(Expression for the phrase and define the variable ) 2 more than twice a number

Question

Its about writing an expression

 

Answer 1

For beginning the process of translating words to math expressions, with operations and variables, it is good to include all the intermediate steps [often skipped by teachers and tutors].

 

A.  Make and keep a list, like a translation dictionary:

        words               means                     math

       ----------                                       -----------

         more than                                       +   (> for greater than)

         sum                                                +

         twice                                               2*x

         less than                                         -     (<)

         difference                                        -

         times                                              *

         product                                           *

         quotient                                          /

           . . .  [lots more]

 

B. This give you the ability to literally translate an expression in words:

 

     "2 more than twice a number"                [let x = "a number"]

      2        +         2 * x

 

Now, math experts will say that it is preferred to put the expression in order (using the commutative property) so that any powers of variables come first, like this:      3y³ + 4y²  + 7y + 30

 

For the expression

      2 + 2x

  that means the answer is:

     Let x = a number

     2x + 2                    

 

Now, once you understand that process, you might skip directly to "2x + 2", but, be careful, because other students may need the detailed explanation first.

Answer 2

two more than:  + 2

Twice a number:  2x

 

Two more than twice a number:  2x + 2