Los Angeles Mission College Compute the Values Algebra Questions

DescriptionEXAM 4
Please show your work in the space provided. No Credit will be given
for answers without supporting work. Instructor: Andy Pogosyan
1) Divide using the long division method
x3 + 6 x 2 + 4 x − 7
x+5
2) Use synthetic division to divide.
3 x3 + 7 x 2 − 4 x + 12
x +1
3) Solve each equation and check your answer.
1
3x
2
− 2
=
x − 4 x − 16 x + 4
4) Solve the equation for the specified variable.
A=
h( a + b)
for h
2
5) Hoses A and B together can fill a swimming pool in 6 hours. If hose A
alone takes 10 hours to fill the pool, how long would it take hose B to fill
the pool?
6) Multiply.
2
1
4
6 x 3 (2 x 3 − 7 x 3 )
7) Simplify
1
3
x ⋅x
4
3x 3
6
3
Perform the indicated operation.
8) ( 2 7 − 3 5 )( 7 + 2 5 )
9) 4 x3 + 2 x 9 x − 3 16 x3
10) Rationalize the denominator.
a)
12
5x
b)
8
3+ 5
11) Find the distance between two pair of points and a midpoint of the
line segment.
( −2, −4 ) and ( 5, −18)
12) Solve.
x− x−2 =
4

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