The Domain of an Algebraic Expression: More than one unknown

Examples with solutions for The Domain of an Algebraic Expression: More than one unknown

Exercise #1

What will be the result of this algebraic expression:

8ab(7+a) 8a-b(7+a)

if we ascertain that:

a=50,b=0 a=50,b=0

Video Solution

Step-by-Step Solution

Let's insert the given data into the expression:

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

Answer

400 400

Exercise #2

What will be the result of this algebraic expression:

8ab(7+a) 8a-b(7+a)

if we place

a=2,b=13 a=2,b=\frac{1}{3}

Video Solution

Step-by-Step Solution

Note that we have two unknowns, a and b, and we are also given values for them,

Therefore, let's start by substituting these values in the equation instead of the unknowns:

8*2-1/3*(7+2)=

When there is a number before parentheses, it's like having a multiplication sign between them.

Let's start solving according to the order of operations, beginning with the parentheses:

8*2-1/3*(9)=

Now let's continue with multiplication and division:

16-9/3=
16-3=

‎‎‎‎‎‎‎13

And that's the solution!

Answer

13 13

Exercise #3

What will be the result of this algebraic expression:

8(x7)+4(62y) 8(x-7)+4(6-2y)

if we place

x=0,y=1 x=0,y=-1

Video Solution

Step-by-Step Solution

We have the given exercise, and it has two variables, X and Y.

In this case, we are given the values of these variables,

Therefore, what we need to do is substitute them in the relevant place in the exercise:

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

We know that x=0, so we will replace every X in the exercise with 0:

8(0-7)+4(6-2y)=
8(-7)+4(6-2y)=
-56+4(6-2y)=

We'll do the same thing with y, knowing that it equals -1

-56+4(6-2*(-1))=
-56+4(6-(-2)))=

-56+4(8)=

-56+32=

-24

And that's the solution!

Answer

24 -24

Exercise #4

What will be the result of this algebraic expression:

8(x7)+4(62y) 8(x-7)+4(6-2y)

if we place

x=8,y=5 x=8,y=5

Video Solution

Answer

8 -8

Exercise #5

What will be the result of this algebraic expression:

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

a=12,b=213 a=-\frac{1}{2},b=\frac{2}{13}

Video Solution

Answer

5 -5

Exercise #6

What will be the result of this algebraic expression:

8(x7)+4(62y) 8(x-7)+4(6-2y)

if we place

x=7.1,y=58 x=7.1,y=\frac{5}{8}

Video Solution

Answer

19.8 19.8