Question 96476: Write the verbal sentence as an equation.Then solve the equation
Ten plus 6 times a number is equal to 5 less than the number?
Can someone help with this equation?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Remember, with all word problems, common words like "is" and "less" stand for mathematic symbols such as = and -
So here is a list of keywords that translate to mathematic symbols (there are more common keywords, but this list should work for this problem):
| Keyword(s) | What it really means | Mathematic Symbol or variable |
| times, of | Multiplication | * |
| plus, more | Addition | + |
| minus, less | Subtraction | - |
| is, is equal | Equality | = |
| a number, some number | Unknown variable | x (note: this is a letter and not the multiplication symbol) |
note: when you say "5 less than 10", you're really saying "take 5 away from 10" or "10 subtract 5" which translates to 10-5. So it is important to reverse the order of the numbers. If you don't, then you'll end up with a completely different number.
So let's look at the sentence:
"Ten plus 6 times a number is equal to 5 less than the number"
Now pick out the keywords:
Ten plus 6 times a number is equal to 5 less than the number
Now replace the underlined keywords with their corresponding symbol or variable (use the table if you are in doubt)
10 + 6 * x = x-5
So our translated equation is
Now let's solve for x
Start with the given equation
 Subtract 10 from both sides
 Subtract x from both sides
 Combine like terms on the left side
 Combine like terms on the right side
 Divide both sides by 5 to isolate x
 Divide
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Answer:
So our answer is
So the number is -3
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