Instructions: Answer questions and show all your work!

Please remember to show ALL of your work on every problem.

1) Sketch graph of -6x+3y=15 by plotting ordered pair solutions.

2) Find the value of y so that the line through the points (-2,8)and (1,y) has the slope of -2/3.

3) Given the function 2x-y=8 find the following:

a. X-intercept

b. Y- intercept

c. Slope

4) Determine whether each pair of lines are parallel, perpendicular, or neither. State the reason.

a. y=3x-19 and 3x-y=8

b. 2x-y=7 and y=-1/2 x+9

5) Find an equation of the line passing through the points (3,-4)and (-5,-8). Write an answer in slope-intercept format.

6) Write an equation of the line through (5,-1) and parallel to y=0. Write the equation in standard format.

7) Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: -6x+2≤2(5-x).

8) Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line: 1/3 (2x-5)+5≥2/5 (x-2) .

9) Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -3<2(x-4)≤5.

10) Solve the following inequality. Write the solution set using interval notation and graph the solution set on a number line: 7x-2<5 and 5x-10>5

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