1. Look through the exam before you begin.
2. Show all work if you expect to receive partial credit.
3. Simplify. Give a decimal answer only after simplification.
4. NO SHARING CALCULATORS. Also put away any other electronic devices such as a
cell phone or
PDA except your calculator. No headphones.
5. Turn in scratch paper if necessary but make sure your work to be graded is on
the exam – this
is your responsibility.
Mid term Class Grade
C = 2/3…Q + 1/3…M
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Quizzes |
Midterm
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I have dropped the lowest quiz score. See me immediately
if the point totals above do not agree with
your records.
1. (20 pts) (a) Find the slope of the line
containing the two points P(3, 4)… and Q(-1, 0)….
Sketch the line. Label this line 
.
(2 pts) slope:
(2 pts) point-slope form:
(2 pts) slope-intercept form:
(1 pt) y-intercept:
(2 pts) x-intercept:
(b) Use rise-over-run
to sketch the line perpendicular to line 
with
y-intercept R(0,-3)…. Label this line 
.
(1 pt) perpendicular slope:
(2 pts) slope-intercept form:
(2 pts) x-intercept:
2. (4 pts each) Given the functions
and 
,
compute each composition and
state its domain.
3. (3 pts each) Simplify each complex number into the form
a + bi.
(e) (2 pts each) Reduce each exponent and compute the
power of i .
4. (2 pts each)
(a) State the quadratic equation.
(b) State the quadratic formula .
(c) (6 pts) Solve the quadratic equation
by completing the square.
(d) (4 pts) Check your answer in (c) using the quadratic
formula.
5. (18 pts) Accurately sketch the quadratic function
(a) First put the equation
into standard form, then fill in the blanks. (b) Sketch the vertex and axis of
symmetry. (c) Plot the
y -intercept and zeros. Be sure to reflect across the axis of symmetry any point
you plot. (d) Sketch
the graph .
(4 pt) Standard form:
(1 pt) Opens: up down
(1 pt) Vertex: max min
(1 pt) Axis:
(1 pt) y-intercept:
(4 pts) x-intercepts:
(6 pts) Please plot all points that will fit in the
grid and
sketch in the graph.
6. (6 pts) Sketch the general shape of the polynomial
using the (i)
degree, (ii) sign of leading coefficient , and (iii) the multiplicity of each
zero . Use your calculator to
estimate the location of any peaks or valleys. Note: Write everything down to
get credit.
7. (6 pts each) Find the zeros of each polynomial by (i)
stating the possible rational roots, (ii) find at
least one rational root by synthetic division (iii) find the remaining zeros by
factoring or the quadratic
formula.
8. Given the linear system
do the following.
(a) Solve the given linear system using Gaussian
elimination . CHECK YOUR SOLUTION.
(b) Solve the given linear system using inverses.
