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Mathematics
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Algebra and Trigonometry Study Set 2
Quiz 1: Precalculus Diagnostic
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Question 1
Essay
Solve. (If your solution has more than one interval, list them in order from left ot right, separate by commas as necessary.)
Question 2
Essay
Solve for x .
Question 3
Essay
Solve for x. (If there is more than one solution, separate each solution for x with a comma.)
Question 4
Essay
Solve for x and y .
Question 5
Essay
The front of an aircraft hanger is being built in the shape of a parabola, which is 162 ft. wide, and has a maximum height of 95 ft. AND must have a rectangular doorway that is 60 ft. tall. What is the maximum width of the doorway? (Round your answer to the nearest tenth of a foot.)
Question 6
Essay
Factor completely:
Question 7
Essay
If g(t)=9 t
2
- t + 10 , find, expand, and simplify g(t - 5) .
Question 8
Essay
Solve for x . (Write your answer in interval notation.)
Question 9
Essay
List any vertical or horizontal asymptotes, if they exist, for the following function.
Question 10
Essay
Factor and simplify:
Question 11
Essay
Find the vertex of the following fuction.
Question 12
Essay
Simplify:
Question 13
Essay
Write the intersection or union of the following inequalities in interval notation:
Question 14
Essay
Rationalize the denominator:
Question 15
Essay
What is the domain of the following function? (Write your answer in internal notation.)
Question 16
Essay
Simplify:
Question 17
Essay
Write the equation of a circle, in standard form, whose diameter is AB, where A = (-2, 11) and B = (6, 23).
Question 18
Essay
Solve for x
Question 19
Essay
What is the x -value of any hole(s) in the graph of the following function?
Question 20
Essay
The volume of a right rectangular solid with a square base is 108 in3. Find the dimensions of the box, if the height of the box is the same as the perimeter of the base.
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