Name: ______Date:______
Mid-Chapter 2 Review Packet
1. What is the set of all x-coordinates of the ordered pairs of a relation?
2. What is the set of all y-coordinates of the ordered pairs of a relation?
3. What is the ratio of the change in y-coordinates to the change in x-coordinates?
4. What method can be used to determine if a given graph is a function?
5. If a line has a negative slope, describe what it is doing.
6. If a line has a positive slope, describe what it is doing.
7. What is standard form?
8. What is slope-intercept form?
9. What is the slope of a horizontal line?
10. What is the slope of a vertical line?
11. Plot the following points on the coordinate plane. Label the point using the assigned letter.
12. Write the ordered pairs that represent the points.
13. Label the parts of the coordinate plane using the following terms:
14. State the domain and range and decide if it is a relation or a function.
{(2, 3) (4, 3) (-5, 1) (0, 4)} Domain:
Range:
15. State the domain and range and decide if it is a relation or a function.
16. State the x-intercept(s) and y-intercept(s) and decide if it is a relation or a function.
17. Use the vertical line test to decide if the following are functions
Evaluate the function for the given value.
18. f(x) = 2x3 – 8x – 1
f(-1) =
19. f(x) = -2x2 + x – x3
f(4) =
20. Given f(x) = -5x – 4.
x / f(x)5
-4
2
1
a. Complete the table and graph.
b. State the domain and range.
Domain: Range:
c. Is it a relation or function
Find the slope for the given points. Is the line rising, falling, horizontal, or vertical?
21. (-1, 4) and (-1, -6)
22. (-3, 5) and (-1, 7)
23. (-2, 5) and (3, 6)
24. (5, 2) and (-3, -7)
Graph the following on the given coordinate plane
25. y = -2x + 3
m = ______
b = ______
26. y = 4x - 7
m = ______
b = ______
27. y = ½x - 1
m = ______
b = ______
28. 3x + 4y = 12
x y
Name the x-intercept ______
Name the y-intercept ______
(Remember they should be coordinates)
Does the graph have a positive or negative slope? ______
29. -5x + 3y = -15
x y
Name the x-intercept ______
Name the y-intercept ______
(Remember they should be coordinates)
Does the graph have a positive or negative slope? ______
Write the equations for the graphs below.
24. 25.
26. Find the x and y intercepts of y = -9x + 15 x intercept:
y intercept:
Rewrite the following linear equations into standard form:
27. y = 3x – 4
28. y = ½x + 5
29. y = -¼x – 9
30. y = 56 x - 23
Rewrite the following linear equations into slope-intercept form:
31. 5x – 2y = -20
32. 2x + 6y = -18
33. 7x + 14y = 2
34. 3x - 2y = 6
Solve the following equations (Show your work)
35. 4a + 12 = 32
36. -8b – 18 = -74
37. 2g – 10 = 6g + 26
38. 7d + 3 = -3(d – 11)
39. A cup of soup was heated in the microwave to 98oC. Five minutes later, the soup cooled to 67oC. Find the average rate of change over this five minute interval.