Algebra
Name: ________________________
Review 12
1. Find the slope of the line that contains (6, 5) and (3, 1).
2. Find the slope of the line described by 4x + y = –4.
3. Tell whether the relation is a direct variation. Explain.
x
y
–9
–63
5
35
9
63
4. Graph the line with the slope
3
2
and y-intercept 3.
Block 2
5. Write the equation that describes the line in slope-intercept form.
slope = 4, point (3, –2) is on the line
6. Write the equation 2x + 5y = −20 in slope-intercept form. Then graph the line described by the equation.
2
7. Graph the line described by the equation y − 5 = − 3 (x − 6).
8. Write an equation in slope-intercept form of the line with slope −2 that contains the point
(4, 5).
Block 3
9. Find the x- and y-intercepts.
10. Find the x- and y-intercepts of −2x − 5y = −20. Graph the line.
11. Find the slope of the line.
Block 4
12. Graph a scatter plot using the given data.
x
y
3
6
6
8.5
5
9
2
4.5
7
9
4
6.5
8
10
1
4.5
13. Describe the correlation illustrated by the scatter plot. Classify as positive, negative, or no correlation.
14. Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and
the next three terms in the sequence.
–3, 2, 7, 12, 17, . . .
15. Find the 21st term in the arithmetic sequence 7, 10, 13, 16, 19,...
Block 5
16. For f(x) = −9x − 9 , find f(x) when x = –1.
17. Graph −x − y = −1 for the domain D: {2, 1, 0, –1, –2}.
18. Graph the function y = −x + 2 .
19. Use the graph of the function f(x) = 2x + 1 to find the value of y when x = −2.
Block 6
20. Extra Credit
The points (9, –3) and (2, 1) are on a line. Find the intercepts to the nearest tenth.
21. Extra Credit
The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The
costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for
the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a
truck whose tank size is 26 gallons.
Tank size (gal)
(x)
8
16
17
Total cost ($)
f(x)
17.95
33.15
35.05