MATH 98: Elementary Algebra

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Class Program

Mathematics

Credits

Weekly Contact Hours

Course ID

091730

Meets Degree Requirements For

Not Intended for Transfer, Typically Numbered Below 100.

Description

Topics include solving linear, quadratic (by factoring) and rational equations; solving a linear system of equations; manipulating polynomials (adding, subtracting, multiplying and dividing); and using exponent properties to simplify expressions. Students will also graph linear equations in two variables, calculate slopes, and find linear functions.

Grading Basis

Graded

Prerequisites

MATH 93 or higher with a grade of C (2.0) or better, ABE 41 with a B- (2.7) or better, or appropriate placement recommendation

Course Learning Outcomes

Solve equations of the following types: linear, quadratic (by factoring), rational.

Solve a 2 X 2 system of linear equations analytically and graphically.

Set up and solve word problems for linear, quadratic and rational equations.

Set up and solve word problems for a 2X2 system of linear equations.

Graph linear equations.

Find the equation of a line given two points, a point and a slope, and/or the graph of a line.

Find the equation of a line from information given in a word problem.

Add, subtract, multiply and divide polynomials.

Factor polynomials.

Add, subtract, multiply and divide rational expressions.

Use unit analysis to solve word problems.

Convert between decimal and scientific notation.

Multiply and divide numbers written in scientific notation.

Use exponent properties through negative exponents to simplify expressions.

Continue on into the next appropriate course.

Use appropriate function vocabulary.

Identify the domain and range of a function given as an equation and as a graph.

Core Topics

Review: Unit Analysis
Review: Solve single variable linear equations & inequalities, use interval and set-builder notation for solutions to inequalities
Review: Determine equations of lines.
Review: Exponent properties, Add/Subtract polynomials, scientific notation
Multiply polynomials.
Divide polynomials by monomials & binomials of form (x – a).
Factor polynomials: GCF, factor by grouping, trinomials, difference of squares, sum & difference of cubes.
Solve quadratic equations by factoring.
Add, Subtract, Multiply, Divide, Reduce rational expressions.
Solve rational equations.
Solve a 2 X 2 system of linear equations,
1. Review graphically
2. Algebraically
Set up and solve system of linear equation applications.
Set up and solve linear, quadratic and rational applications.
Introduce function notation and vocabulary: f(x), domain, range, independent and dependent variables.
Identify domain and range from graph and equation.
Optional: Solve systems of linear inequalities.
Optional: Matrices
Optional: Systems of 3X3 linear equations