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MATHEMATICS COMMON ASSESSMENT REVIEW
Identify the letter of the choice that best completes the statement or answers the question.
1. Evaluate g (n – 9) if
2. Find all real zeros of the function y = 7x + 4.
3. Find an equation in
slope intercept form of the line that has slope 2 and passes
through point A(8, 7).
4. Determine the
standard form of the equation of the line that passes through (4, 7)
and (8, 0).
5. Which statement best describes a method that can be used to sketch the graph?
y = x + 1
a. Translate the graph of y = x one unit right.
b. Translate the graph of y = x one unit down.
c. Translate the graph of y = x one unit up.
d. Translate the graph of y = x one unit left.
6. Without graphing, describe the end behavior of the graph of the function.
7. Use the remainder theorem to find which of the following is not a factor of
8. Solve.
9. Solve.
10. Determine the equation whose roots are 2, 4, and 5.
11. Solve x ^{3} + 3x^{2} + x – 5 = 0.
12. Find the number of possible negative real zeros of f(x) = 2x^{4} + 14x^{3} – 35x^{2}.
a. three
b. two
c. one
d. none
Short Answer
13. State the domain and range of {(7, 6), (1, 6), (1, 0)}, and determine
whether the relation is
a function.
14. Determine the domain of the function. Make a number line, and answer in
interval notation.
15. Use the graph to determine the domain and range of the
relation in interval notation, and state
whether the relation is a function.
16. Find if f(x) = x^{2} + 4 and g(x) = 3x – 2.
17. Determine whether the graphs of y = 5x + 17 and
are parallel, perpendicular,
coincident, or none of these.
18. Write an equation for a line in slope intercept form that is parallel to the
graph of y = 5x + 2
and passes through the point at (5, 3).
19. Write an equation for a line in slope intercept form that is perpendicular
to the graph of
8x – 2y = 7 and passes through the point at (8, 9).
20. Is the following function an even function, an odd
function, or neither?
y = 3x^{2} – 6x
21. The graph below is a portion of a complete graph. Sketch the complete graph
assuming it is
symmetric with respect to the yaxis.
22. Find the inverse of: f(x) = (x 2)^{3}.
23. Solve x^{2} – 2x = 35 by completing the square.
24. Find the discriminant and describe the nature of the roots of 4x^{2} + 2x + 6 =
0.
25. Solve 2x^{2} + 2x – 2 = 0 using the quadratic formula.
26. Find (x^{3} + 3x^{2} – 4x  8) รท (x + 2) by using synthetic division.
27. List the possible rational roots of 2x^{3} + x^{2} – 13x + 6 = 0.
28. Find all the zeros of f (x) = 2x^{3} – 7x^{2} + x + 10.
Solve.
Identify the change in the parent function that will
produce the related function shown as a
dashed line.
32. f(x) = x
33. Find the number of complex roots of x^{3} + x^{2} – 2x = 0.
Then find the roots and graph the
related function.
34. Locate the asymptotes, find the x and y intercepts,
and graph the rational function
Graph.
35. y < 2x + 8
Make a Ttable.
36. f(x) = x^{4} – 4x^{2}
Use a graphing calculator to complete each of the
following.
38. Approximate to the nearest tenth the real zeros of f (x) = 5x^{3} + 9x^{2} + 12x
+ 2 .
39. Find the relative minimum and the relative maximum points to the nearest
tenth for the graph
of f (x) = x^{3} + 3x^{2} + 9x  9 .
40. Find the relative and absolute maxima and minima to the nearest tenth of
f (x) = 2x^{4} + x^{3}  11x^{2}  4x + 12 .
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