Evaluate the following numbers and write your answer without exponents. 1. 10-5 1 2. 252 3. 2 2 8 -4/2 4. 27 5. Use inequality notation and interval notation to express to the set of negative numbers. 6. Simplify, using positive exponents only. (2x) -1x3 2x -2 7. Give an example of a polynomial of degree four with leading coefficient -3 and constant term 5.8. Multiply: (x1)2(x+ 1) 9. Factor the difference of two cubes: 10. Simplify the compound fraction: 11. Subtract and simplify: i_i xl x+1 8x3y 12. Find the midpoint of the line segment with endpoints ( 3 , 2 ) and ( 5 , 2 ) 13. Find the distance between the points ( 1 , O ) and ( 1 , 5 ) 14. Write in simplest radical form: J; 15. Write in simplest radical form: \\112x3 16. Rationalize the denominator and simplify: 2 2+/ 17. Write the equation for the circle with center ( 2,1) and radius 5. 18. Solve for x: x2 2x = 9 19. Solve for x: (x -1)2 = 8 20. Solve for x: 4x 3 = x2 21. Give an example of a quadratic equation with one real solution. (Hint: the discriminant must be zero.) 22. The inequality |x 1' 3 25. Letx(x 1) = 1. a) Can you conclude that x = 1 or x 1 = 1? (Hint: substitute to see if it works) b) What do you have to do to solve this problem? c) Solve it, using the appropriate method