Mixed Review of Algebra Skills
Algebraic Simplification
In the following problems, the term "simplify" indicates to eliminate compound fractions, factor
as much as possible, put terms over a common denominator when feasible, and avoid negative
exponents.
.
Pr 1 Simplify the expression
. Pr 2 Simplify the expression
.
Pr 3 Simplify the expression
Pr 4 Simplify the expression
Pr 5 Simplify the expression
Pr 6 Simplify the expression
Pr 7 Simplify the expression
Pr 8 Simplify the expression
Solve the following inequalities.
Pr 1 Solve the inequality
Pr 2 Solve the inequality
Pr 3 Solve the inequality
Pr 4 Solve the inequality
Solve for x in the following equations.
Pr 1
5  7 x  16
Pr 2
2x  3  5  x
Pr 3
1
2
Pr 4
5
2

x x3
( x  3)  x  17  3(4  x)
Factor the following expressions
Pr 1
x 2  10 x  21
Pr 2
x 2  8 x  105
Pr 3
4 x 2  11x  3
Pr 4
 2 x 2  7 x  15