Math Problem Statement

What is the expression? 3x^2 - 5x + y - 4

Solution

The image you've provided shows a section from an algebra test checklist. Let's review and break down the first question:

Expression:

3x25x+y43x^2 - 5x + y - 4

Breakdown:

  1. How many terms does it have?

    • The expression has 4 terms: 3x23x^2, 5x-5x, yy, and 4-4.
  2. Coefficient of x2x^2?

    • The coefficient of x2x^2 is 3.
  3. Coefficient of yy?

    • The coefficient of yy is 1 (since yy is implicitly 1×y1 \times y).
  4. What is the constant?

    • The constant term is -4.

Would you like more details or any clarifications?

Here are 5 related questions to expand on this:

  1. What is a term in an algebraic expression?
  2. Can an expression have more than one variable? How would you handle it?
  3. What happens if the coefficient of a term is negative? How does that affect the term?
  4. How do you identify the degree of a polynomial expression?
  5. How would you simplify an expression like 2x2+3x25x+y2x^2 + 3x^2 - 5x + y?

Tip: Always keep track of the signs (positive or negative) of terms when analyzing algebraic expressions.