**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.