To practice algebra linear equation

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Introduction :

Algebra linear equation is a mathematical expression that contains an equal sign and the linear expressions. Algebra is a Arabic word al–jabr.  In mathematics, we use letters like a, b, x and y to denote numbers. We performs addition, subtraction, multiplication, division or extraction of roots  and real numbers, we obtain what are called algebraic expressions. Symbols in an algebraic expression are called variables . An  Algebraic expression of the form axn is called a monomial in x,

Practice Algebra Linear Equation – Example

A set of common solution set of practice algebraic expression equation are said to be linear equations. A linear equations are set of variables in equation form

For example, this linear equation:  x + 1 = 4 means that when we add 1 to the unknown value, ‘x’, the answer is equal to 4.

Two variable equation: 2x+3y=6 where x and y are two variables.

Practice Algebra Linear Equation – Solved Examples

 Example 1:

Solve for x

           X+ 2 =   -3

solution:

1. Subtract 1 from both sides:

x + 2 – 1 =   -3 – 2

2. Simplify both sides:

x   =   -5

Example 2:

Solve for x

-3x   =   12

solution:

1. Divide both sides by -3:

`(-3x)/-3` =`12/-3`

2. Simplify both sides:

          x   =   -4

Example 3:

Solve for x

`x/4` =-2

solution:

1. Multiply both sides by 4:

X*4/4=-2*4

2. Simplify both sides:

x   =   -8

Example 4:

Solve for x

2 x + 2 = -18

solution:

1. Subtract 1 from both sides:

2x + 2 -2 = -18 – 2

2. Simplify both sides:

2x = -20

3. Divide both sides by 2:

2x/2=-20/2

4. Simplify both sides:

x   =   -10

Between, if you have problem on these topics system of linear equations in two variables, please browse expert math related website

Example 5:

Solve the given Equation: 8z + 50 = 4z + 62

Solution:

Given equation:    8z + 50 = 4z + 62

Subtracting both sides from 50:    8z + 50- 50 = 4z + 62 – 50

Simplification gives:        8z = 4z + 12

Subtracting both sides 4z:  8z – 4z = 4z – 4z + 12

Simplification gives:      4z = 12

Answer:    z = 3

Example 6:

         Given question is, Y = 3x +4

Solution: General equation is y = mx + b

Where m = Slope of the line

b = y- intercept

(Slope) m= 3

Y-intercept = 1

Here the values of slope (3) and intercept (1) are the prepared values from the given linear equation.

Practice Algebra Linear Equation – Practice Problems:

Problem 1:
       solve for x in (x+5)=7
Solution:
       x=-2
 
Problem 2:
      solve `x/5` +3=5
Solution:
      x= -10
Problem 3:
      solve x+3x-5=4
Solution:
       x= `9/4`
Problem 4:
      solve 2(17x+5)=2
Solution:
      x = -`5/17` .

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