Sample Solution from
Introductory and Intermediate Algebra for College Students (5th Edition)
5th Edition
ISBN: 9780134178141
Chapter 1.1
Problem 1CAVC
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To determine

To Fill:

The blank space

Answer

Solution:

A letter that represents a variety of different numbers is called a variable.

Given:

A letter that represents a variety of different numbers

Explanation

Key Concepts Used:

In this problem we have to find the letter that represents a variety of different numbers.

The letter is called as “variable”.

Variable:

Usually a letter (a symbol) that represents a variety of different numbers is called a variable. Any letter can be used as a variable.

A mathematical expression or a mathematical equation consists of numbers, variables and the mathematical operations which explain the relationship between the variables and constants.

To evaluate a mathematical expression or solving a mathematical equation we have to substitute the given numeric value of variable(s) and perform the mathematical operations (addition, subtraction, multiplication or division) to find the value of mathematical expression or to find the solution of the mathematical equation.

If the constant is associated with the variable by addition or subtraction, then we have to do subtraction or addition of that particular constant on both sides of the equation to obtain the solution.

If the constant is associated with the variable by multiplication or division, then we have to do division or multiplication of that particular constant on both sides of the equation to obtain the solution.

Conclusion:

A letter that represents a variety of different numbers is called a variable.

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