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Chapter 2: Problem 7

Translate from algebraic notation to words. \(x+8\)

Short Answer

Expert verified
The sum of a number and 8.

Step by step solution

01

Identify the Variable

Recognize the variable in the expression. Here, the variable is represented by the letter 'x'.
02

Identify the Constant

Identify the constant in the expression. In this case, the constant is 8.
03

Combine Variable and Constant in Words

Convert the mathematical expression into words by describing the relationship between the variable and the constant. For the expression 'x + 8', this translates to 'the sum of a number and 8'.

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Key Concepts

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

Variable Identification
In algebra, a variable is a symbol, usually a letter, that represents a number we don't know yet. It's like a placeholder. For example, in the expression \(x + 8\), the letter 'x' is the variable. It can change or vary, which is why we call it a 'variable'. Variables are essential in algebra because they allow us to create expressions and equations that can model real-world situations.
Constant Identification
A constant is a fixed value that does not change. In an algebraic expression, the constant is the number that stands alone without a variable. For instance, in the expression \(x + 8\), the number '8' is the constant. Unlike variables, constants remain the same and provide a particular piece of information. Recognizing constants helps us understand the structure and meaning of algebraic expressions more clearly.
Algebra to Words Conversion
Converting algebraic expressions into words is a crucial skill that helps in understanding and solving problems. Let's break down the expression \(x + 8\). Here鈥檚 how to convert it into words:
  • First, identify the variable (x) and understand that it represents an unknown number.
  • Next, identify the constant (8).
Putting it all together, \(x + 8\) translates to 'the sum of a number and 8'. This phrase explains the expression in words, making it easier to grasp the relationship between the variable and the constant.

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Most popular questions from this chapter

In the following exercises, simplify, using the order of operations. $$ 5[2+7(9-8)] $$

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