Identify all the components of this statement: 3a + 2b = 7
Is this an equation or an expression and why?
constant
variable
term
expression
equation
I believe it is an equation because it has an equal sign
I believe the constant is 7 because that never changes
I'm not sure about the other terms, variable, term, and expression.
Please help. Thank you.
Is it correct, then, that 7 is the constant and the entire thing is the equation?
3 , 2 , and 7 are constants
Great! You're correct, this is indeed an equation.
Let's break down the components of the equation: 3a + 2b = 7
1. Variables: In this equation, we have two variables: 'a' and 'b'. Variables are symbols that represent unknown or changing quantities in equations.
2. Terms: Terms are parts of an expression or equation that are added together or subtracted from each other. In this equation, '3a' and '2b' are the terms.
- '3a' is a term with coefficient 3 and variable 'a'. The coefficient is the number that multiplies the variable, in this case, 3.
- '2b' is a term with coefficient 2 and variable 'b'.
3. Constant: The constant term is a term that doesn't have any variables attached to it. In this equation, the constant is 7.
Hence, in summary:
- Variables: 'a' and 'b' are the variables.
- Terms: '3a' and '2b' are the terms.
- Constant: 7 is the constant term.
So, to answer your question, the components of the equation "3a + 2b = 7" are variables, terms, and a constant.
Terms are separated by + and - signs. In this case, the terms are 3a, 2b, 7.
Variables are usually letters or names whose value can be set or calculated. In this case, a and b are the variables.
An expressions is any set of terms and operators. In this case, the expressions are
3a, 2b, 3a+2b and 7.