Maricopa Community Colleges  MAT122   20016-20035 

Official Course Description: MCCCD Approval: 06/26/01

MAT122  20016-20035

LEC

3 Credit(s)

3 Period(s)

Intermediate Algebra

Algebraic operations on radical and rational expressions and complex numbers; linear, quadratic, absolute value, radical, rational, exponential, and logarithmic functions; linear, quadratic, rational, and absolute value inequalities; systems of linear equations. Prerequisites: Grade of "B" or better in MAT090, MAT091, MAT092, or equivalent, or a satisfactory score on the District placement exam.

 

 

Course Note: May receive credit for only one of the following: MAT120, MAT121, or MAT122.

 

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MCCCD Official Course Competencies:

 

 

MAT122  20016-20035

Intermediate Algebra

 

1.

Use function notation. (I, II, III, IV, V, VI)

2.

Solve linear, absolute value, radical, rational, exponential, and logarithmic equations. (I, III, IV, V, VI)

3.

Solve linear equations for specified variables. (I)

4.

Find the slope and equation of a line. (I)

5.

Graph linear, quadratic, absolute value, exponential, and logarithmic functions. (I, II, III, VI)

6.

Solve systems of linear equations with two variables. (I)

7.

Solve linear, quadratic, absolute value, and rational inequalities. (I, II, III, V)

8.

Graph linear inequalities. (I)

9.

Solve quadratic equations by factoring, completing the square, and using the quadratic formula. (II)

10.

Solve equations quadratic in form. (II)

11.

Identify the domain of radical, rational, exponential, and logarithmic functions. (IV, V, VI)

12.

Simplify expressions involving rational exponents. (IV)

13.

Perform operations on radical and rational expressions. (IV, V)

14.

Perform operations on complex numbers. (IV)

15.

Write logarithmic equations in exponential form and write exponential equations in logarithmic form. (VI)

16.

Find the logarithm of a number and rewrite logarithmic expressions using the properties of logarithms. (VI)

17.

Model and solve real-world problems using linear, quadratic, radical, rational, exponential, and logarithmic equations. (I, II, IV, V, VI)

 

 

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MCCCD Official Course Outline:

 

 

MAT122  20016-20035

Intermediate Algebra

 

 

I. Linear Equations and Inequalities

A. Linear equations in one and two variables

B. Linear inequalities in one and two variables

C. Graphs of linear equations and inequalities in two variables

D. Systems of linear equations

E. Applications

II. Quadratic Equations and Inequalities

A. Quadratic equations

1. Factoring

2. Completing the square

3. Using the quadratic formula

B. Quadratic inequalities

C. Graphs of quadratic equations

D. Equations quadratic in form

E. Applications

III. Absolute Value Equations and Inequalities

A. Absolute value equations

B. Absolute value inequalities

C. Graphs of absolute value equations and inequalities

IV. Radical Expressions and Equations

A. Domain

B. Operations on radical expressions

C. Operations on complex numbers

D. Rational exponents

E. Radical Equations

F. Applications

V. Rational Expressions, Equations, and Inequalities

A. Domain

B. Operations on rational expressions

C. Rational equations

D. Rational inequalities

E. Applications

VI. Exponential and Logarithmic Functions

A. Domain

B. Exponential and logarithmic expressions

C. Exponential and logarithmic equations

D. Graphs of exponential and logarithmic functions

E. Applications

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