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Nov 28, 2023
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# MATH 060 Introduction to Algebra (5 credits)

Prerequisite Satisfactory placement test score or MATH 051 with a grade of at least 3.0 or MATH 054 with a grade of 2.0 or instructor permission.

Course Description
Basic operations with numeric and polynomial expressions solving linear equations, linear inequalities, systems of linear equations, and quadratic equations linear graphs applications.

Student Outcomes
1. Number Systems and Operations (Review topic)
a. Distinguish between the different Number Systems (Real, Rational, Integers, Whole, Natural, Irrational).
b. Perform basic operations with real numbers: addition, subtraction, multiplication, division, raising to powers, and evaluating square roots.
c. Evaluate numeric expressions using order of operations.

2. Algebraic Expressions
a. Simplify polynomial expressions using addition, subtraction, multiplication, division by monomials, combining like terms, and the order of operations.
b. Evaluate and simplify expressions involving integer exponents, including negative exponents and scientific notation.
c. Evaluate algebraic expressions with multiple variables.
d. Factor polynomial expressions using the techniques of: factoring out a greatest common factor factoring by grouping, factoring trinomials of the form ax2 + bx + c and factoring the difference of squares.
e. Distinguish between algebraic expressions and equations.

3. Linear Equations and Inequalities in One Variable
a. Solve linear equations in a single variable.
b. Solve linear and compound inequalities and represent solutions graphically.
c. Solve linear formulas for a specified variable, including geometric formulas.

4. Graphs of Linear Equations
a. Identify and plot points on the Cartesian plane
b. Graph two-variable linear equations by plotting points and by using slopes and intercepts.
c. Find and interpret slopes and intercepts given a linear graph or a linear equation.

5. Equations in Two Variables
a. Determine the equation of a line given sufficient information.
b. Solve systems of linear equations in two variables graphically and algebraically using substitution and elimination.

6. Applications
a. Analyze word expressions and translate them into algebraic expressions.
b. Obtain and synthesize relevant information and use appropriate formulas in order to set up and solve application problems involving linear equations.
c. Apply geometric formulas to find the perimeter, circumference, area, and volume of basic geometric figures.
d. Interpret solutions of application problems in the context of the problem and evaluate the reasonableness of the solutions. Write solution in complete sentences, including units.
e. Solve applications using systems of equations.

a. Solve quadratic equations by factoring.
b. Solve applications using factorable quadratic equations.

8. General Content
a. Perform all the work of the course without a calculator, except as noted below.
b. Use a calculator to: find decimal approximations of square roots, evaluate exponents, evaluate expressions by using the order of operations correctly, and evaluate numerical solutions to application problems.
c. Read and interpret graphs, charts and tables.
d. Link algebraic, numeric, verbal, and graphical solutions with each other, as appropriate.
e. Use estimation to approximate solutions and to determine the reasonableness of solutions to problems.
f. Write solutions in the context of the problem in complete sentences, including units. Use mathematical notation and vocabulary correctly.
g. Clearly communicate methods of solutions.
h. Participate actively and responsibly in course activities.

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