Expression Calculator is a simplify expression calculator that simplifies a given algebraic expression. Simplifying Expressions Calculator (or Algebraic Expressions Calculator or Simplifying Calculator) takes an algebraic expression that you enter in the block and simplifies it.

Below is a given a default algebraic expression, click "Submit". It will simplify the expression by expanding and combining like terms and then reduce to simplest expression.

 

Steps for Simplifying Algebraic Expression

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Step 1 :  

 Observe the given algebraic expression.



Step 2 :  

Simplify the given equation till the last level where we can deduce the designated value.



Example Problems for Simplifying Algebraic Expression Calculator

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  1. Simplify 4x+8y-4+8x+6y+7


    Step 1 :  

    Identify all the similar terms or like terms and then group them together.



    Step 2 :  

    Here the similar terms are 4x and 8x, if you group them together it will become 12x
    .similarly if you group 8y and 6y it will become 14y and -4 and 7 will become 3.



    Answer  :  

    After simplifying the given algeraic expression, the answer is 12x+14y+3.



  2. Simplify 8b-(2b-3b+2)+7b


    Step 1 :  

    To simplify the above given algebraic expression we have to remove the brackets, Then identify the similar temrs in the expression and group them together.



    Step 2 :  

    Here after removing the brackets the expression becomes 8b-2b+3b+2+7b.Now if you group the similar terms it will become 16b-2



    Answer  :  

    we also further simplify it and can write it as 2(8b-1).



  3. On the occasion of Diwali, a finance company planned to distribute computers and laptops to their employees. If company spent 35,645 dollars on buying computers and 24,355 on buying laptops and also saved 20 % from the announced budget. What was the total amount company announced for the gifts.


    Step 1 :  

    Let the total sum be x dollars.
    Expenditure on computers and laptops is ( 35,645 + 24,355 ) = 60,000 dollars.



    Step 2 :  

    Since company saved 20 % of the total amount, it means 80 % of the total amount is equal to the 60, 000 dollars.
    This implies 80 % of x = 60,000
    Or $\frac{80}{100}$ $\times$ x = 60, 000
    By simplifying expression $\frac{80x}{100}$, we get $\frac{4x}{5}$.
    This implies  $\frac{4x}{5}$ = 60, 000
    4x = 300000
    X  = 75000



    Answer  :  

    The total amount is 75000 dollars.



  4. Criss, Diana and Mike invested in a company designing software to test internet speed. Criss invested 1000 dollars more than Diana. Mike invested 500 dollars less than amount invested by Diana. If the total sum of their investment is 2000 dollars. How much amount did Diana invest?


    Step 1 :  

    Suppose Diana invested x amount. Then Criss’s investment = 1000 + x and Mike’s investment = x – 500.



    Step 2 :  

    Since total amount = 2000
    Now (x) + (1000 + x) + (x – 500) = 2000
    3x + 500 = 2000
    3x = 1500
    X = 500



    Answer  :  

    Diana invested 500 dollars.



  5. Zenith's friend developed software to find the angles of geometrical figures. Zenith asked her friend to help her in finding the measure of each angle of a triangle given below. Find the measure of each angle in degrees.

     Triangle problem


    Step 1 :  

    In triangle, angle A =  m, angle B = m + 20 and angle C = m + 40



    Step 2 :  

    We know that the sum of angles of a triangle = 180$^o$


    So m + (m + 20) + (m + 40) = 180


    3 m + 60 = 180


    3 m = 180 – 60 = 120


    Or m = 40



    Answer  :  

    angle A = 40 degree, angle B = 40 + 20 = 60 degree and angle C = 40 + 40 = 80 degree



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