Ch. 4, Part 1 – Linear Functions
Alg. 1 Test Review
Name __________________________
Give the domain and range for each relation.
1. (-4, 5), (-2, 3), (0, 1), (2, -1)
2.
x
y
0
0
1
-1
4
-2
1
1
4
2
Tell whether each relation above is a function. Explain.
3.
4.
Tell whether the given ordered pairs satisfy a linear function. Explain.
5.
x
-3
-1
1
3
6. (-2, 5), (-1, 3), (0, 1), (1, -1), (2, -3)
y
3
1
1
3
Write each equation in standard form.
7. y = -5x + 1
8. 4y = 7x
9.
x2
= -3y
2
Find the x- and y- intercepts of each linear equation. Then, graph the line.
11. 3x – y = 3
12. -2x + y = 1
10. 2x = ½ y + 3
13. 6y = 9x + 18
14.
1
1
x=1+ y
3
4
Find the slope of each line.
15.
16.
17.
Find the slope of the line that contains each pair of points. (Hint: use the slope formula)
18. (1, 2) and (2, -3)
19. (4, -2) and (-5, 7)
20. (-3, -6) and (4, 1)
21. (
1
3 5
, 2) and ( , )
2
4 2
Find the slope of the line described by each equation. (Hint: use the intercepts)
22. 4x + 3y = 24
23. y = -3x + 6
24. 3x = y + 3
25. y + 2 = 7x
Write each equation in direct variation form. Then, identify the constant of variation.
26. y = -6x
27. x – y = 0
28. y + 4x = 0
29. 2x = -4y
30. The value of y varies directly with x, and y = -9 when x = 2. Find the equation of variation. Then, find y when x = 3.
31. The value of y varies directly with x, and y = 4 when x =-10. Find the equation of variation. Then, find x when y = -14.
32. The table shows the amount of water in a pitcher at different times.
Graph the data and show the rates of change. Between which two
hours is the rate of change the greatest?
Time (h)
Amount (oz)
0
60
1
50
2
25
3
80
4
65
5
65
6
65
7
50
33. The change in water level of one portion of the Mississippi River is about
0.3 ft per day. If the water level starts at 17 feet and falls for x days, the
level is represented by the function f (x)  17  0.3x.
a) Graph the function.
b) Find the intercepts.
c) What does each intercept represent?