14. [8pts] Write the six trig ratios of x in the right
15. [6pts] Solve for x in the following triangle. State an
equation using trig function that would be used to
solve for the variable in each of the following right triangle.
Solution: x = 21.28
16.[10pts] The scores for the first exam in Mrs.
Mandrell’s algebra class of ten students were 98, 67, 72, 88, 71,
65, 99, 77, 83, and 80. The mean for this class is 80. Calculate the variance
and standard deviation for this
exam. Make a table and show your work.
Find the z-score for the student with 88 and how is this
This student is average and is doing okay.
17. Consider the circle sketched below.
a) [1pt] What point is the center of the
Solution: (−1, 2)
b) [1pt] Find the radius of the circle.
Solution: r = 3
c) [5pts] Write the equation of the
circle in standard form.
Solution: (x + 1)2 + (y − 2)2 = 9
18. [8pts] State the properties of the following examples.
Write the entire name of the
property with no abbreviations.
19. [12pts] Sketch a graph for the following equations.
Label the vertex and the y - intercept for a parabola , and
five points for a circle. Show work. Do not use a table when graphing a parabola
or circle. Use the
transformation properties to find the vertex of the parabola and the center of
20. [5pts] Graph the line that passes through the point
(-2, 1) and has a slope of . Label at least
21. [5pts] Find the slope of the line in the following
graph, using the stair step method .
22. [5pts] Construct the first 5 rows of the Pascal’s
a) [4pts] Find one sequence (pattern) found in the
Triangle. State the type of sequence you found.
b) [3pts] Expand (x + y)6
using Pascal’s Triangle.
c) [3pts] What is the sum of the 100th
row of the Pascal’s Triangle?
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