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Chapter 2 Review
For problems 1 and 2, find each value if f  x  
6
x2  2
and g(x) 
x4
x2
1. f ( 1)
2. g (6)
For problems 3 and 4, state whether each equation is linear. Write "Linear" or "No."
3. y 
3
x4
2
4. y  x  2
5. Write the following equation in slope intercept form:
7x  y  12
6. Write an equation of a vertical line with x intercept = 1.
7. What is the slope of the line that passes through ( 5,4) and (5,2) .
8. What is the equation for a line that passes through ( 1, 2) and has slope 3 .
9.
What is the y intercept of a line whose equation is 2x  3y  9 .
10. What is the slope of the line whose equation is: 2x  4y  7 .
11. For which equation is the graph a horizontal line.
A. x  5
C. y  x  2
B. y  x
D. y  5
12. Find the graph of –5x + 10y = 20
y
y
A.

C.











x
x









x































x





D.



y
y

B.



13. What is the y-intercept of the line whose equation is x + 3y = 2 ?
A. 2
B.
1
2
C.
3
2
D.
2
3
14. What is the slope of the line passing through (2, 6) and (–7, 8).
A.

2
9
B. 
9
2
C. 
2
5
D. 
5
2
15. For which pair of equations are the lines parallel?
5x  3y  15
A.
3x  3y  15
x  2y  7
B.
x  2y  10
C.
y  2x  3
y  3x  2
y  3x
D.
1
y x
3




16. For which pair of equations are the lines perpendicular?
2x  1  y
A.
1
y x
2
3x  2y  1
B.
2y  3x  8
y  2x
C.
y  2x
2x  y  10
D. 1
x  y  10
2
17. Which inequality is graphed at the right?
A.
2
y   x2
3
2
C. y   x  2
3
B. y 
2
x2
3
2
D. y   x  2
3
18. Which inequality is graphed at the right?
A.
y
1
x
4
C. y  
1
x
4
B. y  
1
x
4
D. y  
1
x
4
For #19 - 20, write an equation for the line that satisfies each of the given conditions:
19. has a slope of
A.
y
3
x7
4
3
and passes through (–8, 1).
4
B. y 
3
x 5
4
C. y 
3
x5
4
D. y 
3
x2
4
C. y 
5
3
x
4
2
D. y 
5
7
x
4
2
20. passes through (– 2, 1) and (–6, –4).
A.
y
5
5
x
4
2
B. y 
5
3
x
4
2
For problems 22 and 23, graph each equation.
22. y  
1
x2
4
23. y  x
For problems 24 and 25, graph each inequality.
24. y  4x  5
25. 3x  4y  12