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Slope

Last updated over 6 years ago
36 questions

NOTEBOOKS AND PENCILS OUT!

Let's begin by remembering some old concepts. Dust off those noggins, here come some ancient problems. Can you remember? Use your notes!

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Which expressions do not have a value of 3?

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In your notebook, evaluate the expression below? Write the solution in the space below.

−4 × (−6) − (−5)

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The graph below represents which inequality?

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Solve the following equation:

6 - 2p = -48

Ok, now let's hit the slopes folks!

Ok... we're not ready for those slopes yet. But we are prepared for these!

Before we start shreddin' the gnar pow... (that means skiing fresh soft snow), let's get reaquainted with the coordinate plane. If you'd like a little refresher on plotting points or just general info, watch the following video.

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Ok slick, did you watch the video above? No? Well, you better get to watching. What's that? You think you can do the following activity right now? Be my guest hot shot! Click on the following link:

Plotting Points

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Ok, this one's a little trickier! How good of a problem solver are you? Let's find out:

Rates on a Coordinate Plane

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After looking at the definition and graph above, write a definition of slope in your own words. Use language that is familiar to you. Try coming up with your own "rule" for slope.

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Please right the above equation into your notes. After that, how would you explain this concept to your mom? Be specific!

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How do you find the slope of the green line?

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What is the slope of the green line?

1

What is the slope of the green line?

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What is the slope of the blue line?

If you're feeling a little lost about slope, watch the following two videos. Don't worry, they are short! If you feel good about it, try the excercises after the videos.

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Test your slope skills here bra:

Slope from a Graph

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Which of the following lines has a slope of 1?

1

Which of the following lines has a slope of 3?

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Which of the following lines has a slope of 1/3?

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Which of the following lines has the greatest slope?

1

The table below shows your earnings for babysitting. Plot the points from the table onto the graph. Then connect those points with a straight line.

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What is the slope of the line that you graphed from the babysitting data? Remember, always reduce a fraction to its simplest form.

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What does the slope mean from the babysitting table? Interpret it in your own words.

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A section of a roller-coaster track rises 24 m and a horizontal distance of 18 m. What is the slope of this section of track? Write your answer as a fraction but do not include units.

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A ladder leaning against a building reaches 15 feet above ground while the foot of the ladder is 3  feet from the building.

a) Fill in the picture below with the relevant information.

b) What is the slope of the ladder leaning against the wall? Write your answer below the picture.

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A ladder leaning against a building reaches 24 feet above ground while the foot of the ladder is 7 feet from the building. Overnight, the top of the ladder slipped so that it is now only 20 feet above ground while the foot of the ladder is 15 feet from the building.

a) Draw a picture to represent the situation in the space provided bellow.

b) How did the slope of the ladder change?

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Graph the line that passes through the following two points:

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Let's ramp up the fun a little bit. Graph the line that passes through the following two points:

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The graph shows the amount of money you and a friend are saving for a camping trip.
Find the slope of the green line.

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The graph shows the amount of money you and a friend are saving for a camping trip.
Find the slope of the blue line.

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The graph shows the amount of money you and a friend are saving for a camping trip.
How much more money does your friend save each week than you?

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The graph shows the amount of money you and a friend are saving for a camping trip.
The camping trip costs $165. How long will it take you to save enough money?

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What is the slope of a line that passes through the points (2, 0) and (5, 0)?

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A line has a slope of 2. It passes through the points (1, 2) and (3, y). What is the value of y ?

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CHALLENGE!!
On April 14, 1981, the first American space shuttle, Columbia, returned to Earth. At one point in its re-entry, it was traveling at approximately 1080 km/h and dropping 4200 m/min. What was the slope of the re-entry path to two decimal places?

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Luke rented a polishing machine for a $15.00 fee plus $5.00 per hour. He made a graph, as seen above, of the total cost (y-axis) versus the number of hours rented (x-axis). What does the y-intercept of this graph represent?

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Think you're hot stuff now? Well, use a graph to try and answer these questions. Good luck Tex!

Slope from two points

1

Lisa has the job of buying doughnuts for a school fundraiser. A local bakery sells doughnuts at the following prices listed below on the left. Answer each question next to the assigned number.
  1. Draw a graph for the information in the table.
  2. What is the slope of the graph?
  3. What is the real world meaning of the slope?
  4. What is the y-intercept of the graph?
  5. Suggest three reasons why the y-intercept is not equal to zero?