key term - Translate

Definition

Translating an expression involves rewriting it in a different but equivalent form, often using different variables or operations, without changing its underlying meaning or value. This process is an important part of evaluating and simplifying mathematical expressions.

5 Must Know Facts For Your Next Test

1. Translating an expression can involve changing the form of the expression without changing its underlying meaning or value.
2. Translating can be useful when an expression is presented in a way that makes it difficult to evaluate or simplify, and a different form may be more manageable.
3. Translating can also be used to convert an expression from one unit or measurement system to another, such as converting from inches to centimeters.
4. The process of translating an expression often involves applying properties of operations, such as the distributive property or the commutative property, to rewrite the expression in a different but equivalent form.
5. Translating an expression can be a valuable skill in problem-solving, as it allows you to manipulate the expression in ways that make it easier to work with and understand.

Review Questions

• Explain the purpose of translating an expression and how it relates to evaluating and simplifying expressions.
  • The purpose of translating an expression is to rewrite it in a different but equivalent form, often using different variables or operations, without changing its underlying meaning or value. This process can be useful when an expression is presented in a way that makes it difficult to evaluate or simplify, and a different form may be more manageable. By translating an expression, you can apply properties of operations and manipulate the expression in ways that make it easier to work with and understand, which is an important part of the processes of evaluating and simplifying expressions.
• Describe how translating an expression can involve changing the form of the expression without changing its value.
  • Translating an expression can involve applying various properties of operations, such as the distributive property or the commutative property, to rewrite the expression in a different but equivalent form. For example, the expression $2(x + 3)$ can be translated to the equivalent expression $2x + 6$, where the form of the expression has been changed but the underlying value remains the same. This type of translation can be useful when an expression is presented in a way that makes it difficult to evaluate or simplify, and a different form may be more manageable.
• Analyze how the skill of translating expressions can be applied in problem-solving and real-world scenarios.
  • The ability to translate expressions is a valuable skill in problem-solving because it allows you to manipulate the expression in ways that make it easier to work with and understand. In real-world scenarios, translating expressions can be useful for converting between different units or measurement systems, such as converting from inches to centimeters or from Fahrenheit to Celsius. Additionally, translating expressions can be helpful in various mathematical and scientific applications, where the ability to rewrite an expression in a different but equivalent form can simplify calculations, improve understanding, and lead to more efficient problem-solving strategies.

Related terms

Evaluate:

The act of determining the numerical value of an expression by substituting given values for the variables and performing the indicated operations.

Simplify:

The process of reducing an expression to its simplest or most basic form by combining like terms, applying properties of operations, and removing unnecessary elements.

Expression: A mathematical phrase that combines numbers, variables, and operations to represent a value or relationship.