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:

  1. How do you identify coefficients when a variable is not explicitly written (e.g., just "x")?
  2. What happens when a variable is raised to an exponent in an algebraic expression?
  3. How do you combine like terms in an expression involving both numerical coefficients and variables?
  4. Can an algebraic expression have more than one constant term?
  5. 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.