Problem 7 Change the following Plain Engli... [FREE SOLUTION]

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Painless Algebra

Lynette Long

$Math Studyset 91影视 Explanations$ Math

2 Edition

Chapter 3: Problem 7

Change the following Plain English phrases into Math Talk. the sum of four and a number

Short Answer

Expert verified

4 + x

Step by step solution

Identify the constants and variables

First, recognize the numbers and unknowns in the phrase. Here, 'four' is a constant, and 'a number' is a variable.

Define the variable

Let 'a number' be represented by the variable, say, 'x'.

Translate the phrase into a mathematical expression

The phrase 'the sum of' indicates addition. So, the sum of the constant four and the variable x is written as: \[ 4 + x \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Constants and Variables

Understanding the basics of algebra involves recognizing *constants* and *variables*. A constant is a fixed number and does not change. In our example, the number 'four' is a constant because it has a definite value. On the other hand, a variable is a symbol that represents an unknown value. Variables are usually denoted by letters such as 'x', 'y', or 'z'. In the phrase 'the sum of four and a number', 'a number' is the variable since it is not specified and can take any value.

Writing Algebraic Expressions

An algebraic expression is a combination of constants, variables, and mathematical operations. These expressions help us represent real-world situations in a mathematical form. To write an algebraic expression:

Identify the constants and variables.
Determine the correct mathematical operations to use.

In the example of 'the sum of four and a number,' we identified 'four' as the constant and 'a number' as the variable 'x'. Since the term 'the sum of' suggests addition, we can write the expression as: \[ 4 + x \]

Mathematical Translation

Mathematical translation is the process of converting a word problem or phrase into a mathematical expression or equation. It requires identifying keywords that correspond to mathematical operations. For example:

'Sum' indicates addition.
'Product' indicates multiplication.
'Difference' indicates subtraction.
'Quotient' indicates division.

In our example, the phrase 'the sum of four and a number' translates to the mathematical expression \[ 4 + x \]. This is because 'sum' signals the use of addition, and we are adding the constant 'four' to the variable 'x'. Understanding how to translate words into mathematical symbols is crucial for solving algebra problems.

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91影视

Change the following Plain English phrases into Math Talk. the sum of four and a number

Short Answer

Step by step solution

Identify the constants and variables

Define the variable

Translate the phrase into a mathematical expression

Key Concepts

Constants and Variables

Writing Algebraic Expressions

Mathematical Translation

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