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MATHEMATICS COMMON ASSESSMENT REVIEW

Multiple Choice

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 + 3x2 + x – 5 = 0.

12. Find the number of possible negative real zeros of f(x) = 2x4 + 14x3 – 35x2.

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) = x2 + 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 = -3x2 – 6x

21. The graph below is a portion of a complete graph. Sketch the complete graph assuming it is
symmetric with respect to the y-axis.

22. Find the inverse of: f(x) = (x -2)3.

23. Solve x2 – 2x = 35 by completing the square.

24. Find the discriminant and describe the nature of the roots of 4x2 + 2x + 6 = 0.

25. Solve 2x2 + 2x – 2 = 0 using the quadratic formula.

26. Find (x3 + 3x2 – 4x - 8) รท (x + 2) by using synthetic division.

27. List the possible rational roots of 2x3 + x2 – 13x + 6 = 0.

28. Find all the zeros of f (x) = 2x3 – 7x2 + 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 x3 + x2 – 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 T-table.

36. f(x) = x4 – 4x2

Use a graphing calculator to complete each of the following.

38. Approximate to the nearest tenth the real zeros of f (x) = -5x3 + 9x2 + 12x + 2 .

39. Find the relative minimum and the relative maximum points to the nearest tenth for the graph
of f (x) = -x3 + 3x2 + 9x - 9 .

40. Find the relative and absolute maxima and minima to the nearest tenth of
f (x) = 2x4 + x3 - 11x2 - 4x + 12 .

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