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Calculus I Diagnostic
Quiz February
9, 2004

Name____________________ R. Hammack Score
______

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(1) Find all solutions:

Solutions: x
= 2 and x
= -2

(2) Find all solutions:

It's a quadratic set equal to 0 and it doesn't factor,

so we use the quadratic formula:

Solutions:

Thus, there are two solutions: and .

(3) Find all solutions:

Solutions: x=0,
x=
-2 and x=
-3

(4)

(5) Simplify as much as possible:

(6) A straight line has slope 2 and
x-intercept 3. What is its y-intercept?

Call the y-intercept b.

The equation of the line is y=2x+b.

The x-intercept being 3 means
y = 0 when x=3.

Plug this in and the equation becomes: 0=2(3)+b,
or 0=6+b.

From this, the y-intercept is
.