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Chapter 2: Problem 15

Translate from algebraic notation to words. \(3 n=24\)

Short Answer

Expert verified
3 times n equals 24.

Step by step solution

01

Identify Variables and Constants

Look at the algebraic equation and identify the variables and constants. Here, the variable is 'n' and the constants are 3 and 24.
02

Identify the Operation

Determine the mathematical operation connecting the variable and the constants. In this equation, multiplication is used since '3' is multiplied by 'n'.
03

Express the Equation in Words

Write out the equation in words. Recognize that '3n' means '3 times n'. Hence, the equation translates to '3 times n equals 24.'

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Identifying Variables
In algebra, variables are symbols that represent unknown values. Commonly, we use letters like 'n', 'x', or 'y' as variables.
These letters stand for numbers we do not know yet and want to find out.
For example, in the equation 3n = 24'the letter '' is the variable because it represents an unknown value.
This variable is paired with numbers that we do know, called constants.
By identifying the variable, you know what you need to solve for in the equation. It's the mystery element!
Mathematical Operations
Mathematical operations are actions we perform on numbers and variables. They include addition, subtraction, multiplication, and division.
In the equation 3n = 24'the operation involved is multiplication. The number '3' is multiplied by the variable 'n'.
This is important because it tells us how the variable and constants are related.
To solve for '', we need to perform the opposite operation (division) to isolate and find the value of the variable. It's like undoing the action!
Expressing Equations in Words
Translating equations into words makes them easier to understand. It turns abstract symbols into plain language.
For the equation 3n = 24you should first recognize what '3n' means. Here, '3n' translates to '3 times n'.
So, the full equation becomes: '3 times n equals 24'.
Breaking it down like this helps you see the relationship between the numbers and the variable. It鈥檚 a great habit to develop while learning algebra!

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Most popular questions from this chapter

In the following exercises, using the divisibility tests, determine whether each number is divisible by \(2,\) by \(3,\) by \(5,\) by \(6,\) and by 10. $$ 420 $$

In the following exercises, list all the multiples less than 50 for each of the following. $$ 2 $$

In the following exercises, solve each equation using the subtraction property of equality. $$ 17=y+6 $$

In the following exercises, translate each English sentence into an algebraic equation and then solve it. Find the LCM (Least Common Multiple) of 24 and \(40 .\)

In the following exercises, translate the given sentence into an algebraic equation and then solve it. The sum of r and 18 is 73.
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