Which statements are true about the expression y + 9? Choose ALL that apply.
Understand the Problem
The question is asking which statements are true regarding the expression y + 9, specifically focusing on whether 'y' and '9' are classified as a variable, constant, or term. This involves understanding basic algebraic concepts about variables and constants.
Answer
The letter $y$ is a variable; the number $9$ is a constant; both $y$ and $9$ are terms.
Answer for screen readers
The true statements are:
- The letter $y$ is a variable.
- The number $9$ is a constant.
- The letter $y$ is a term.
- The number $9$ is a term.
Steps to Solve
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Identify Variables and Constants In the expression $y + 9$, the letter $y$ represents a variable, which means it can take on different values. The number $9$ is fixed and does not change, so it is a constant.
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Classify Each Element
- For the letter $y$:
- It is classified as a variable because it can change according to the problem’s context.
- For the number $9$:
- It is classified as a constant because it always remains the same.
- For the letter $y$:
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Understand Terms in the Expression Each part of an expression, such as $y$ and $9$, is referred to as a term. Therefore, both $y$ and $9$ are terms in the expression $y + 9$.
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Summarize Findings
- The letter $y$ is a variable.
- The number $9$ is a constant.
- Both $y$ and $9$ are terms.
The true statements are:
- The letter $y$ is a variable.
- The number $9$ is a constant.
- The letter $y$ is a term.
- The number $9$ is a term.
More Information
In algebra, variables are symbols used to represent unknown values, while constants represent fixed values. Each variable and constant in an expression is a term, and understanding these concepts is fundamental to algebra.
Tips
- Confusing a constant with a variable. Constants do not change while variables can represent many values.
- Misclassifying terms. Each part of an expression should be recognized as a term.
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