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Part II
#31
Solve the following absolute value inequality and graph the solution set on the
real number line: x  2  7
Solve the following absolute value inequality and graph the solution set on the
real number line: x  3  14
Solve the following absolute value inequality and graph the solution set on the
real number line: 2 x  3  9
Solve the following absolute value inequality and graph the solution set on the
real number line: x  5  7
Solve the following absolute value inequality and graph the solution set on the
real number line: 3x  5  7
#32
For the equation 2 x  6x  7  0 , find a) the sum of the roots and b) the product
of the roots.
For the equation x 2  6x  5  0 , find a) the sum of the roots and b) the product of
the roots.
For the equation 3x 2  8 x  3  0 , find a) the sum of the roots and b) the product
of the roots.
For the equation 2 x 2  12 x  15  0 , find a) the sum of the roots and b) the
product of the roots.
For the equation 3x 2  6 x  5  0 , find a) the sum of the roots and b) the product
of the roots.
2
Write in simplest form:
Write in simplest form:
Write in simplest form:
Write in simplest form:
Write in simplest form:
2
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2
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2
#33
72  3 32 .
108  3 48 .
50  3 18 .
20  3 80 .
63  3 28 .
#34
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Solve the equation for x, show all work:
Solve the equation for x, show all work:
Solve the equation for x, show all work:
Solve the equation for x, show all work:
Solve the equation for x, show all work:
#35
sin(4 x  8) 0  cos(2 x  30) 0
sin(3x  6) 0  cos(5x  10) 0
tan(10x  20) 0  cot( x  30) 0
tan(6x) 0  cot(3x) 0
sin(10x  20) 0  cos(20x  50) 0
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Factor the following expression completely:
Factor the following expression completely:
Factor the following expression completely:
Factor the following expression completely:
Factor the following expression completely:
x 3  6x 2  40x .
x  49 x 3 .
2 x 3  8x 2  90x .
6x 3  x 2  12 x .
5x 3  15x 2  50 .
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