MATH 125 – Elementary Algebra
Summer 2010
Student Learning Outcomes:
Upon successful completion of the course, the student will be able to:
1. Simplify expressions involving real numbers, at the beginning algebra level.
2. Factor polynomials, at the beginning algebra level.
3. Solve equations in one variable, at the beginning algebra level.
4. Graph, solve, and interpret linear equations.
5. Model and solve real world applications.
Student Performance Objectives:
1a. Simplify numerical expressions using the order of operations.
b. Simplify expressions involving integer exponents.
c. Perform operations with polynomials.
d. Simplify rational expressions.
e. Simplify radical expressions.
2. a. Factor out the GCF.
b. Factor trinomials.
c. Factor a difference of two squares.
d. Factor by grouping pairs.
3. a. Solve linear equations.
b. Solve linear inequalities.
c. Solve quadratic equations by factoring.
d. Solve rational equations.
e. Solve square root equations.
4. a. Graph linear equations in two variables.
b. Graph linear inequalities in two variables.
c. Find equations of lines given information about the slope and/or points on the line.
d. Solve systems of linear equations in two variables.
5. a. Solve applications involving linear equations in one and two variables.
b. Solve applications involving quadratic equations.
c. Solve applications involving systems of equations.
d. Solve applications involving the rational equations.
SLO: Math 125
10/30/09
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Factoring Polynomials:
GCF
Difference of Two Squares
Trinomials with a=1 and a not equal to 1
Grouping in Pairs
Course Content Outline:
Real Numbers:
Add, Subtract, Multiply and Divide
Order of Operations
Properties of real numbers
Simplify radicals
Linear Equations and Inequalities in One
Variable:
Simplifying expressions
Solving linear equations
Solving linear inequalities
Graphing inequality solutions on the number
line
Applications
Linear Equations in Two Variables:
Graphing
x- and y-intercepts, and their interpretation
Slope and its interpretation
Slopes of parallel and perpendicular lines
Finding equations of lines
Slope-intercept form
Point-slope form
Standard form
Horizontal & Vertical Lines
Applications
Solving Systems of Linear Equations in Two
Variables:
Graphing
Substitution
Elimination
Applications
Rational Expressions and Equations:
Simplify
Add, subtract, multiply, and divide
Complex fractions
Solving rational equations
Ratios and Proportions
Applications
Roots and Radicals:
Simplify radical expressions with monomial
radicands
Add, subtract, multiply, and divide
Rationalize the denominator
Distance Formula (the distance between two
points)
Pythagorean Theorem
Solving square root equations
Quadratic Equations:
Solving by factoring
Solving using the square root property
Graph parabolas using a table of values
Applications
Exponents & Polynomials:
Integer Exponents
Add, subtract, multiply, and divide
Scientific Notation
SLO: Math 125
10/30/09
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