# ModelCourses/BeginningAlgebra This article is under construction. Use the information herein with caution until this message is removed.

## Beginning Algebra

The beginning algebra model course spans "developmental" algebra between Arithmetic/Pre-algebra and College Algebra/Pre-calculus. There are many ways to arrange this material, and it is usual for the material to overlap with College Algebra.

A common two-course sequence (with two separate books) is Beginning Algebra followed by Higher/Intermediate Algebra. There are also combined Beginning and Intermediate Algebra textbooks.

The outline below is meant to help index beginning algebra model course problems. The bold words/phrases are the keys in a 3-level hierarchy. For example, basic set theory problems would be indexed under arithmetic as: <br\> BeginningAlgebra->arithmetic->sets

### Arithmetic

#### Review

• Set 1.1 Integers
Students will be able to:
• Compute fractions of integers
• Do a word problem using integers
• Set 1.2 Fractions
Students will be able to:
• Change expressions to a reduced fraction
• Change expressions to mixed numbers.
• Reduce fractions
• Divide two fractions
• Take a textual description of a fraction, and write it as a decimal.
• Set 1.3 Integer exponents
• Set 1.4 Percentages
Students will be able to:
• Write a decimal as a percent
• Write a fraction as a percent
• Given a data set, compute the percentage for a given data characteristic
• Compute percentage change
• Set 1.5 Square roots
• Set 1.6 Decimals
• Set 1.7 Order of operations
• Set 1.8 Variables and variable expressions
• Set 1.9 Sets

• Set 1.10 fractional exponents and radicals
• Set 1.13 complex numbers

### Linear Equations

• Set 2.1 Introduction to linear equations
• Set 2.2 From sentences into equations
• Set 2.3 Applications of linear equations
• Set 2.4 Linear inequalities
• Set 2.5 Absolute value equations
• Set 2.6 Absolute value inequalities

### Geometry

• Set 3.1 Points, lines, and angles
• Set 3.2 Plane figures
• Set 3.3 Solids

### Graphing linear equations

• Set 4.1 The Cartesian Plane
• Set 4.2 Equations of lines in slope-intercept form
• Set 4.3 The slope of a line
• Set 4.4 Equations of lines in point-slope form
• Set 4.5 Linear inequalities in two variables

### Systems of linear equations

• Set 5.1 2x2 linear systems: introduction and graphing
• Set 5.2 Solving linear systems by substitution
• Set 5.3 Solving 2x2 linear systems by elimination
• Set 5.4 Determinants and Cramer's rule
• Set 5.5 Applications of linear systems
• Set 5.5 Systems of linear inequalities

### Polynomials

• Set 6.1 Exponents and simplifying polynomials
• Set 6.2 Evaluation of polynomials
• Set 6.3 Multiplication of polynomials
• Set 6.4 Polynomial division
• Set 6.5 Factoring out the greatest common factor
• Set 6.6 Factoring polynomials of the type [math]ax^2 + bx + x[/math]
• Set 6.7 Special products and factoring
• Set 6.8 Polynomial equations ([math] p(x) = 0 [/math])

### Rational expressions

• Set 7.1 Multiplication and division
• Set 7.2 Addition and subtraction
• Set 7.3 Complex fractions (complicated)
• Set 7.4 Rational equations
• Set 7.5 Variation

• Set 8.1 Solving by factoring
• Set 8.2 Solving by taking roots
• Set 8.3 Completing the square
• Set 8.5 Equations that are quadratic in form
• Set 8.7 Applications of quadratic functions