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Lesson 1: Adding and Subtracting Polynomials — Practice Questions

  1. 1. How would you classify the polynomial $8x^2 + 3x - 7$?

    • A. Monomial
    • B. Binomial
    • C. Trinomial
    • D. Not a polynomial
  2. 2. A polynomial with exactly two terms, such as $y^3 - 8$, is called a ___.

  3. 3. Which of the following expressions is a monomial?

    • A. $x + y$
    • B. $15ab^3c$
    • C. $2z^2 - z + 1$
    • D. $m - 5$
  4. 4. The expression $12p^4 + 5q$ is a binomial because it has exactly ___ terms.

  5. 5. What is the correct classification for the expression $14x^2y$?

    • A. Monomial
    • B. Binomial
    • C. Trinomial
    • D. Constant
  6. 6. Subtract the polynomials: $(5x^3 + 3x^2 - 4x + 8) - (2x^3 - 4x - 3)$.

    • A. $3x^3 + 3x^2 - 8x + 5$
    • B. $3x^3 + 3x^2 + 11$
    • C. $7x^3 + 3x^2 + 5$
    • D. $3x^3 - 3x^2 - 11$
  7. 7. Mario's height in feet is given by $M(t) = 12t^2 - 24t + 34$, and Alfredo's height is $A(t) = -16t^2 + 32t + 6$. What is the difference in their heights after $1/2$ second? The difference is ___ feet.

  8. 8. Subtract $(4x^2 - 3x - 1)$ from $(-3x^2 + 4x - 2)$.

    • A. $-7x^2 + 7x - 1$
    • B. $x^2 + x - 3$
    • C. $-7x^2 + x - 3$
    • D. $x^2 + 7x - 1$
  9. 9. Evaluate $(2x + y - z) + (3x - 4y + 6z) - (5x - 9y - 3z)$ for $x = 2.8$, $y = -3.6$, and $z = 1.8$. The value is ___.

  10. 10. Simplify the expression $(4t^2 + 7) - (3t^2 - 5)$. The result is ___.