Download Part II #31 #33 1. Solve the following absolute

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