Solve Algebra Practice Exams

Solve Algebra Practice-Exams:

Algebra is one of the main branches of arithmetic. It explains the interaction and properties of quantity by means of letters and other signs. The basic algebra has the following subtopics are

Variables,
Expressions,
Terms,
Polynomials,
Equations
There is some solve algebra problems listed below for the exam practice:


Solve Algebra Practice for Exams- Example 1:


Solve for x: 5 x - 6 = 3 x – 10

Solution:

Subtract 3x from both sides of the equation

5x – 3x – 6 = 3x – 3x – 10

2x – 6 = - 10

Add 6 to both sides of the equation

2x – 6 + 6 = - 10 + 6

2x = - 4

Divided by 2 both side of the equation

x = - 2

The answer x is – 2

Solve Algebra Practice for Exams- Example 2:

Solve for x: 4x - 6 = 12x – 40

Solution:

4x - 6 = 12x – 40

Subtract 4x from both sides of the equation:

4x – 4x – 6 = 12x – 4x – 40

– 6 = 8x – 40

Add 40 to both sides of the equation

– 6 + 40 = 8x – 40 + 40

36 = 8x

Divided by 8 both side of the equation

x = 4.5

The answer x is 4.5.

Solve Algebra Practice - Example 3:

Solve the equation: 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Solution:

Given the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Multiply factors

-15x - 10 - x + 3 = -16x - 20 +13

Group like terms

-16x - 7 = -16x - 7

Add 7 on both sides

−16x = − 16x

Here both sides are equal so x will have infinite number of solutions.

Solve Algebra Practice - Example 4:

Simplify the expression

2(a -3) + 4b - 2(a -b -3) + 5

Solution:

Given the algebraic expression

2(a -3) + 4b - 2(a -b -3) + 5

Multiply factors

= 2a - 6 + 4b -2a + 2b + 6 + 5

Group like terms

= 6b + 5

Solve Algebra Practice - Example 5:

Solve for x: 5x - 6 = 12x – 50

Solution:

4x - 6 = 12x – 50

Subtract 5x from both sides of the equation:

5x – 5x – 6 = 12x – 5x – 50

– 6 = 8x – 50

Add 50 to both sides of the equation

– 6 + 50 = 8x – 50 + 50

44 = 8x

Divided by 8 both side of the equation

x = 5.5

The answer x is 5.5.