Download Test 1 Review

Math 1304
Sections 1.2 through 2.3
Review for Test #1
1. Page 45 (13 – 30); Page 46 (77 – 90)
a. Factor completely:
b. Simplify:
2 x 2  1 (4)3x  53 (3)  3x  54 (4 x)

5x3 + 10x2 – 20x – 40
2. Page 46 (65-68)
2 x  2h  2 x
h
Rationalize the numerator:
3. Page 45 (31-48) Simplify:
or Page 60 (13, 14) Solve:

7
3x
5


2
x  2  x  2
x
3x
1
4

 2
x2 x2 x 4
4. Page 62 (21-38) Be sure to check answers where necessary.
1
1
a. 2 y 3  3 y 6  1  0
b.
3 x  x  3
2 x
2

1
2
5. Page 74 (1-14, 19-26) Complex Numbers
a. Multiply (8 + 2i)(7 – 3i)
b. Divide
3  5i
2  7i
6. Page 75 (39 – 54) You must know the Quadratic Formula: If ax2 + bx + c = 0, then x =
Solve for all values of x:
 b  b 2  4ac
2a
4x2 + x + 3 = 0
7. Pages 85-86 (7 – 50) Solve each inequality. Graph the solution on a number line. Write the solution in
interval notation.
x 2  7 x  12
0
x5
8. Page 117 (35 – 48)
Write the equation of the circle whose diameter has endpoints (-5, 2) and (3, 6).
9,10. Page 133 (21 – 36)
Write the equation of the line through (-3, 5) and parallel to x + 3y = 1
Write the equation of the line through (-3, 5) and perpendicular to x + 3y = 1
Write the equation of the line tangent to the circle (x – 3)2 + y2 = 25 at the point (1, 3)