2.1 Review Worksheet, Part 2 (continued)
Write the equation of each line in slope-intercept form. 9. parallel to =− − y x 7 and through (2, 3)
1 5
10. perpendicular to y = 3 x and through (0, 3)
2.1.5 Linear Inequalities in Two Variables Graph each inequality. 11. y ≥ 6 12. y < x + 4
>− − y x 2 5
13.
3
Graph each inequality using intercepts. 14. 4 x + 2 y ≥ 8
15. 3 x − 6 y < 12
16. Quarter page ads in the local papers cost $200 per day, and one minute ads on the local radio stations cost $500. Sheena’s Lawn Care has an advertising budget of $10,000. Let x be the number of quarter page ads in newspapers and y be the number of one minute radio ads. Write and graph an inequality for the advertising that Sheena’s Lawn Care can afford.
17. The rockets of a Mars probe require oxygen to lift off from the surface and return to Earth. Suppose the probe can produce 0.78 L of oxygen for every kg of water and 0.32 L of oxygen for every kg of carbon dioxide. At least 56 L of oxygen are needed. Let x represent the kg of water available and y represent the kg of carbon dioxide. a. Write and graph an inequality for the liters of oxygen that will be sufficient for liftoff.
b. If the probe collects 36 kg of water and 88 kg of carbon dioxide, will it be enough for liftoff?
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