Question

How do you express the phrase “the sum of 13 and twice a number h” as an algebraic expression?

Answer 1

Hint:Add first part to twice the unknown variable mentioned.Here, the question has given us the following statement, the sum of 13 and twice a number h. The first step we need to do is divide the phrase into 2 parts. 1st is the “sum of 13” and 2nd is the “twice a number h”. Solving the first part, we can say that it is asking us to sum or add 13 with some other number. Whereas, the second part is asking us to multiply an unknown variable 2 times. And these two separate lines are connected by the word “and” which when combined with both the two statements say to sum 13 and $2h$. Therefore the answer to the above question is $13 + 2h$.

Complete step by step answer:
In algebra, when you are solving a question where you are expressing a phrase into a mathematical expression. There needs to be few things in the mind of yours:-
-Whenever there is a use of “and” we must think of addition.
-Twice, thrice etc. means 2 times 3 times respectively. Or mathematically $2x$ or $3x$.
Here, it is given that “the sum of 13” and “twice a number h”.This means that the addition of the number “13” and two times an unknown variable ‘h’.Which can be easily written in the algebraic form as:- $13 + 2h$

Note: You need to remember one thing while solving these types of sums that, you must not in any case forget the chronology in which the processes are done. Suppose, if a number ‘w’ is divided with number ‘e’ then you must divide ‘w’ with ‘e’ only and not ‘e’ with ‘w’ as this would make your answer completely wrong. Therefore, always remember the order.