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Help Grasping Algebra

Introduction to help grasping algebra:    

Algebra is a branch of the mathematics used to construct the mathematical model of the real-world situations . Algebra includes real numbers, complex numbers, linear equations, vectors etc. In algebra, we are often using the letters for represents the an unknown or variable. In this article we shall discuss about help grasping algebra.


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Sample problem for help grasping algebra:


Grasping algebra help problem 1:

Theaverage of a list of 5 numbers is 20. If we are reducing a one of the numbers, the average value of the remaining numbers is 27. What is the number that was removed?

Solution:

Step 1: The removed number was might be obtained by the difference between the sum of original 5 numbers and the sum of remaining 4 numbers i.e.

Sum of original 5 numbers – sum of remaining 4 numbers

Step 2: Using the formula

Sum of Terms="Average*number" of Terms

Sum of original 5 numbers = 20 × 5 = 100
sum of remaining 18 numbers = 27× 4 = 108

Step 3: Using the formula from step 1 we get

Number removed = sum of the original 5 numbers – sum of remaining 18 numbers

100 – 108 = -8

Answer: The number removed is -8.


Between, if you have problem on these topics Simplify Algebraic Expressions , please browse expert math related websites for more help on  Implicit Differentiation Rules.


Grasping algebra help problem 2:

Solving the given algebraic expression equation and find the value15 + 9(4 + 3)² − 17

Solution:

 We have to calculate the values, which is the stand for, we will substitute 4 + 3 with 7:

= 15 + 9 * 7² − 17

Since there is now a just one number, 7, it is not necessary to write parentheses.

Next, evaluate the exponents:

= 15 + 9 * 49 − 17                                                                                             

Now multiply the exponent’s values                                                                    

= 15 + 441 − 17

Finally, add or subtract, it will not matter.  If we add first:

= 456 − 17

 = 439.


Practice problem for help grasping algebra:


  • Solve the given algebraic equation 3 + 4(2 + 3)² − 4

            Answer: 99

  • Solve the given algebraic expression 4 + 2(3 + 4)² − 6

            Answer: 106