Problem 49 Translate to an algebraic expres... [FREE SOLUTION]

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Chapter 1: Problem 49

Translate to an algebraic expression. Twelve less than a quarter of some number

Short Answer

Expert verified

\( \frac{1}{4}x - 12 \)

Step by step solution

Identify the Unknown Number

Let the unknown number be represented by the variable, say, x.

Find a Quarter of the Number

A quarter of the number can be represented as \( \frac{1}{4}x \).

Interpret 'Twelve Less Than'

The phrase 'twelve less than' indicates a subtraction of 12 from the previous result.

Combine the Elements

Subtract 12 from \( \frac{1}{4}x \) to form the algebraic expression: \( \frac{1}{4}x - 12 \).

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Key Concepts

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

Variables

In algebra, a variable is a symbol used to represent an unknown value. Typically, we use letters like x, y, or z as variables.
In our exercise, we need to express 'some number' as a variable. We chose x to be our variable.
Using variables allows us to create and solve equations in a flexible and generalized way.
With variables, we can describe real-world problems and find their solutions efficiently.

Fractions

Fractions are a way to represent parts of a whole. In algebra, fractions can also be applied to variables.
In the given problem, we need to find a quarter of the unknown number represented by our variable x. Mathematically, a quarter is represented by the fraction \(\frac{1}{4}\).
So, a quarter of x is written as \( \frac{1}{4}x \).
Fractions might seem tricky initially, but they are just a way to show division of quantities.
Remember, the numerator (top number) specifies how many parts we have, and the denominator (bottom number) tells us how many equal parts the whole is divided into.

Subtraction

Subtraction is a basic arithmetic operation that represents the process of taking away something from a whole.
In algebra, subtraction is used in the same way, but we apply it to variables and expressions. Our exercise includes the phrase 'twelve less than'.
This indicates that we need to subtract 12 from a given quantity. In our case, that quantity is \( \frac{1}{4}x \).
So, 'twelve less than a quarter of some number' translates to \( \frac{1}{4}x - 12 \).
Understanding how subtraction interacts with variables and other operations is key to mastering algebraic expressions.

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91影视

Translate to an algebraic expression. Twelve less than a quarter of some number

Short Answer

Step by step solution

Identify the Unknown Number

Find a Quarter of the Number

Interpret 'Twelve Less Than'

Combine the Elements

Key Concepts

Variables

Fractions

Subtraction

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