# Intermediate Algebra

**Course Description:
**Through this course students develop various concepts of Algebra.

Students will solve linear , quadratic, rational, and radical equations ; graph

linear equations and inequalities in one variable ; graph linear equations in

two variables; 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 appropriate 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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