# Intermediate Algebra Course Competencies

__ Course Description: __Through this course the
students develop the concepts of algebra. Students will solve linear, quadratic,
rational, and radical equations; graph linear equations and inequalities in one
variable; solve and graph systems of linear equations and inequalities in two
variables; simplify rational expressions; simplify expressions containing
rational exponents; simplify complex numbers; solve related applications.

__ Prerequisites: __MAT 0024 or MAT 0020 with a
grade of S or placement test score.

__ Credits:__ 3

**COURSE COMPETENCIES:**

**Competency 1: The Student will demonstrate knowledge of
the slope of a Line
by:**

a. Determining the slope of a line given two points that lie on

the line.

b. Determining the slope and intercept(s) of a line given its equation.

c. Determining the slope of a line from a graph.

d. Finding the slope of a line that is parallel to a given line.

e. Finding the slope of a line that is perpendicular to a given line.

**Competency 2: The Student will demonstrate knowledge of
linear equations
and inequalities in two variables by:**

a. Solving literal equations .

b. Finding an equation of a line given two points .

c. Finding an equation of a line given a point on the line and information about the slope of the line.

d. Writing an equation of a line in standard form.

e. Writing an equation of a line in slope- intercept form .

f. Graphing linear equations in two variables using the slope and y-intercept of the line.

g. Graphing linear inequalities in two variables.

**Competency 3: The Student will demonstrate knowledge of
equations in two variables by:**

a. Solving direct variation problems.

b. Solving inverse variation problems.

**Competency 4: The Student will demonstrate knowledge of
systems of
linear equations by:**

a. Solving a system of linear equations in two variables

using the addition method.

b. Solving a system of linear equations in two variables

using the substitution method .

c. Solving a system of linear equations and inequalities in

two variables by graphing.

d. Solving applications involving systems of linear equations.

**Competency 5: The Student will demonstrate knowledge of
rational expressions
and equations by:**

a. Performing operations of addition, subtraction ,

multiplication and division on rational expressions.

b. Simplifying complex fractions .

c. Solving equations involving rational expressions including literal equations.

d. Dividing polynomials .

**Competency 6: The Student will demonstrate knowledge of
radicals and rational
exponents by :**

a. Adding, subtracting, multiplying, and dividing expressions involving radicals

b. Simplifying expressions containing rational exponents.

c. Applying the properties of exponents to expressions with

rational exponents

d. Solving radical equations

**Competency 7: The Student will demonstrate knowledge of
complex numbers by :**

a. Knowing the meaning of i.

b. Writing the square root of a negative number in terms of i .

**Competency 8: The Student will demonstrate knowledge of
quadratic
equations by:
**a. Solving quadratic equations by factoring.

b. Solving quadratic equations by the square root method.

c. Solving quadratic equations by the quadratic formula .

d. Solving quadratic equations by completing the square.

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