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 algebraic expression:
a) 3x + 2
- Numerical coefficient: 3 (This is the number that multiplies the variable x.)
- Variable: x
- Constant term: 2 (This is the standalone number without a variable.)
b) 5n
- Numerical coefficient: 5 (This is the number that multiplies the variable n.)
- Variable: n
- Constant term: None (There is no constant term in this expression.)
c) w + 3
- Numerical coefficient: 1 (The coefficient of w is implied to be 1 since it's just "w" without a number in front.)
- Variable: w
- Constant term: 3
d) 2p - 4
- Numerical coefficient: 2 (This is the number that multiplies the variable p.)
- Variable: p
- Constant term: -4 (This is the standalone number without a variable.)
Would you like further clarification or a deeper explanation?
Here are some related questions:
- How do you identify coefficients when a variable is not explicitly written (e.g., just "x")?
- What happens when a variable is raised to an exponent in an algebraic expression?
- How do you combine like terms in an expression involving both numerical coefficients and variables?
- Can an algebraic expression have more than one constant term?
- What is the difference between a variable and a constant term in an equation?
Tip: Remember, the numerical coefficient is always the number that multiplies the variable, even if it's implied to be 1 or -1.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coefficients
Variables
Constant Terms
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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