/*! 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 12 Use mathematical symbols to tran... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 12

Use mathematical symbols to translate each phrase. Ten more than some number

Short Answer

Expert verified
\( x + 10 \)

Step by step solution

01

Identify the Unknown Number

Choose a variable to represent the unknown number. Often, we use the letter \( x \) to signify this.
02

Translate the Phrase

The phrase 'ten more than' suggests adding 10 to the unknown number. Therefore, the phrase translates to the expression \( x + 10 \).

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.

Translating Phrases into Algebraic Expressions
When we talk about translating phrases into algebraic expressions, we mean turning everyday language into mathematical terms. For example, the phrase 'ten more than some number' can be confusing at first.

To translate this phrase, follow these simple steps:
  • Identify the number we don't know. We can represent it with a variable, commonly the letter 'x'.
  • Recognize the action in the phrase. 'Ten more than' means we are adding 10 to our unknown number.
So, the phrase 'ten more than some number' translates to the algebraic expression \(x + 10\).

By breaking down the phrase step-by-step, it becomes much easier to understand and convert it into an algebraic expression. This skill is important for solving algebra problems and can be applied broadly in math.
Understanding Variables in Algebra
In algebra, a variable is a symbol (like x or y) that represents an unknown number. Variables are crucial because they allow us to write expressions and equations that generalize mathematical relationships.

Here are some key points about variables:
  • Variables can stand for any number. For example, in the expression \(x + 10\), 'x' could be 5, 10, -3, or any number.
  • Using variables makes it easier to write and solve equations. Instead of solving one problem, we can solve a whole group of problems by working with variables.
  • When solving a problem, often the first step is to choose a variable to represent the unknown number.

For example, in our original exercise, we used 'x' to represent 'some number'. Then, we added 10 to 'x' because the phrase asked for 'ten more than' that number.

Understanding variables and how to use them makes working with algebra much more manageable.
Addition in Algebra
Addition in algebra works just like addition with regular numbers, but we also have to take variables into account. When we add numbers or expressions in algebra, we combine their values.

Here are a few important points about addition in algebra:
  • When adding a number to a variable, we write the variable first and then add the number. For instance, \(x + 10 \) means adding 10 to any number 'x' represents.
  • We can also add variables together, but only if they are the same variable. For example, \( x + x\) simplifies to \(2x \).
  • If the variables are different, they cannot be combined directly. For instance, \( x + y \) cannot be simplified further.

In our example, 'ten more than some number' translates to \(x + 10\). Here, we are adding a fixed number 10 to the variable 'x', which makes the translation straightforward.

Mastering addition in algebra is essential for solving more complex equations and expressions in math.

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

To the student and the instructor: Throughout this text selected exercises are marked with the icon Ahal. Students who pause to inspect an Ahal exercise should find the answer more readily than those who proceed mechanically. This may involve looking at an earlier exercise or example, or performing calculations in a more efficient manner. Some Ahal exercises are left unmarked to encourage students to always pause before working a problem. Evaluate each expression using the values provided. $$ m^{2}-[2(m-n)]^{2}, \text { for } m=7 \text { and } n=5 $$

Calculate using the rules for order of operations. If an expression is undefined, state this. $$ \frac{3^{4}-(5-3)^{4}}{8-2^{3}} $$

The number of animals adopted through Tallahassee Animal Services decreased \(1.1 \%\) from 2011 to \(2012 .\) It then decreased \(3.6 \%\) from 2012 to 2013 and decreased again \(8.5 \%\) from 2013 to \(2014 .\) The number increased \(11.0 \%\) from 2014 to \(2015 .\) If there were 2879 adoptions in \(2015,\) how many were there in \(2011 ?\)

Write an equivalent expression using the distributive law. $$ -5(2 a+3 b) $$

Use set-builder notation to write each set. The set of all multiples of 5 between 7 and 79
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

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.