/*! 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 8 Translate from algebraic notatio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 8

Translate from algebraic notation to words. \(x+11\)

Short Answer

Expert verified
The variable x increased by 11.

Step by step solution

01

Identify the Variable

In the algebraic expression, the variable given is \(x\).
02

Identify the Operation

The operation between the variable and the number \(11\) is addition.
03

Identify the Number

The number in the expression is \(11\).
04

Combine the Details

Combine the variable, operation, and the number into a verbal expression: 'The variable x increased by \(11\).'

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 way to represent mathematical expressions using symbols and numbers. It helps in simplifying and solving problems. For example, rather than saying 'add 11 to a number,' it's written compactly as \(x + 11\).
This notation is especially useful as it allows us to work with unknowns and variables efficiently.
  • Symbols: These include basic math symbols like +, -, *, /.
  • Numbers: Both constants (like 11) and variables (like x).
Understanding algebraic notation lays the foundation for more complex mathematics and helps in forming equations and inequalities that you can solve later.
Variables in Algebra
Variables are symbols used to represent unknown values. In algebra, the most commonly used variables are letters like x, y, and z. For instance, in the expression \(x + 11\), the letter x is a variable.
Variables allow for flexibility in mathematical expressions because they can stand for different numbers. This is particularly useful when solving equations or working on problems where the exact values are not known upfront.
  • Representation: Variables are usually letters and stand in for unknown numbers.
  • Flexibility: They can take on any number of values depending on the problem.
Understanding variables helps in forming expressions, equations, and solving problems where some numbers are unknown.
Addition in Algebra
Addition in algebra works much like it does in basic arithmetic but involves variables and constants. In the expression \(x + 11\), addition is the operation that combines the variable x with the constant number 11.
Here's how addition in algebra works:
  • Combine Like Terms: When adding variables and numbers, you combine 'like terms,' which are terms with the same variable part.
  • Constant Addition: You simply add the numerical part. For example, 3 + 11 = 14.
Knowing how to handle addition in algebra helps solve expressions and equations smoothly. It's the first step to mastering more complex algebraic operations.

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

In the following exercises, translate the given sentence into an algebraic equation and then solve it. The sum of s and 13 is 68.

In the following exercises, find all the factors of each number. $$ 180 $$

In the following exercises, translate each phrase into an algebraic expression. the quotient of 12 and \(y\)

In the following exercises, list all the multiples less than 50 for each of the following. $$ 10 $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and 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.