Question

How do you write an equation that means “ \[3\text{ }times\text{ }a\text{ }number,\text{ }plus\text{ }8\text{ }is\text{ }29\] ” ?

Answer 1

Hint: In this question, we have to write a statement into a mathematical statement. Thus, we will apply basic mathematical rules to solve this problem. First, we will let a number which is a variable. A variable is a mathematical symbol used to represent in an equation that is used to change anytime within a mathematical context. Then, we will multiply the variable by 3, after that we will add 8 as per the statement. Now, the statement says that it is 29, which means the whole mathematical context is equal to 29, which is our required result of the solution.

Complete step-by-step answer:
According to the question, we have to convert a statement into a mathematical statement.
Therefore, we will use the basic mathematical rules to get the required solution to the problem.
The statement given to us is \[3\text{ }times\text{ }a\text{ }number,\text{ }plus\text{ }8\text{ }is\text{ }29\] .
So, we start solving this problem by letting a number which is a variable. As we know, variables are those mathematical symbols that are used to change anytime within the mathematical context.
Thus, we let a number be a variable that is equals to x.
Now, the statement states “ \[3\text{ }times\text{ }a\text{ }number\] ” implies the number is multiplied by three, so in mathematical terms, we can represent this statement as
$\Rightarrow 3x$
Now, the statement says that \[3\text{ }times\text{ }a\text{ }number,\text{ }plus\text{ }8\text{ }\], implies the number is adding to a constant 8, so, we can represent it into a mathematical statement, as
$\Rightarrow 3x+8$
After that, the statements say that \[3\text{ }times\text{ }a\text{ }number,\text{ }plus\text{ }8\text{ is 29}\] here 29 means that the number which is multiplied by 3 and after adding 8to it, which gets a total of 29. Therefore, if we represent it in the form of a mathematical statement, we now get a mathematical equation, that is
$\Rightarrow 3x+8=29$
Therefore, for the statement \[3\text{ }times\text{ }a\text{ }number,\text{ }plus\text{ }8\text{ }is\text{ }29\] , we can write it in the form of mathematical statement as $3x+8=29$.

Note: While solving this problem, keep in mind the definition of variables and the mathematical operation to avoid errors. Also, do not confuse when we solve the “3 times a number” statement, do not write it as $x.x.x={{x}^{3}}$ because we are multiplying the number by 3 and not the number is multiplied three times.