8th grade Pre Algebra Study Guide

  1. Name three ways to identify a function and explain.
  1. What is the domain? What is the range?
  1. Draw an example of a LINEAR Function on a graph. Draw an example of a function on a graph. Draw an example of a relation on a graph.
  1. What is the slope intercept equation? Explain what each letter represents.
  2. Give an example of a table that is a function and give an example of a table that IS NOT a function.

6.From the tables in problem #5 , list the domain and the range of each table.

  1. List the four types of slope and draw an example of each.
  1. What is Pythagorean’s Theorem? What is the difference between the legs and the hypotenuse? Give an example of solving for a missing leg. Give an example of solving for the hypotenuse.

9 What is the converse of Pythagorean’s Theorem? Give an example of three measures that are a right triangle and three measures that are NOT a right triangle.

10 What is the difference between slope and constant rate of change?

11. How do you find the rise and run of a line on a graph?

12. How do you find the slope of a line of you are only given a set of point?

13. What is the slope of a line that passes through the point (2, -4) and (1,-6). Show your steps

14. What is initial value? Where would it be located on a graph?

15. How do you write a slope intercept equation from a graph?

16. #1 Graph the equation y = -3x + 4 # 2 Graph the equation y = 1x

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17. Write an equation for the following graph. (slope intercept form)

18. What is a two way table? What is the difference between a two way frequency table and a relative total frequency table?

Use the following information to create a frequency table:

One hundred 8th grade students were asked which sport they liked watching on tv. Twenty boys like baseball, ten boys like basketball and twenty boys like watching football. Of the girls surveyed thirty like to watch football, twenty five liked to watch baseball and fifteen liked to watch basketball.

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Use the two way frequency table above and create a Total RelativeFrequency Table

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21. Graph the points (6,-1) and (1, -6). Use Pythagorean’s Theorem to find the distance between these two points. Show all steps.

22. Use the following information to create a scatter plot and then answer the questions.

Tempreature Versus Ice Cream Cones Sold

Temperature / 85 / 87 / 91 / 95 / 88 / 83 / 80 / 82 / 88 / 90 / 93 / 85 / 87 / 83
Cones
sold / 76 / 77 / 70 / 100 / 91 / 79 / 67 / 73 / 78 / 87 / 92 / 95 / 85 / 68

23. Does the scatter plot represent a clustering of data points?

24. Is there a relationship between the temperature and the number of ice cream cones sold each day? Explain what the relationship is.

25. Are there any outliers in the data? Is so what are the ordered pairs?

26. What type of correlation does the scatter plot show?

27. Find the volume of the following shapes: Show all steps.