Which expression is equivalent to $(7x^2 - 2x + 1) - (3x^2 + 4x - 5)$ after correctly distributing the negative sign?

$7x^2 - 2x + 1 - 3x^2 + 4x - 5$

$7x^2 - 2x + 1 - 3x^2 - 4x + 5$

$7x^2 - 2x + 1 + 3x^2 + 4x - 5$

$7x^2 - 2x + 1 - 3x^2 - 4x - 5$

Adding and Subtracting Polynomials Practice — Grade 9 math

1. Find the sum of the polynomials: $(2y^2 + 5y - 3) + (4y^2 - 2y + 8)$. The simplified result is ___.
2. Which expression is equivalent to $(7x^2 - 2x + 1) - (3x^2 + 4x - 5)$ after correctly distributing the negative sign?
- A. $7x^2 - 2x + 1 - 3x^2 + 4x - 5$
- B. $7x^2 - 2x + 1 - 3x^2 - 4x + 5$
- C. $7x^2 - 2x + 1 + 3x^2 + 4x - 5$
- D. $7x^2 - 2x + 1 - 3x^2 - 4x - 5$
3. Subtract $(5x^2 - x + 8)$ from $(9x^2 + 3x - 2)$. The result is ___.
4. What is the sum of $(8m^2 - 5)$ and $(3m^2 + 2m - 1)$?
- A. $11m^2 + 2m - 6$
- B. $11m^2 - 3m - 1$
- C. $5m^2 + 2m - 4$
- D. $11m^2 + 2m - 4$
5. Simplify the expression by performing the subtraction: $(-2p^2 + 6p - 7) - (4p^2 - 3p + 2)$. The result is ___.
6. Which of the following expressions is a "like term" with the term $-4x^2y^3$?
- A. $-4x^3y^2$
- B. $9x^2y^3$
- C. $4xy$
- D. $-4x^2y$
7. Simplify the expression by combining like terms: $9m^2 + 7m - 5 - 3m^2 + 2m$. The simplified expression is ___.
8. What is the result when $(10a^2 - 3a + 7)$ is subtracted from $(4a^2 - 8a - 2)$?
- A. $-6a^2 - 5a - 9$
- B. $-6a^2 - 11a + 5$
- C. $6a^2 - 5a + 9$
- D. $14a^2 - 11a + 5$
9. The total perimeter of a triangle is $14x + 10y$. Two of its sides have lengths $5x + 3y$ and $6x - y$. The length of the third side is ___.
10. Using the elimination method, solve the following system for $y$: $2x + 3y = 8$ and $5x - 4y = -3$. The value of $y$ is ___.