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# Elementary Algebra Outcomes

## Course Description:

Prerequisite: MTH 096 with a grade of C or better or an
acceptable score on the current College assessment instrument.
Includes natural numbers, integers, first-degree equations and
inequalities
, special products, factoring, rational expressions
and equations, graphs, and linear systems , exponents, and
quadratic equations . This course was previously MTH 107.
You may receive credit in MTH 107 or MTH 097, but not both.
( Equivalent to first year high school algebra). (45-0)

## OUTCOMES and OBJECTIVES

Upon successful completion of this course, the student will be able to:

Outcome:

1. Students will develop their skills in number patterns , relationships, and
computation

Objectives:

A. Compute (add, subtract , multiply and divide) with signed numbers without the use of a calculator.
B. Simplify numerical expressions with multiple operations and grouping symbols using the order of operations.
C. Simplify rates and ratios.
D. Compute the opposite, reciprocal, and absolute value of a given real number.
E. Estimate the value of a numerical expression.
F. Identify an approximate answer to an application problem prior to working it out.
G. Identify the appropriate unit of an answer to a word problem.

Outcome:

2. Students will develop their skills in the computation and recognition of
algebraic expressions .

Objectives:

A. Add, subtract, and multiply polynomial expressions.
B. Simplify algebraic expressions with multiple operations and grouping symbols using the order of operations.
C. Simplify algebraic expressions using the rules of exponents .
D. Simplify algebraic expressions using the distributive property .
E. Compare and contrast terms and factors .
F. Simplify rational expressions.
G. Factor polynomials by taking out a common factor.
H. Factor trinomials.
I. Factor binomials of the form x^2 - y^2
J. Identify an algebraic expression that cannot be factored.
K. Compute the opposite and reciprocal of a given algebraic expression.
L. Identify and give examples of like and unlike terms.
M. Identify and give examples of linear, quadratic, rational, and radical expressions .
N. Compare and contrast expressions and equations.

Outcome:

3. Student can solve a variety of equations, inequalities, and systems of
equations.

Objectives: Student will:

A. Solve a variety of linear, quadratic (using the factoring method and the quadratic formula), radical, and rational equations.
B. Verify the solution of an equation .
C. Recognize situations in which an equation has no solution or has multiple solutions.
D. Solve a variety of linear inequalities.
E. Verify the solution of a linear inequality.
F. Recognize situations in which a linear inequality has no solution or multiple solutions.
G. Use interval notation, relational symbols ( <, >, ≤, ≥) dimensional graph, or a verbal description to describe a set of numbers.
H. Solve a variety of systems of linear equations.
I. Verify the solution of a system of linear equations.
J. Recognize situations in which a system of linear equations has no solution or multiple solutions.

Outcome:

4. Student can recognize and understand concepts related to linear functions.

Objectives: Student will:

A. Solve linear equations algebraically, graphically, and numerically.
B. Solve systems of linear equations algebraically, graphically, and numerically.
C. Compute the slope of a line in a variety of contexts.
D. Identify the slope of a line as positive, negative, zero , or undefined.
E. Interpret the slope of a line in context as a rate of change.
F. Compute the y-intercept of a line in a variety of contexts.
G. Interpret the y-intercept of a line in context as an initial amount.
H. Compute the equation of a line in y = mx + b form in a variety of contexts.

Outcome:

5. Students will develop their skills in the construction and interpretation of
Cartesian graphs.

Objectives:

A. Construct the graph of a line if given the equation of the line.
B. Identify an appropriate scale for both axes when constructing a graph.
C. Approximate one coordinate of a point on a graph is given the other.
D. Identify graphs as linear or non-linear.

Outcome:

6. Students will develop their problem-solving skills

Objectives:

A. Set up an equation or expression if given a word phrase.
B. Describe in words the meaning of an expression or equation.
C. Solve a variety of real world problems using the tools of algebra and mathematical modeling.

Outcome:

7. Students will communicate effectively about mathematics.

Objective:

A. Use mathematics terminology effectively in writing and speaking.

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