Algebra Practice Problems

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Algebra is a branch of mathematics. In algebraic practice problem, we can substitute letters for numbers; we can call these letters as variables. There are different types of problems that comes under Algebra and they are problems on polynomials, Exponential and logs, Functions and solving of equations and solving of inequalities etc. We know Algebra involves the relationship of both the numbers and variables. We know a variable is a symbol or a letter to write down a value.

Example 1: F (x) = x^2 + 3x – 2. Find the value of F (3) – F (2).

Solution: The given function is F (x) = x^2 + 3x – 2

 First we need to find the value of F (3), so we can plug 3 in the place of x

F (3) = 3^2 +3 (3) - 2= 9 + 9 – 2 = 16

 Next, we need to find the value of F (2), so we can plug 2 in the place of x

 F (2) =2^2 + 3 (2) – 2 = 4 + 6 – 2 = 8

 Therefore, F (3) – F (2) = 16 – 8 = 8.
 
Example 2: Solve the expression 2 (x - 3) + 4y – 2 (x – y - 3) + 5.

Solution: The given expression is 2 (x - 3) + 4y – 2 (x – y - 3) + 5.

 We can write this as

2x – 6 + 4y – 2x + 2y + 6 + 5

We can write the similar terms at one place

 = 2x – 2x + 4y + 2y – 6 + 5

= 0 + 6y – 1

= 6y – 1
 

 
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