Identify all components of this statement: 3a + 2b = 7. Is this an equation or an expression and why?
o Constant
o Variable
o Term
o Expression
o Equation
Any mathematical statement with an equal sign is an equation,so this is a linear equation. And 3a+2b-7 is an expression with 3 terms:3a,2b and 7.
Thank you, Vin Mwale. Are there any constants or any variables here?
To identify the components of the statement "3a + 2b = 7" and determine whether it is an equation or an expression, let's break it down:
1. Constant: A constant refers to a fixed numerical value that does not change. In this statement, the constant is 7, which remains the same all the time.
2. Variable: A variable is a symbol that can represent any value. In this statement, the variables are "a" and "b," which can take different values.
3. Term: A term refers to a combination of a constant and a variable, typically separated by an operation. In this statement, "3a" and "2b" are the terms since they involve both constants (3 and 2) and variables (a and b).
4. Expression: An expression is a group of terms combined by mathematical operations but without any equality or inequality signs. The statement "3a + 2b" is an expression as it is a collection of terms, but it still lacks an equality or inequality to establish a relationship.
5. Equation: An equation is a statement that shows equality between two expressions and contains an equal sign (=). The complete statement "3a + 2b = 7" is an equation since it equates the expression "3a + 2b" to the constant 7, indicating that both sides are equal.
In summary, the components of the given statement "3a + 2b = 7" are variables (a and b), constants (3, 2, and 7), and terms (3a and 2b). It is labeled as an equation because it contains an equality sign (=) and relates the expression on the left side to the constant on the right side.