Reference no: EM131021742
1) Simplify the expression:
2) Solve the equation:
3) Solve the equation:
4) Solve the equation:
5) Solve the equation:
6) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
7) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
8) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
9) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line:
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?
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 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year 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.
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.
15) 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.
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Evaluate the discussion between the two managers
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Find the slope of the line through the points
: Graph the equation. You may use the axes provided, or create your own graph.
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