/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 Translate from algebraic notatio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 16

Translate from algebraic notation to words. \(6 n=36\)

Short Answer

Expert verified
Six times a number n is equal to thirty-six.

Step by step solution

01

Identify the Components

The equation given is 6n = 36. First, identify the components: the coefficient 6, the variable n, and the constant 36.
02

Translate the Equation

Translate each part of the equation into words. The coefficient 6 multiplying the variable n can be stated as 'six times a number n'. The equals sign translates to 'is equal to'. The constant 36 remains 'thirty-six'.
03

Put It All Together

Combine the translated parts into a complete sentence. 'Six times a number n is equal to thirty-six.'

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Algebraic Notation
Algebraic notation is a concise way of representing mathematical relationships using symbols. In the given equation, we see that algebraic notation allows us to convey complex ideas in a simpler form.
For example, the equation 6n = 36 is an instance of algebraic notation. Here, 6n means '6 multiplied by n', making it easier to understand mathematical relationships quickly.
By translating algebraic notation into words, we make the underlying relationships clearer, aiding in comprehension and problem-solving.
Coefficients
The term 'coefficient' refers to a number used to multiply a variable.
In the equation 6n = 36, the coefficient is 6.
This coefficient tells us how many times the variable n is to be taken.
Coefficients serve as multipliers and are essential for quantifying relationships between variables in algebraic expressions and equations.
Understanding coefficients helps in decoding the meaning of algebraic expressions and grasping the scale of the numbers involved.
Variables
Variables are symbols used to represent unknown numbers or values.
In the equation 6n = 36, the letter n is the variable.
Variables can stand for any number and are crucial in solving algebraic equations.
They allow us to create generalized formulas and solve problems that depend on unknown values.
By solving for the variable, we can find specific values that satisfy the equation.
Constants
Constants are fixed values that don't change.
In the equation 6n = 36, the constant is 36.
Unlike variables, constants always represent the same number.
They provide a reference point in algebraic equations, allowing us to find the value of variables.
Understanding constants is important because they often represent known quantities in real-world problems.
Equations
An equation is a mathematical statement that asserts the equality of two expressions.
Equations use the equals sign (=) to show this relationship.
In the given example, 6n = 36 is an equation stating that '6 times a number n is equal to 36'.
Solving equations involves finding the value of the variable that makes the equation true.
Mastering equations is fundamental in algebra, as it helps solve many types of mathematical and real-world problems.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, translate the given sentence into an algebraic equation. The sum of 8 and 9 is equal to 17.

In the following exercises, solve each equation using the subtraction property of equality. $$ 16=x+9 $$

In the following exercises, simplify, using the order of operations. $$ (8+4) \div 3+1 $$

In the following exercises, translate the given sentence into an algebraic equation. The product of 3 and 9 is equal to 27.

In the following exercises, translate the given sentence into an algebraic equation and then solve it. Nine more than q is equal to 40.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.