Subjects algebra

Algebra Questions F3537F

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1. Solve for $x$: $$2x + 5 = 17$$ 2. Factorize the quadratic expression: $$x^2 - 5x + 6$$ 3. Simplify the expression: $$\frac{3x^2 - 12}{6x}$$ 4. Expand and simplify: $$(x + 3)(x - 4)$$ 5. Solve the system of equations: $$\begin{cases} 3x + 2y = 12 \\ x - y = 3 \end{cases}$$ 6. Find the value of $k$ if the quadratic equation $$x^2 + kx + 16 = 0$$ has equal roots. 7. Simplify the expression: $$\frac{2x^2 - 8}{4x}$$ 8. Solve for $x$: $$\frac{2x - 3}{4} = 5$$ 9. Find the vertex of the parabola given by $$y = 2x^2 - 8x + 6$$ 10. Factorize completely: $$4x^2 - 9$$