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Math 169: Final Test for Math 169

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____________________	1.	For the following two sets choose the strongest correct statement from the selections below: A B A B B A B A B and A are disjoint

____________________	2.	The statement "" is correctly symbolized by which statement below: D E D E D E E D E D

____________________	3.	For the sets which of the following is true? 4 F and 4 G 4 F and 4 G 4 F and 4 G 4 F and 4 G none of the above

____________________	4.	For the sets which of the following is true? 36 F and 36 G 36 F and 36 G 36 F and 36 G 36 F and 36 G none of the above

____________________	5.	For the sets which of the following is true? 27 F and 27 G 27 F and 27 G 27 F and 27 G 27 F and 27 G none of the above

____________________	6.	Which of the choices given below make both of the statements correct? A={2,6,9} B={2,4,6,8} C={3,6,9} A={2,3,6,9} B={2,6,8} C={3,4,6,8} A={2,6,8} B={2,4,6,8} C={2,3,6,9} A={2,4,8,9} B={2,3,6,8} C={2,4,6,9} A={4,8,9} B={2,4,6,9} C={2,3,6,8}

____________________	7.	Given the following sets: Which of the following is true? AB CD AC AB BC CD AB BC CD AB BC CD AB BC CD

____________________	8.

____________________	9.

____________________	10.	The following is an example of applying which of the following properties? Commutative property of addition Associative property of addition Commutative property of multiplication Associative property of multiplication none of the above

____________________	11.	The following is an example of applying which of the following properties? Addition property of zero Multiplication property of zero Multiplication property of one division property of one none of the above

____________________	12.	The following is an example of applying which of the following properties? Commutative property of multiplication Associative property of multiplication Left distributive property of multiplication over addition Right distributive property of multiplication over addition none of the above

____________________	13.	Convert the following number to rational form p/q and reduce it to lowest terms:

____________________	14.	Convert the following number to rational form p/q and reduce it to lowest terms:

____________________	15.	Perform the indicated operation and reduce your answer.

____________________	16.

____________________	17.	Factor:

____________________	18.	Factor:

____________________	19.	Factor:

____________________	20.	Factor:

____________________	21.	Factor:

____________________	22.	Find the value of the third term (k) for which is a perfect square trinomial.

____________________	23.	Simplify and reduce:

____________________	24.	Simplify and reduce:

____________________	25.	Use the process of long division to produce the quotient and the remainder.

____________________	26.	Simplify and reduce:

____________________	27.	Solve for x:

____________________	28.	Solve for x:

____________________	29.

Write a statement of inequality that corresponds to each of the following graphs. Use x to represent the variable.

____________________	30.

____________________	31.

____________________	32.

Graph the solution set of each of the following inequlities on a number line. Label the points on the line.

____________________	33.

____________________	34.

____________________	35.

Solve each of the following inequalities:

____________________	36.

____________________	37.

____________________	38.

____________________	39.

____________________	40.

____________________	41.	Simplify:

____________________	42.	Simplify:

Simplify the following.

____________________	43.

Simplify the following. (Division)

____________________	44.

Solve the following equation:

____________________	45.

____________________	46.	Simplify:

____________________	47.	Simplify:

____________________	48.	Simplify:

____________________	49.	Simplify:

____________________	50.	Simplify:

____________________	51.	Solve:

____________________	52.

____________________	53.

____________________	54.

____________________	55.

____________________	56.

____________________	57.	Calculate the value of the discriminant for the equation .

____________________	58.	For the equation in the previous problem, , are the roots rational, irrational, or imaginary?

Construct a quadratic equation in the form a x² + bx + c = 0 with the given roots for each of the next three problems.

____________________	59.

____________________	60.

____________________	61.

____________________	62.	Solve:

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