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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 \(x^2 \geq 2x + 3\) is

a.  \(x \geq 3\)

b.  \(x \geq 3\) or \(x \leq -1\)

c.  \(x \geq 3\) or \(x \geq -1\)

d.  \( -1 \leq x \leq 3\)

e.  \(x \leq -1\) and \(x \leq 3\)

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