Exam3Review

# Exam3Review - MAC 1105 Test 3 Review Summer 2010 Exam...

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MAC 1105 Test 3 Review, Summer 2010. Exam covers Sections 1.8 { 4.2. 1. Solve each inequality. Express your answer in interval notation and graph on a number line. a. ± ± ± ± 4 ± 2 x 3 ± ± ± ± ² 4 b. 7 ± j x ± 2 j ² 3 c. 2 + j 2 ± x j ³ 0 2. Solve each inequality and write your answer in interval form. a) 2(2 x 2 ± 3 x ) > ± 9 b) x 3 ± 3 x 2 < 10 x c) x 2 + 4 x + 4 x 2 ± 9 > 0 3. Find the domain of f ( x ) = r x + 1 x ± 3 . 4. At Bargain Car Rental, the cost of renting a compact car is \$19.95 per day plus 20 cents per mile. At Enterprise, the cost of renting the same car is \$24.95 plus 15 cents per mile. Solve an inequality to ±nd the least amount of miles that must be driven in a day in order for Enterprise to be a better deal than Bargain Car Rental. Be careful to be consistent with units. 5. Find the distance from the point ( ± 1 ; 4) to the midpoint of the segment with endpoints (4 ; ± 3) and (2 ; 7). 6. Find the center and radius of the circle ( x +2) 2 +( y ± 1) 2 = 4. Does the point ( ± 2 ; ± 1) lie on the circle? Graph the circle. 7. Find the equation of the circle which has (1 ; ± 3) and (5 ; ± 1) as the endpoints of a diameter. 8. Write the line in slope-intercept form and graph the line: 2 x + 3 y = 9. 9. a) Graph the line x = ± 2. What is its slope? b) Find the slope and the equation of the line which is perpendicular to the line x = ± 2 and which contains the point (2 ; ± 1). 10. Write the equation of the line which is parallel to the line 4

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## This note was uploaded on 06/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Summer '10 term at University of Florida.

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Exam3Review - MAC 1105 Test 3 Review Summer 2010 Exam...

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