MAT135 Review for Test I Spring 20101. Find the slope of the line that passes through the points(3, 2) and ( 4,5)- -.2. Is ( 2,5)- a solution to 3 7x y- =?3. Solve for x:( 16) 2( 1)x x- + = +.4. Solve for x:5 2 3 9x- - + =-.5. A car rental agency offers two rental plans. With Plan 1, the customer pays $20.00 perday plus $0.10 per mile. With Plan 2, the customer pays $40.00 per day plus $0.05 per mile. How many miles must be driven to make the daily cost of Plan 2 the better deal?5. Solve for x:9 6 3 3x- � - <-. Express the answer in interval notation.6. Find the slope and y-intercept of 6 2 11.x y- =7. Find the equation of a line parallel to 3 5x y+ = that passes through the point( 2, 2)- -.8. Solve ( )a b x y c- - = for x.9. What is the y-intercept of the horizontal line that passes through ( 3, 7)?- -10. What is the domain, in interval notation of ( ) 6 7 ?f x x= -11. Solve and graph:2 11 9 or 8x x x- �- < -.12. A lawyer charges a consultation fee of $125.00 plus $50.00 for every 30 minutes spent working for a client. Write the equation (you do not have to solve) that represents the charges to the client for x hours of work.13. If 2( ) 2 1g x x= -, what is (5)?g14. Solve for x: 14 3.x - �15. Is the following relation a function? { }( 1,8),(3,2),(5, 1),(8,200),(16, 1),- - -.16. The relationship between the number of pages read, P, and the number of hours, h, spent reading is linear. If someone reads 92 pages in 4 hours one day and 23 pages in onehour the next day, how long will it take to read 108 pages?17. Consider the graph of y=f(x) below. Are the following statements true or false?Dugopolski 1MAT135 Review for Test I Spring 2010 y a. : The y-intercept is at (2,0).b. The x-intercept is at (-2,0).c. The slope of the line is negative.d. The slope of the line is 2.e. (1) 3f =.f. The graph represents a function.g. ( 3) 1f - =.18. What is the equation of the line shown in the graph above?19. The profit from a sale of tickets to an event is represented by ( ) 25 2.4P t t= -. What does the slope of this equation represent?20. Solve for x and write the solution in interval notation:1 1(6 2) 25 (8 4)6 4x x+ - <- -. Dugopolski
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