May 2017

The graph of y = ax² + c has its vertex at (0, 4) and passes through the point (3, -5). Find the value of a.

Solve for the determinant of $\begin{vmatrix}
1 & 2 & 3 \\
2 & -1 & 4 \\
-1 & -1 & -5
\end{vmatrix}$

Evaluate $\begin{vmatrix}
8 & -20 \\ 4 & 10
\end{vmatrix}$.

A student in a chemistry laboratory wants to form a 32 milliliter mixture from two solutions to contain 30% acid. Solution A contains 42% acid and solution B contains 18% acid. How many milliliters of each solution must be used?

A line with equation $ax + by = 3$ passes through (6, 3) and (-1, -1). Find a and b without finding the slope.

Find the equation of a line having a slope of 2 and y-intercept of 3.

Find the equation of a line with slope 2/3 passing through point (0, -5).

Find the slope of the line determined by the points (-3, 4) and (1, -6).

Simplify $2\sqrt{8x^3} + 3x\sqrt{32x} - x\sqrt{18x}$