Math Problem Statement
Identify the numerical coefficient, the variable, and the constant term in each algebraic expression. a) 3x 2 b) 5n c) w 3 d) 2p 4
Solution
Let's break down each expression:
a) 3x + 2
- Numerical coefficient: The numerical coefficient is the number multiplied by the variable. In this case, it's 3 (the coefficient of ).
- Variable: The variable is the letter that represents a number that can vary. Here, it's x.
- Constant term: The constant term is the number without a variable. In this case, it's 2.
b) 5n
- Numerical coefficient: The numerical coefficient is 5 (the coefficient of ).
- Variable: The variable is n.
- Constant term: There is no constant term in this expression.
c) w + 3
- Numerical coefficient: The numerical coefficient is 1 (because the variable has an implied coefficient of 1).
- Variable: The variable is w.
- Constant term: The constant term is 3.
d) 2p - 4
- Numerical coefficient: The numerical coefficient is 2 (the coefficient of ).
- Variable: The variable is p.
- Constant term: The constant term is -4.
Would you like further details on any of these? Or do you have any other questions?
Related Questions:
- What is the difference between a coefficient and a constant term?
- How do you identify the degree of a polynomial from its terms?
- What happens if there is no constant term in an expression?
- Can an expression have more than one variable?
- How do you simplify algebraic expressions with multiple variables?
Tip: Always remember, the coefficient is the number in front of the variable, the constant term is the number without a variable, and the variable is the letter that represents an unknown value.
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Math Problem Analysis
Mathematical Concepts
Algebra
Algebraic Expressions
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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