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1. Which of the ordered pairs

(6, 1), (8, 0), (4, -2), (-4, 6)

are solutions for the equation x + 2y = 8?

2. A small company did a poll of how their employees commuted to work. The data is shown in the bar graph below.

430_Bar Graph.png

(a) How many people commute to work via car?

(b) How do most of the employees commute to work?

3. Complete the ordered pairs for the equation 2x + y = 10.

(5, ), ( , 10), ( , -2), (0, )

4. Find four solutions for the equation 3x + 5y = 15.

5. Graph 2x - y = 4.

6. Graph using the intercept method: x + 3y = 6.

7. Graph by first solving for y.

4x - 3y = 6

8. Graph using the intercept method: 2x + y = 4.

9. Find the slope of the line passing through the points (9, 12) and (8, 4).

10. Find the slope of the line passing through the points (-10, 10) and (0, 0).

11. Find the slope of the graphed line.

317_Slop Line Graph.png

12. Find the slope of the graphed line.

1093_Slop Line Graph1.png

13. If y varies directly with x, and y = 110 when x = 100, find the constant of variation k.

14. The following pie chart represents the results of a survey about whether people in a certain town have cats or dogs as pets.

737_Pie chart for results of a survey.png

What percentage of the people have only cats or only dogs?

15. The line graph below shows the number of stray dogs in a certain city for the years listed.

1816_Number of stray dogs in a certain city.png

(a) Which year had the least amount of stray dogs?

(b) Between which two years did the greatest decrease in stray dogs occur?

16. A student earns $0.65 for each mistake she finds in a text. Sketch the equation of direct variation.

17. Find the slope and y-intercept.

8x + 5y = -50

18. Write the equation of the line with slope 4 and y-intercept (0, -5). Then graph the line.

19. Write the equation of the line with slope -1/2 and y-intercept (0, 3). Then graph the line.

20. A line passing through (10, 4) and (-3, y) is perpendicular to a line with slope -13/14. Find the value of y.

A) -13
B) -11
C) -10
D) -8

21. An airplane covered 15 miles of its route while decreasing its altitude by 31,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]

22. Determine which two equations represent parallel lines.

(a) y = (5/4) x + 3 (b) y = (4/5)x + 7 (c) y = (4/5)x - 7 (d) y = -(5/4)x + 7

23. Determine which two equations represent perpendicular lines.

(a) y = 9x - 9 (b) y = (1/9) x + 9 (c) y = -(i/9) x + 9 (d) y = (1/9) x - 9

24. Write the equation of the line that passes through point (0, -8) with a slope of (4/5).

25. Write the equation of the line passing through (6, 37) and (1, 12).

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