# Math 002 Test

Problem One (3 Points)

Indicate True or False

 If x is any real number then |x| is positive |2x - 3| = 5means 2x - 3 = 5 or 2x + 3 = -5 For the quadratic equation ax ^2 + bx + c = 0, if b^2 - 4ac is negative then the equation has two real roots

Problem Two (20 Points)

Solve the following equations:

Problem Three (15 Points)

Solve the following equations using the indicated method

1. 7x^2 + 34x - 5 = 0 (By factoring method )

2. 2x^2 + 6x -15 = 0 (By completing the square )

3. 5x^2 - 2x + 6 = 0 (By Quadratic formula )

Problem Four (15 Points)

Solve the following inequalities and write the answer in interval notation:

Problem Five (12 Points)

Use the sign chart to solve the following quadratic inequalities

Problem Six (10 Points)

1. Find two possible consecutive numbers such that the first times the second is twice
the first.

2. For a fund-raising activity, a charitable organization produces cookbooks to sell in the
community. The profit P (in dollars) depends on the number of cookbooks produced,
x, according to

a. How much profit is made when 100 cookbooks are produced?

b. How many cookbooks must be produced for the organization to break even?

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