Q: Show work on the following questions:

1. Find the slope of the line 7y + 10r = 11. 2. Find all r satisfying the given inequality 8: + 2 3 0. 3. For which values of r is 2' -5 10r. 6. Solve for r: r' - 2r - 8 = 0. 7. Solve for r: z(x + 6) = 2. B. Solve for r: 4- 1- ; =0. 9. Sketch the graph of /(x) = 1 - 4: + 7. 10. Sketch the graph of /(x) = -2x] + 8: - 5. 11. Graph the parabola y = -61 + 8. 12. Let /(x) = 5r + 2 1'-x-6' Compute f(10) and state the domain of f. 13. Where does the graph of y = z intersect the graph of c' + y = 4? 14. Sketch the curve -2' - y' + 8x - 4y -11 =0. 15. Find the equation of the line through (0, 0) which is perpendicular to the line 3y - 2r + 8 = 0. 16. Find the equation of the line passing through the points (5, 7) and (-1, 4). 17. Find the distance between the points (1, 1) and (1, -1). 18. Find the point(s) where the pair of figures described by the given equations intersect. y= -2x +7 and y = 5x + 1 19. Find the points of intersection between the graphs of the given pair of equations. y = 5x- and y = -6: +7 20. What are the possible number of points of intersection between two circles.1. Determine whether or not the following numbers are natural numbers, integers, or rational numbers. (a)0 (b) 3 _ 4+5 (0) 7 -6 (d) 4+5 2 1 2. 2 3. 1 17 2 2 22 11 4. 12 5. Write the proper inequality sign between each pair of the given numbers. (a) 0.000000025 and -10, 000 and = (c) V12 and 4. 6. Factor 2x' - r. 7. Find the reciprocal of 13 8. Simplify the given expression. (-12)(-3) +3 -7 - (-2) 9. The number 120 is 15% of what number? 10. 11. Simplify (a - 3)(b + c) - (ac + 26). 12. Solve for r: 2(3x - 7) - (4x - 10) = 0. 13. Put the following list of numbers in ascending order. (Try to do it without finding decimal equivalents for the numbers). -V2, - 1 22 14. Simplify the following expressions. (a) () (d)