# What is the algebraic expression for 24 times the sum of a number and 2.25?

kjcdb8er | Certified Educator

You need to use a variable. When a word problem asks you for "a number" but you don't know what that number is, choose a letter (like x) and say: lets make x be the number I'm looking for.

Now, the word problem asks for the sum of a number (x) and 2.25, which we write like:

x + 2.25

We take this sum, and multiply it by 24 :

(x + 2.25) * 24

What value does this expression have? I dunno, some number. We don't know what that number is, so let us choose another letter, y this time, and say that this expression equals some number represented by y:

y = 24*(x + 2.25)

There, that's an algebraic expression for 24 times the sum of a number and 2.25.

hala718 | Certified Educator

We will assume that the number added to 2.25 is x:

Then the sum of a number (x) and 2.25 is:

x + 2.25

Now we need to determine 24 times the sum (x + 2.25) and we will get :

24(x + 2.25)

Then the algebraic expression for 24 times the sum of a number and 2.25 is :

E = 24( x+ 2.25)

taangerine | Student

A number can be a variable.

And, 24 times should be multiplied outside of the sum.

Therefore, you get 24 (x+2.25)

givingiswinning | Student

the expression should be written as : 24(x + 2.25)

atyourservice | Student

since we dont know what the number is we are going to use x to replace it

the line "the sum of a number and 2.25" means you are adding so x + 2.25

24 times the sum: means you are multiplying the result of x + 2.25 by 24

so the expression should be written as : 24(x + 2.25)
Wiggin42 | Student

24 times the sum of a number and 2.25?

24 times the sum of something is: 24 * (   )

The sum of a number and 2.25 is ( x + 2.25)

Combining the statements gives us: 24 * (x + 2.25)

It can be written as a function of x.

f(x) = 24*(x + 2.25)