1. Solve for $x$ in the equation $$2x+3=7$$. 2. Find the roots of the quadratic equation $$x^2 - 4x + 3=0$$. 3. Simplify the expression $$\frac{3x^2 - 6x}{3x}$$. 4. Calculate the derivative of the function $$f(x) = 5x^3 - 2x +7$$. 5. Integrate the function $$\int (4x^2 + 3x +1) dx$$. 6. If the speed of an object is given by $$v(t) = 3t^2 - 4t +2$$, find its acceleration at time $$t=2$$. 7. Solve the system of linear equations: $$x + y = 5$$ $$2x - y = 3$$. 8. Find the value of $$x$$ satisfying $$\log_2 (x) = 5$$. 9. Express the expression $$\sin^2(x) + \cos^2(x)$$ in its simplest form. 10. Find the area under the curve $$y=x^2$$ between $$x=0$$ and $$x=3$$.