Part III

Question 1

Use the quadratic formula to solve this equation: \[2x^{2}+3x+1=0\]

Question 2a

Graph the equation: \[y=2x^{2}-4x-1\]

Question 2b

Find the coordinates of the points of intersection between \[y=2x^{2}-4x-1\] and y = 5.

Question 2c

Shade the region determined by \[y>2x^{2}-4x-1\] and y < 5.

Question 3

Find all pairs (x, y) that satisfy both of the following equations simultaneously:

3x + y = 4
2x – 3y = 5

Directions: Use the / for fractions. (ex. 2/3)
Example:

Question 4

Simplify: \[\frac{\sqrt{2}}{\sqrt{5}}+\frac{4\sqrt{5}}{\sqrt{2}}+\sqrt{10}\]

Question 5

Solve for m: \[m^{3/2}=5\]

Question 6

Solve for r: \[\frac{11}{12}-\frac{4}{r-3}=\frac{1}{4}\]

Question 7

Simplify: \[\frac{x^{3}-4x^{2}-12x}{x^{2}-20-x}\times \frac{-7x+12+x^{2}}{-6x-x^{2}+x^{3}}\]

Question 8

If the sum of three consecutive integers is 45. Find the integers.

Question 9

How many different ways can all three of the letters x, y and z be ordered if no repetition is allowed?

Question 10

Find the equation of the line that passes through (-1, -2) and is parallel to 5x – y = 7.