/*! 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 14 Use mathematical symbols to tran... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 14

Use mathematical symbols to translate each phrase. Eight times a number

Short Answer

Expert verified
The expression is \( 8x \).

Step by step solution

01

Identify the Variable

Choose a variable to represent the unknown number. Let's use the variable \( x \) to represent the number.
02

Translate the Words to Symbols

The phrase 'Eight times a number' implies multiplication of the number, which we've represented as \( x \), by 8.
03

Write the Expression

Combine the variable and the number using the multiplication operation. This gives us the expression \( 8x \).

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.

Variables
Variables are symbols used to represent unknown values or quantities in mathematical expressions. In the given exercise, we use the letter x as our variable. Think of variables as placeholders. They hold the place for values we either do not know yet or values that can change.

For example, in the phrase 'Eight times a number,' the exact number is not given. By choosing a variable like x, we can easily refer to this unknown number in a mathematical expression.
Multiplication
Multiplication is one of the basic arithmetic operations. It involves combining equal groups. In algebra, multiplication is used to scale a variable.

In the exercise, the phrase 'Eight times a number' implies that the number, represented by x, is multiplied by 8. Here, we multiply 8 and x to get the product, which is written as 8x.

Remember, when multiplying a number by a variable in algebra, we write them next to each other without any symbols in between. For instance, 8x means '8 times x.'
Translation of Words to Symbols
Translating words into mathematical symbols is a critical skill in algebra. It involves converting phrases and sentences into algebraic expressions.

For the phrase 'Eight times a number,' the process is straightforward:
  • First, identify the variable (the unknown number). We use x.
  • Second, recognize the operation described. 'Times' indicates multiplication.
  • Third, write the expression by combining the number 8 and the variable x using multiplication, which results in 8x.

By translating words into symbols, we make it much easier to manipulate and solve mathematical 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

Chess Ratings. The formula $$R=r+\frac{400(W-L)}{N}$$ is used to establish a chess player's rating \(R,\) after he or she has played \(N\) games, where \(W\) is the number of wins, \(L\) is the number of losses, and \(r\) is the average rating of the opponents. Ulana's rating is 1305 after winning 5 games and losing 3 games in tournament play. What was the average rating of her opponents? (Assume that there were no draws.)

Convert to scientific notation. 0.000078

Use mathematical symbols to translate each phrase. Six less than half of a number

Find an equivalent expression by factoring. $$ 9 p-3 $$

Write an equivalent expression using the distributive law. $$ 3(a+5) $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

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.