/*! 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 50 Write each word phrase as an alg... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 50

Write each word phrase as an algebraic expression, using \(x\) as the variable A number divided by 18

Short Answer

Expert verified
\( \frac{x}{18} \)

Step by step solution

01

Understand the Problem

Identify the key elements in the word phrase: 'A number divided by 18'. Note that the 'number' mentioned is the variable.
02

Identify the Variable

Choose a variable to represent 'a number'. Here, the variable is given as 'x'.
03

Form the Division Expression

To translate 'divided by 18' into an algebraic expression, place the variable 'x' in the numerator and 18 in the denominator.
04

Write the Expression

Combine the variable and the division operation to write the algebraic expression as \( \frac{x}{18} \).

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.

Variable Identification
In algebra, a variable is a symbol (usually a letter) that represents a number. Identifying the variable is one of the first steps in learning algebra because it allows us to write equations and expressions that describe mathematical relationships.
For example, in the phrase 'a number divided by 18', the 'number' is our unknown value. We need a variable to represent this unknown number. Commonly, we use letters like 'x', 'y', or 'z' as variables.
For this exercise, we specifically use 'x' as the variable. Therefore, 'x' will now stand for the unknown number in our expression.
Division in Algebra
Division in algebra follows the same principles as basic arithmetic division but uses variables within the expression. When a word phrase mentions 'divided by', it signifies a division operation.
In our example, the phrase is 'a number divided by 18'. This means we will divide our variable 'x' by 18. The mathematical way to write this is \( \frac{x}{18} \).
Essentially, we place the variable in the numerator (top part of the fraction) and the number 18 in the denominator (bottom part of the fraction).
This gives us a mathematical expression that represents the described division.
Translating Word Phrases
Translating word phrases into algebraic expressions is a key skill in algebra. It involves converting words into mathematical terms and symbols that accurately describe the given situation. Keywords and phrases often give away the required operations.
The phrase 'a number divided by 18' essentially asks us to translate a real-world scenario into math.
  • 'A number' refers to our variable, 'x'.
  • 'Divided by' indicates that we perform a division operation.
  • '18' is the number by which the variable is divided.

By combining these elements, we can construct the accurate algebraic expression: \( \frac{x}{18} \). This process helps us make sense of and solve more complex problems in algebra by breaking them into manageable parts.

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

A manufacturer has fixed costs of \(\$ 1000\) to produce widgets. Each widget costs \(\$ 5\) to make. The fixed cost to produce gadgets is \(\$ 750,\) and each gadget costs \(\$ 3\) to make. Write an expression for the cost to make \(x\) widgets. (Hint: The cost will be the sum of the fixed cost and the cost per item times the number of items.)

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(18,12,0,-4,\) and \(-10\)

Write a numerical expression for each phrase and simplify. 1.85 more than the sum of \(-1.25\) and \(-4.75\)

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. See Example \(9 .\) 6 less than a number is 4

Perform each indicated operation. $$ |-8-2|-|-9-3| $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.