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

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kjcdb8er's profile pic

kjcdb8er | Teacher | (Level 1) Associate Educator

Posted on

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's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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's profile pic

taangerine | Student, Grade 12 | (Level 1) Valedictorian

Posted on

Sum is addition. 

A number can be a variable. 

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

Therefore, you get 24 (x+2.25) 

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

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's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

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)

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