# 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.

5. Radicals and rational exponents.

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

containing rational exponents and radicals.

5-1 – Simplify a radical expression.

5-2 – Evaluate and simplify an expression containing rational exponents.

5-3 – Add or subtract radical expressions.

5-4 – Multiply radical expressions.

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: