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Algebra 1

1.10.5 Practice

Algebra 11.10.5 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 - 4, use the problem and graph below.

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

Line on coordinate plane, origin O. Horizontal axis from 0 to 44 by 4’s, days since bag was bought. Vertical axis 0 to 64 by 8’s, ounces of cat food. Line passes through 0 comma 56 and 24 comma 16.

1. How many ounces of food were in the bag 12 days after Andre bought it?
2. How many days did it take for the bag to contain 16 ounces of food?
3. How much did the bag weigh before it was opened?
4. Approximately many days did it take for the bag to be empty?

For 5 - 7, use the problem and graph below.

A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles. Graph of a line. Elevation, feet. Distance along trail, miles.

5. What is the slope of the graph?

6. What does the slope tell us about this situation?

  1. Only the elevation (feet).
  2. Only the distance along the trail (miles).
  3. The change in miles as the elevation increases.
  4. The change in elevation as the hikers hike more miles.

7. Enter the equation that represents the relationship between the hikers' distance from the start of the trail, x , and their elevation, y , using the equation editor.


8. A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5 s + 3.5 c = 21 represents the relationship between sheets of stickers, s , packs of cardstocks, c , and the dollar amount a kindergarten teacher spent on these supplies.

What does the vertical intercept, (0,6), mean in this situation?

Line on grid, origin O. Horizontal axis, 0 to 18 by 2’s, sheets of stickers. Vertical axis, 0 to 10 by 2’s, packs of cardstock. Line passes through points 0 comma 6, 7 comma 3, and 14 comma 0.
  1. 14 sheets of stickers and 6 packs of cardstock were bought.
  2. 7 sheets of stickers and 3 packs of cardstock were bought.
  3. 6 sheets of stickers and 0 packs of cardstock were bought.
  4. 0 sheets of stickers and 6 packs of cardstock were bought.
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