Match each word with the correct part of the expression: 5x + 12.
Understand the Problem
The question requires matching parts of the algebraic expression '5x + 12' with their corresponding terms: constant, coefficient, variable, and term. We will identify each component of the expression and accurately pair them.
Answer
- $5x$: term - $5$: coefficient - $x$: variable - $12$: constant
Answer for screen readers
- $5x$ corresponds to term, coefficient, and variable as follows:
- $5x$ → term
- $5$ → coefficient
- $x$ → variable
- $12$ corresponds to constant.
Steps to Solve
- Identify the components of the expression
The expression given is $5x + 12$. It consists of two parts: $5x$ and $12$.
- Match each part with its definition
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Term: A term is either a single number or the product of a number and a variable. In this case, both $5x$ and $12$ are terms.
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Variable: A variable is a symbol used to represent an unknown number. Here, $x$ is the variable in the term $5x$.
- Identify the coefficient
The coefficient is a number that multiplies a variable. In this expression, $5$ is the coefficient of the variable $x$ in the term $5x$.
- Identify the constant
A constant is a fixed value, not dependent on any variable. Here, $12$ is the constant term in the expression.
- $5x$ corresponds to term, coefficient, and variable as follows:
- $5x$ → term
- $5$ → coefficient
- $x$ → variable
- $12$ corresponds to constant.
More Information
In the expression $5x + 12$, there are two distinct terms: $5x$ (which contains a coefficient and a variable) and $12$ (which is a constant). The coefficient is the number that multiplies the variable, while the constant is a standalone number.
Tips
- Confusing terms with individual components. Remember, a term can include coefficients and variables together.
- Misidentifying the variable or the coefficient. It's important to pinpoint which part of the term corresponds to each definition.
