2025 Part 1

Which expression is equivalent to $$4x^2 + 9x - (x - 3)^2 + 11$$ ?

Which expression is equivalent to $$6x^2 + 2(x - 10) - (x - 4)^2$$ ?

Which expressions are equivalent to $$2x^8 - 512$$ ? Select two answers.

Which expression is equivalent to $$3x^2 + 7x - (x + 4)^2 - 9$$ ?

Consider the equation. 4 - 2(x + 3) = 6 - 3(x - 1). What is the value of x in the equation?

Select the correctly identifies the only solution or the best description of how many solutions there are for the equation. $$\frac{1}{5}-\left(\frac{1}{3}x+3\right)=\frac{4}{5}(x+3)-2-\frac{1}{3}x$$

Select the correctly identifies the only solution or the best description of how many solutions there are for the equation. $$3\left(x-4\right)-3=2x-\left(3x-1\right)$$

Select the correctly identifies the only solution or the best description of how many solutions there are for the equation. $$6\left(x-7\right)+10=\frac{3}{2}\left(4x-8\right)-20$$

Select the correctly identifies the only solution or the best description of how many solutions there are for the equation. $$5x+8-6x=\frac{1}{2}\left(4-2x\right)-10$$

Select the correctly identifies the only solution or the best description of how many solutions there are for the equation. $$\left(x+7\right)\left(x-9\right)$$