MAT135 Review for Test II Spring 20101. Find the values of x and y that solve the system: 3 5 48 18x yx y+ =��- + =�.2. How many terms doe the polynomial have and what is its degree?3 4 24 6 7 2p p p p+ - +?3. Simplify: 2 2 2(3 2 4) (7 4 3) (4 3 1)a a a a a a- + - + - + - +.4. If 2( ) 9 2 4 , evaluate ( 4)f x x x f m= - - +.5. Factor, if possible: 230 19 63z z- -.6. Solve for v: 210 16 0v v- + =.7. For what value(s) is the following expression undefined? 23 18 15xx x+- +.8. What is the LCD of 2 23 and 5 4 9 20y yy y y y-+ + + +.9. Factor completely: 6 15 10 25st t s+ - -.10. A ball is thrown upward. Its height after t seconds is given by2( ) 16 32 768.h t t t=- + + In how many seconds does the ball hit the ground?11. Let ( ) 6 and ( ) 4f x x g x x= + = -. Find (a) ( ) ( )f x g x- and (b)( ) ( )f x g xg and simplify.12. Multiply and simplify: 2 33 230 25 16 5 4 6 36y y y yy y y- - -- -g13. The zoo charges $13.00 for adult tickets and $5.00 for children’s tickets. The bill for 140 people on a school trip was $892.00. How many adults and how many children wentto the zoo?14. Factor completely: 29 16 24w w+ +.15. If 2( ) 12 35 and ( ) 3f x x x g x= + + =, for what value(s) is f(x)=g(x)?Dugopolski 1MAT135 Review for Test II Spring 201016. The length of the top of a table is 7 m greater than the width. If the area is 78 square meters, find the dimensions of the table.17. Divide and simplify: 2 22 22 63 8 20 3 70 11 18t t t tt t t t+ - - -�+ - + +.18. Which of the following is not a polynomial? Are any of the polynomials prime?a. 23 5x x+ +b. 24 36x - c. 2 12 3x x-+ +19. A company determines that its revenue from selling washing machines is determined by 2( ) 272.04 0.2 R x x x= -. What is the revenue from selling 152 washing machines?20. The graph below represents a system of equations. You may assume that each tick mark represents one unit. y a. What is the solution to this system of equations?b. Find the two equations that the graph above represents.c. Check that the solution solves the system of equations set up in (b). Dugopolski
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