# Algebra Problems

Sub Topics

In this section of algebra problems ,we study the problems based on quadratic equations, linear equations,matrices, algebraic expressions, sets, functions. All these topics deals thoroughly with all the types of basic and advanced problems in algebra with the statement problems also included.

## How to Solve Algebra Problems

If we are given a problem we can analyze that and solve it using the required steps, for example if  I consider a problem such as  x2- 8x +16  and asked to find the roots of this equation.Then the step by step process can be evolved.

Step 1: Sum is -8 and product is 16

Step 2: Find the combination of roots by factorizing 16.

Step 3: The roots are -4 and -4

Step 4: x2- 4x - 4x + 16

Step 5: x(x - 4) - 4 (x - 4)

Step 6: (x - 4)(x - 4)

## Solve Algebra Problems

Below you could see algebra problems

### Solved Examples

Question 1: Solve: 2a + 4 = 12
Solution:
Given: 2a + 4 = 12

Take -4 on both the sides

2a + 4 - 4 = 12 - 4

2a = 8

Divide by 2 on both the sides

$\frac{2a}{2}$ = $\frac{8}{2}$

a = 4

Question 2: Solve: 3x - 9 = 27
Solution:
Given: 3x - 9 = 27

Take +9 on both the sides

3x - 9 + 9 = 27 + 9

3x = 36

Divide by 3 on both sides

$\frac{3x}{3}$ = $\frac{36}{3}$

x = 12

## Practice Algebra Problems

Below you could see algebra practice problems

### Practice Problems

Question 1: Solve: 5m + 15 = 30
Question 2: Solve: 6p - 18 = 12