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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

01

Understand the Phrase

Identify the key terms in the phrase 'x less than y'.
02

Identify the Variable 'x'

'x' is a variable that represents an unknown quantity.
03

Identify the Variable 'y'

'y' is another variable that represents an unknown quantity.
04

Translate 'less than'

In algebraic expressions, 'less than' indicates subtraction. Therefore, 'x less than y' means subtracting x from y.
05

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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Most popular questions from this chapter

Simplify using a calculator. Round your answer to the nearest thousandth. $$ \frac{13.4-5|1.2+4.6|}{(9.3-5.4)^{2}} $$

If \(n>0, m>0,\) and \(n \neq m,\) classify each of the following as either true or false. $$ n(-n-m)=-n^{2}+n m $$

Write a true sentence using either \(<,>,\) or \(=\). $$|-5| \square|-2|$$

SYNTHESIS Is it true that for all real numbers \(a, b,\) and \(c\) $$ a|b-c|=a b-a c ? $$ Why or why not?

Translate to an algebraic expression.[ 1.1] Nine more than twice a number
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