# 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 y-axis.

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) ÷ (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 T-table.

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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