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College Algebra: CH#1 Graphs and Circles Review
In problems 1 - 8, choose the one alternative that best completes the statement or answers the question.
1. The distance between the two points (-4, 3) (-8, 2)
A) 13
B) 17
C) 21
D) 17
E) none of the above
2. Find the midpoint (x, y) of the line segment joining the
points (2b, 6) and (-4, 2).
A)  b  2, 3 

2
B) b  2,4 
C)  b  2, 3 

2
D) 2b,4 
E) none of the above
2. ________
1. ________
3. The general form of the equation of the line with
slope = 2, containing the point (-1, -4).
A) 2x  y  2
4. List the intercepts for the graph of the equation
y  4  x 3  60
A) (0, -4), (0, 4)
B) (-64, 0), (4, 0)
C) (0, -64), (4, 0)
D) (4, 0), (-4, 0)
E) none of the above
B) 2x  y  2
C) 2x  y  2
D) 2x  y  2
E) none of the above
4. ________
3. ________
6. The general form of the equation of the line
perpendicular to y = 3x - 2 containing the point (-2, 4).
A) 3x  y  10
B) x  3y  10
C) 3x  y  14
D) x  3y  14
E) none of the above
6. ________
7. The general form of the equation of the circle with
radius = 11 and center = (3, 1).
8. The Domain of k(x)  3x  2
A) x 2  y 2  6x  2y  1  0
A) x 
B) x 2  y 2  6x  2y  1  0
C) x 2  y 2  12x  2y  1  0
D) x 2  y 2  6x  2y  1  0
E) none of the above
7. ________
2
3
2
B) x 
3
C) x  0
3
D) x 
2
E) none of the above
8. ________
Determine the intercepts algebraically.
11. y  4x  2
12. 4x 2  y  4
Solve each equation algebraically.
17. x  1  x  2  5
3
7
13. y  2x 3  6x 2  56x
18. (4x  1) 2  3(4x  1)  18  0
19. x 3  2x 2  9x  18
Determine the equation of the line in (a) slope intercept, (b) point slope, and (c) general forms.
20. parallel to 4x  2y  6 and contains (-1, -2)
21. Perpendicular to 2x  3y  2 and contains (2, 3)
Determine the (a) standard and (b) general forms of the equation of the circle.
22. radius = 2 and centered at (-2, 3)
23. center at x intercept of 3x  2y  9 that contains (1,2)
Determine the center (x, y) and the radius of the following…
24. 3(x  2) 2  3y 2  9
25. x 2  y 2  6x  2y  9  0
26. 2x 2  2y 2  16x  10  0
27. 2x 2  2y 2  12x  8y  24  0
28. Find the equation of the line that connects the centers of the two given circle in GENERAL & Slope Intercept
forms. No answers involving decimals or mixed numbers will be accepted.
x 2  y 2  4x  10 y  8  0 and
x 2  y 2  8x  6y  1  0
29. Find ALL points (x, y) with x-coordinate of 1 that are 2 13 units away from the point (5, -3).