1) The difference between four times a number and three is twenty-five. Find the number​
In order to write in an algebraic way the previous statement you take into account the stament part by part.
The difference between... (two term are going to be subctrated)
four times a number... 4x
and three... 3
is twenty-five = 25
4x and 3 are the number to be subtracted, and this subtraction is equal to 25. Then, you have:
4x - 3 = 25 "this is the algebraic expression"
Next, to solve the previous equation for x, you proceed as follow:
4x - 3 = 25 sum both sides by 3
4x = 25 + 3
4x = 28 divide both sides by 4
x = 28/4
x = 7
Then, the number is 7