7x + 2 = 9 is best described as
A. a range.
B. an equation.
C. a term.
D. an inequality.
Answer (2)
The expression 7 x + 2 = 9 is analyzed.
The definitions of a range, an equation, a term, and an inequality are considered.
The expression is identified as an equation because it states that two expressions are equal.
The best description of the expression is an e q u a t i o n .
Explanation
Analyzing the Problem We are asked to identify the best description of the expression 7 x + 2 = 9 from the given options. Let's analyze the expression and the options.
Understanding the Expression The expression 7 x + 2 = 9 contains a variable x , a constant term 2, and the equality sign '='. This indicates that the expression is stating that 7 x + 2 is equal to 9.
Definitions of the Options Now, let's consider the definitions of the given options:
A range: A range represents a set of values between two endpoints.
An equation: An equation is a statement that two expressions are equal.
A term: A term is a single number or variable, or numbers and variables multiplied together.
An inequality: An inequality is a statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.
Identifying the Correct Description Comparing the expression 7 x + 2 = 9 with the definitions, we can see that it best fits the definition of an equation because it states that the expression 7 x + 2 is equal to 9.
Examples
Equations like 7 x + 2 = 9 are used to model real-world scenarios where you need to find an unknown quantity. For example, if you know that the cost of an item plus a $2 tax equals $9, you can use the equation to find the original cost of the item. Solving equations helps us make informed decisions and predictions in various situations.
The expression 7 x + 2 = 9 is best described as an equation since it states that two expressions are equal. The options provided included definitions ranging from a term to an inequality, but the presence of the equals sign clearly indicates it is an equation. Therefore, the best choice is an e q u a t i o n .
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