Free Algebra Answers

Introduction for learning free algebra answers:

Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. The Algebra executes the four basic operations such as addition, subtraction, multiplication and division. The most important terms for learning free algebra answers are variables, constant, coefficients, exponents, terms and expressions. In Algebra, besides numerals we use symbols and alphabets in place of unknown numbers to make a statement. Hence, Learning free algebra answers may be regarded as an extension of Arithmetic.

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Order of the operation for learning free algebra answers:


1. First, we have to evaluate the expressions within the parenthesis.

2. Next,  we have to evaluate the exponents.

3. Next, we have to evaluate the multiplication or division operations.

4. Finally, we have to evaluate the addition or subtraction operations.


Examples for learning free algebra answers:


Example 1:

3(a-2) + 10 = 0

Solution:

3(a-2) + 10 = 0

3a – 6 + 10 = 0

3a + 4 = 0

3a + 4 - 4= 0 – 4 (Add -4 on both sides)

3a = -4

3a / 3 = -4 / 3 (both sides divided by3)

A = -4 /3

Example 2:

5x - 10 = 15x - 20

Solution:

5x - 10 = 15x - 20

5x - 10 + 10= 15x – 20 + 10    (Add 10 on both sides)

5x =15x -10

5x – 15x =15x -15x  - 10 (Add  -15x on both sides)

-10x = -10

-10x / 10 = -10 / 10 (both sides divided by 10)

-x = - 1 which is equal to x=1

Example 3:

10x + 20 = 30

Solution

10x + 20 = 30

10x + 20 - 20 = 30 - 20 (Add -20 on both sides)

10x = 10

10x / 10 = 10 / 10 (both sides divided by 10)

x = 1

Example 4:

Solve the equation   |-25x + 50| -75 = -100

Solution:

|-25x + 50| -75 = -100

|-25x + 50| -75 + 75= -100 + 75(Add 75 on both sides)

|-25x + 50| = -25

|-25x + 50| is same as -25x + 50, now solve for x

-25x + 50= -25

-25x + 50= -25 - 50 (add -50 on both sides)

-25x=-75

-25x /- 25 = -75 / -25 (both sides divided by -25)

x = 1

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Practice problem for learning free algebra answers:


1. 4(x-6) + 15 = 1

Answer: x=2.5

2. 3x - 7 = 15x – 8

Answer: x=0.1

3. 2x + 8 = 3

Answer: x=-2.5