Problem 41 Translate to an algebraic expres... [FREE SOLUTION]

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Chapter 1: Problem 41

Translate to an algebraic expression. \(x\) less than \(y\)

Short Answer

Expert verified

y - x

Step by step solution

Understand the Phrase

Identify the key terms in the phrase 'x less than y'.

Identify the Variable 'x'

'x' is a variable that represents an unknown quantity.

Identify the Variable 'y'

'y' is another variable that represents an unknown quantity.

Translate 'less than'

In algebraic expressions, 'less than' indicates subtraction. Therefore, 'x less than y' means subtracting x from y.

Write the Expression

Using the information from previous steps, the expression 'x less than y' can be written as: y - x

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Key Concepts

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

Translation of Phrases

When dealing with algebra, one of the most important skills is **translating phrases** into algebraic expressions. This process involves turning words into mathematical language. For example, in the phrase 'x less than y', we need to pinpoint the mathematical operations implied by the words. Here, 'less than' suggests a subtraction. Understanding how to translate these phrases allows us to manipulate and solve algebraic problems effectively.

Variables in Algebra

In algebra, variables are symbols that stand for unknown values. **Variables** like 'x' and 'y' can take on different numbers, which can be determined by solving the equations they are part of. In our example, 'x' represents one unknown quantity and 'y' a different one. Both are placeholders that can vary. Using variables effectively can help you solve complex problems by allowing you to generalize and work with unknown quantities in a structured way.

Subtraction in Algebra

Subtraction is a fundamental operation in algebra. In our exercise, we translated 'x less than y' to the expression **y - x**. This means we are subtracting the value of 'x' from 'y'. In abstract terms, if 'y' is 10 and 'x' is 3, the expression becomes 10 - 3 which equals 7. Remember: the phrase 'less than' indicates that you subtract the first variable mentioned from the second one. Mastering how to apply subtraction correctly will help you simplify and solve a wide range of algebraic expressions.

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91影视

Translate to an algebraic expression. \(x\) less than \(y\)

Short Answer

Step by step solution

Understand the Phrase

Identify the Variable 'x'

Identify the Variable 'y'

Translate 'less than'

Write the Expression

Key Concepts

Translation of Phrases

Variables in Algebra

Subtraction in Algebra

One App. One Place for Learning.

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