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# Intermediate Algebra Online

COURSE
OBJECTIVES

At the end of the course, the student should have a working knowledge of the
following content areas:
1. Systems of equations.
2. Integral exponents and polynomials.
3. Linear and quadratic equations and linear inequalities.
4. Rational expressions and equations.
6. Introduction to functions.

Objective 1 The student will be able to solve systems of linear equations.
1-1 – Solve a system of 3 linear equations in 3 unknowns using the addition
or substitution method.
1-2 – Solve an application problem using a system of linear equations.

Objective 2 The student will be able to apply the laws of exponents and perform
operations using polynomials.
2-1 – Simplify an expression using the laws of exponents.
2-2 – Add, subtract and multiply polynomials.
2-3 – Divide a polynomial by a binomial using synthetic or long division.
2-4 – Factor polynomials by using various factoring techniques.
2-5 – Solve an equation by factoring.
2-6 – Solve an application problem that involves factoring.

Objective 3 The student will be able to solve linear and quadratic equations and
linear inequalities.

3-1 – Solve an absolute value equation.
3-2 – Solve a linear inequality and show the solution set in interval
notation.
3-3 – Solve a compound linear inequality and show the solution set in
interval notation and graphical form.
3-4 – Solve an absolute value inequality and show the solution set in
interval notation and graphical form.
3-5 – Solve a quadratic equation by completing the square.
3-6 – Solve a quadratic equation by using the quadratic formula. The
following formula must be memorized: 3-7 – Solve an application problem that involves the Pythagorean Theorem.
The following formula must be memorized: Objective 4 The student will be able to simplify expressions and solve equations
containing rational expressions.

4-1 – Multiply or divide two rational expressions.
4-2 – Add or subtract two rational expressions.
4-3 – Simplify a complex fraction.
4-4 – Solve an equation containing rational expressions.
4-5 – Solve an application problem modeled by an equation that contains
rational expressions.
4-6 – Solve a formula for a specific variable.

Objective 5 The student will be able to simplify expressions and solve equations

5-1 – Simplify a radical expression.
5-2 – Evaluate and simplify an expression containing rational exponents.
5-5 – Simplify a radical expression by rationalizing the denominator.
5-6 – Solve equations using even- and odd-root properties.
5-7 – Solve an equation containing radicals.
5-8 – Solve an equation containing rational exponents.
5-9 – Add, subtract, multiply or divide complex numbers.
5-10 – Find the distance and midpoint between two given points. The
following formulas must be memorized: Objective 6 The student will be able to understand the basic language and notation of
a function.

6-1 – Find the equation in both standard and slope-intercept form of a
straight line through two given points. The following formulas must
be memorized: 6-2 – Find the equation in both standard and slope-intercept form of a
straight line that is parallel or perpendicular to a given line through a
given point.
6-3 – Determine whether a given equation or graph is a function or a
relation.
6-4 – Determine the domain and range of a function or relation.
6-5 – Evaluate or simplify an expression from function notation.
6-6 – Graph a parabola, stating the vertex, axis of symmetry, domain and
range, intercepts, and minimum/maximum. The following formula
must be memorized: 6-7 – Graph a circle by first finding its center and radius.
6-8 – Solve an application problem involving quadratic functions.
6-9 – Set up and solve a variation problem. The following formulas must be
memorized: 