Tuesday, September 25, 2012

Math Problems for Pre Algebra


Introduction :
Pre algebra is a branch of mathematics that is applied to make the mathematical model of the real-world situations and to handle a problems that we might not solve the problems using the simple arithmetic. Using words, algebra utilize a symbol to make statements. Algebra consist of real numbers, complex numbers, linear equations, vectors etc. In algebra, we are frequently using the letters that stands for the numbers in mathematics.  Algebra uses symbols of the arithmetic operations for adding, subtracting, dividing and multiplying. In this article we shall discuss about solve math problems for pre algebra.

Sample Problem for Solve Math Problems for Pre Algebra:

Solve math problems for pre algebra problem 1:

Solve the given math problem for pre algebra equation and find out x value of the equation 3(3x - 2) + 5 = 2(4x + 5) – 10.

Solution:

We are going to find the x value of the given pre algebra equation.

In the first we are going to multiply the term – 5 in both sides of the equation. We get

3(3x - 2) + 5 – 5 = 2(4x + 5) – 10 -5

3(3x - 2) = 2(4x + 5) - 15

In the next step grouping the same values in the above equation, we get

9x -8x = 6 + 10 – 15

x = 1

The value of the x in a given equation is 1.

Solve math problems for pre algebra problem 2:

Solve the given math problem for pre algebraic equation step by step and find the x value (5x – 6) + 8 = (6 x – 8) + 8.

Solution:

We are going to find the x value of the given pre algebra equation.

In the first we are going to multiply the value – 8 in both sides of the equation. We get

(5x – 6) + 8 – 8 = (6 x – 8) + 8 – 8

(5x – 6) = (6 x – 8)

In the next step grouping the same values in the above equation, we get

5x -6x = 6 – 8

-x = -2

x = 2

The solution of the x in a given equation is 2.

If we have any doubt in the solution means we check the answer of given problem. Substituting x = 2 in the given equation, we get

5(2) – 6 + 8 = 6(2) – 8 + 8

10 – 6 + 8 = 12 – 8 + 8

12 = 12

The left hand side and right hand side of the answers are same. So the solution is correct.

Practice Problem for Solve Math Problems for Pre Algebra:

Solve the given algebraic equation 1 + 2(1 + 4)² - 4

Answer: 47

Solve the given algebraic expression 2 + 3(1 + 4)² - 20

Answer: 57

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