Match each word with the correct part of the expression: 5x + 12.

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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

  1. Identify the components of the expression

The expression given is $5x + 12$. It consists of two parts: $5x$ and $12$.

  1. Match each part with its definition
  • 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.

  • Variable: A variable is a symbol used to represent an unknown number. Here, $x$ is the variable in the term $5x$.

  1. 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 $5x$.

  1. 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.
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