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1.  The solution to the equation \(x^3 - 3x^2 = 4x\) is

a.  \(x = 0, 4\)

b.  \(x = -1, 0, 1\)

c.  \(x = -1, 0 , 4\)

d.  \(-1 \leq x \leq 1\)

e.  \(x = 4\)

2.  The solution to the equation \(x^2 - 4 = 2x\) is

a.  \(x = 2, 4\)

b.  \(x = 1+\sqrt{20}, x = 1-\sqrt{20}\)

c.  \(x = 1+\sqrt{5}, x = 1-\sqrt{5}\)

d.  \(x = 1+\sqrt{3}i, x = 1-\sqrt{3}i\)

e.  No solutions

3.  The solution to the inequality \(x^2 + 2 = x\) is

a.  \(x = 1+\sqrt{7}, x=1-\sqrt{7}\)

b.  \(x = 1+\sqrt{5}, x=1-\sqrt{5}\)

c.  \(x = \frac{1+\sqrt{7}}{2}, x=\frac{1-\sqrt{7}}{2}\)

d.  \(\frac{1+\sqrt{5}}{2}, x=\frac{1-\sqrt{5}}{2}\)

e.  No solutions

4.  An equation of the line through the point (3,2) and perpendicular to the line \(y = 3x - 5\) is

a.  \(y = -\frac{1}{3}x + 1 \)

b.  \(y = 3x - 7\)

c.  \(y = -3x + 11\)

d.  \(y = -\frac{1}{3}x + 3\)

e.  \(y = 5x - 3\)

5.  An equation of the line through the point (3,2) and perpendicular to the line \(y = 4\) is

a.  \(y = 3 x \)

b.  \(y = 2\)

c.  \(x = 3\)

d.  \(y = x\)

e.  \(y = -\frac{1}{4} x + \frac{11}{4}\)

6.  An equation of the line through the point (3,2) and parallel to the line \(y = 4\) is

a.  \(y = 3 x \)

b.  \(y = 2\)

c.  \(x = 3\)

d.  \(y = x\)

e.  \(y = -\frac{1}{4} x + \frac{11}{4}\)