Emily Duval
MTH 111 College Algebra
Practice Exercises
Evaluate
1. Factor a common factor out of 4x3 - 6x2 + 12x .
2. Factor a common factor out of 6x3y2 + 15x2y5 -30x7y4z .
3. Factor 16y2 - 9 as a difference of two squares.
4. Factor 4x16 - 9 y6 as a dif
MTH 122 Rational Functions Practice Problems and Solutions
Problems:
Pr 1 Solve the inequality
.
Pr 2 Solve the inequality
.
Pr 3 Solve the inequality
Pr 4 Solve the inequality
Pr 5 Solve the inequality
Solutions:
Sol 1 Factoring gives
number line, and us
MTH 122 Algebraic Simplification Practice Problems and Solutions
Problems:
. 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
Solutions:
Sol 1
.
Sol 2
.
MTH 122 Lines Practice Problems and Solutions
Problems:
Pr 1 Find an equation of the line which passes through the point
and has y-intercept 5.
Pr 2 Find an equation of the line which passes through the points
and
.
Pr 3 Find an equation of the line which
MTH 122 Inverse Functions Practice Problems and Solutions
Problems:
Pr 1 If
, find a formula for
Pr 2 If
.
, find a formula for
Pr 3 If
.
, find a formula for
Pr 4 If
and find the domain for
, find a formula for
.
Pr 5 Show whether or not the function
Pr
MTH 122 Linear Inequalities and Inequalities with Absolute Values Practice Problems
and Solutions
Problems:
Pr 1 Solve the inequality
.
Pr 2 Solve the inequality
.
Pr 3 Solve the inequality
Pr 4 Solve the inequality
Pr 5 Solve the inequality
.
.
.
Pr 6 So
MTH 122 Simplifying Difference Quotients Practice Problems and Solutions
Problems:
Pr 1 Find and simplify
for
.
Pr 2 Find and simplify
for
.
Pr 3 Find and simplify
for
.
Pr 4 Find and simplify
for
.
Pr 5 Find and simplify
for
Solutions:
Sol 1
.
Sol 2
.
.
MTH 122 Quadratic Functions Practice Problems and Solutions
Problems:
Pr 1 Find the vertex of the parabola
.
Pr 2 Find the maximum value of the function
Pr 3 Find a quadratic function
has a minimum value of -12.
which has 5 and 1 as the x-intercepts of it
MTH 122 Roots and Rational Exponents Practice Problems and Solutions
Problems:
Pr 1 Simplify the expression
.
Pr 2 Solve the equation
.
Pr 3 Solve the equation
.
Pr 4 Solve the following equations:
a)
. b)
.
Pr 5 Find all values of
for which the equation
MTH 122 Logarithms and Exponents Practice Problems and Solutions
Problems:
Pr 1 Simplify the expression
.
Pr 2 Simplify the expression
.
Pr 3 If
and
, find
.
Pr 4 Use properties of logarithms to rewrite
as the logarithm of a single expression.
Pr 5 Simpli
Emily Duval
MTH 111 College Algebra
Practice Exercises
Evaluate
1. Factor a common factor out of 2x3 - 1x2 + 12x .
2. Factor a common factor out of 1x3a2 + 15x2a5 -30x7a2z .
3. Factor 11a2 - 9 as a difference of two squares.
2. Factor 2x11 - 9 a1 as a dif
Emily Duval
MTH 111 College Algebra
Practice Exercises
Evaluate
Functions
1. The following example represents a correspondence f from A to B. Determine whether the
associated statements are true or false.
i) One element of A corresponds to two elements of
MTH 122 Functions: Domain, Range and Composition Practice Problems and Solutions
Problems:
Pr 1 Find the domain and range for
.
Pr 2 Find the domain and range for
.
Pr 3 Find the domain and range for
Pr 4 Find the domain for
Pr 5 If
and
Pr 6 If
Pr 7 If
.