The Domain of an Algebraic Expression - Examples, Exercises and Solutions

An algebraic expression is a combination of constant numbers (or 'integers'), unknown variables represented by letters, and basic operations. When we assign numerical values to each of the unknown variables, we can reduce the expression to a numerical value.

For example:

If we take the algebraic expression $X+5$ and assign the variable $X$ a value equal to $3$, then the value of the algebraic expression will be $8$.

• Algebraic expression:
$X+5$
• Algebraic expression after having given the variable $X$ a value of $3$:
$5+3$
• Therefore, the value (result) of the algebraic expression is $8$:
$5+3=8$

If the same variable appears several times in an algebraic expression, each has the same numerical value.

examples with solutions for the domain of an algebraic expression

Exercise #1

What will be the result of this algebraic expression:

$8a-b(7+a)$

if we place

$a=50,b=0$

Step-by-Step Solution

Let's present the data in an expression as given:

8*50-0(7+50) =
400-0*57 =
400-0 =
400

$400$

Exercise #2

What will be the result of this algebraic expression:

$5x-6$

if we place

$x=8$

34

Exercise #3

What will be the result of this algebraic expression:

$5x-6$

if we place

$x=0$

Video Solution

$-6$

Exercise #4

What will be the result of this algebraic expression:

$5x-6$

if we place

$x=-3$

Video Solution

$-21$

Exercise #5

What will be the result of this algebraic expression:

$5x-6$

if we place

$x=-2$

Video Solution

$-16$

Exercise #6

What will be the result of this algebraic expression:

$8a-b(7+a)$

if we place

$a=2,b=\frac{1}{3}$

Video Solution

$13$

Exercise #7

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=0,y=-1$

Video Solution

$-24$

Exercise #8

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=8,y=5$

Video Solution

$-8$

Exercise #9

What will be the result of this algebraic expression:

$8a-b(7+a)$
if we place

$a=-\frac{1}{2},b=\frac{2}{13}$

Video Solution

$-5$

Exercise #10

Calculate the perimeter of the rectangle given that $x=5$.

Video Solution

$60$

Exercise #11

Calculate the perimeter of the rectangle given that $x=2$.

Video Solution

$36$

Exercise #12

What will be the result of this algebraic expression:

$8(x-7)+4(6-2y)$

if we place

$x=7.1,y=\frac{5}{8}$

Video Solution

$19.8$