1) Simplify the expression: 42 2 52 33 6 2 12 2) Solve the equation: 6 x 4 9 2 x 3) Solve the equation: 3 5 x 1 4 6 x 1 3 3x 2 4) Solve the equation: 3x 4 2 x 1 3 5 3 5) Solve the equation: 0.8 x 4.4 0.5 x 1.4 Math 012 Midterm Exam Page 2 6) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 4 x 9 9 x 1 7) Solve the inequality. Write your answer in interval notation and graph the solution set on a 3 x 10 5x 6 number line: 5 3 3 5 8) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 5 4 x 3 15 Math 012 Midterm Exam Page 3 9) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 14 7 3x 22 10) Amber paid $27,375 as a down payment for her house. If the down payment was 15% of the actual cost of the house, what was the actual cost? 11) After Sarah received a 5% raise, her annual salary was $71,400. What was her annual salary before the raise? Math 012 Midterm Exam Page 4 Math 012 Midterm Exam Page 5 12) Marcus wins $800,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.24% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 1.8% interest compounded annually over the 5year period. How much money will he have altogether in the two accounts at the end of the 5year period? 13) Line a has a slope of 6. If line b is perpendicular to line a, what is the slope of line b? 14) Given the points (5, -3) and (-7, 1): a) Find the slope of the line through the points. b) Write an equation in point-slope form of the line through the points. Math 012 Midterm Exam Page 6 c) Convert the equation to slope-intercept form. d) Convert the equation to standard form. e) Graph the equation. You may use the axes provided, or create your own graph. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 Math 012 Midterm Exam 15) Page 7 a) Write an equation of a vertical line through the point (-3, 5). b) Write an equation of a horizontal line through the point (-7, -2). c) Find the slope of a line parallel to the line with equation 3x - 7y = 21. d) Find the slope of a line perpendicular to the line with equation 2x + 3y = 5. \f\f\f\f