Pre-Algebra Help?
Here’s the question: The sum of 10 and a number *n* is the same as twice the number.
*NOTE*- Answers containing the math answer will recieve a thumbs down.
Favorite Answer
Break the sentence down into its components.
**”The sum” (that tells you this is addition).
** “of 10″ (the first term before the plus sign will be 10.
**”and a number*n*” means that you should use the letter “n” to represent the unknown number and place it on the other side of the plus sign
**”is the same as” Read this as EQUALS use the equal sign here
** “twice” means two times the number
**”the number.” Means use the n again.
that will give you an equation that you can solve. Send me what you get and I will review for you if you like. Good luck.
so if you add 10 and “n” it will equal two times n. Write the equation, solve it and send it.
the sum – means to add
a number “n” – means that “n” is the variable, what you are trying to find out
by itself, is means equals, but you could add “greater than” or “less than” to change the meaning of it
is the same as – equals
twice – multiply by 2
the number – “n”, what you are looking for.
So now that I’ve broken it down, making sure I understand what all the words mean, I’m going to put it back together in the form of an equation
10 + n = 2 x n
(the sume of 10 and a number “n”)(is the same as) (twice the number)
So your equation is 10 + n = 2 x n. Now that you have the equation, you need to solve for n. Remember that what you do to one side, you must do to the other. What you are trying to do is get “n” by itself on one side and a number on the other.
Let’s try subtracting the 10 to get n by itself on the left.
10 + n = 2n
-10 -10
n = 2n – 10. Well that didn’t work out that well because “n” is by itself on the left, but on the right we have 2n. We can’t divid the n to move it over to the left because n isn’t on both terms. The “- 10” part has no n in it.
So let’s not do that. Back to original equation: 10 + n = 2n
So let’s try following the “order of operations” rule (remember “Please Excuse My Dear Aunt Sally”, start by doing all things in parenthasis first, then exponents, then multiplication and division, then subraction and addition) and start with dividing the n to move it to the right.
So you divid the whole left side “10 + n” by n, and divid the right side by “n”, leaving you with:
(10 + n)/n = 2
Now you split up the left side into two terms, remembering that you are dividing both the 10 and the “n” by n.
(10/n) + (n/n) = 2
Now (n/n) = 1, because any number divided by (or “over”) itself is 1.
(10/n) + 1 = 2
Now what? We still don’t have n by itself, and it’s “on the bottom”, so do we just multiply by “n”? No. You can’t multiply by “n” yet because the n is only on one term not both (no “n” in 1). So we need to have only one term on the left and one on the right. We do this by subtracting the 1 to the other side.
(10/n) + 1 = 2
– 1 -1
10/n = 1
Now that we have only one term on the left, we can multiply both sides with “n” to move it out from the denominator.
(10/n) = 1
n x (10/n) = 1 x n
the two “n” on the left cancel out, leaving you with
10 = 1n
1n is the same thing as just “n”, so
10 = n
We’re solved it! But, just to make sure, you should awalys go back and check your work, plugging the answer in for “n” in the original problem.
10 + n = 2n
10 + 10 = 2 x 10
20 = 20 Yup, that’s right!
I remember learning about this and I know how to solve it, but since you don’t want that, I’ll try to explain it to you.
Whenever something says “equal”, “equivalent”, “the same as”, etc it means the equal sign [=] like in problems where you have to identify which number is larger [3<9]. So you'll want to do the first part and then do an equals and then the next part. The sum is always addition, and twice a number means you double it. I'm not sure how else to explain it, if you need anything specific just message me, sweetie!
10 + n – n = 2n – n
10 = n
That’s all there is to it!
is……..=
twice the number……..2n
so 10+n=2n
all you have to do is solve it out.
subtract n from both sides.
then you have your answer.
n + 10 =2n
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