| Educational Level |
High school and college. Great for Home Schoolers and Distance Learning. | |
| Applicable Courses |
Algebra 1 and 2, College Algebra, Pre-Calculus | |
| Operating System | Windows 95 / 98 / Me / NT / 2000 / XP or Virtual PC with Windows XP on iMac | |
| Help | Context sensitive Help on using PAT. | |
| Tutorial | Context sensitive Tutorial on the algebra topic or step. | |
| Program Purpose |
Provide Step-by-Step Solutions and Explanations to problems that you can enter so that you can learn to do problems by yourself on tests when you need to. |
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| Problem Source |
Your textbook, worksheet, etc., or more than 1500 internal problems. | |
| Main Algebra Tasks | Solves, Simplifies, Factors, Evaluates, Graphs, Polynomial and Rational Functions. Many other sub-features. |
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| Requires input in standard form? | No | |
| Solves Equations | Literal, Linear , Quadratic, Rational Equations,
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| Equation Solution Methods | Quadratic Equations | Factoring,
Solve Quadratic Equation Graphically |
| Systems of linear equations | Substitution, Addition, Subtraction, Multiplication of equations, Graphically, Determinants, Matrices. | |
| System of Linear Equations | 2 or 3 Variables and Equations | Substitution, Elimination |
| Solve Equations Using Determinants | ||
| Solve Equations Using Matrices by Gauss Elimination and Back Substitution | ||
| Solve Equations Using Matrices by Gauss-Jordan Elimination | ||
| Solves Inequalities | Linear, Double, Quadratic, Absolute Value inequalities in 1 variable. The real number line. Interval Notation Linear and Systems of Linear inequalities in 2 variables. Graphs of the inequalities. |
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| Factor Methods | Grouping, Difference of squares, Sum or Difference of cubes. | |
| Simplifies Expressions and Fractions | During simplification, does the following as is required: Adds, subtracts, multiplies, expands parentheses, finds GCF and LCD, factors, cancels, combines fractions. Complex numbers. | |
| Radicals | Simplify, Add, Subtract, Multiply, and Divide radical expressions. | |
| Number Conversions |
Convert between Decimals, Fractions, and Per Cents. | |
| Scientific Notation |
Express decimal numbers in Scientific Notation. Convert Scientific Notation to Decimal Numbers. |
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| Graphing Points Applications |
Plot and draw line between 2 Points, Calculate Midpoint of 2 Points, Calculate Distance between Points,, Calculate Slope of line through 2 Points. |
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Determine equation of the line through 2 Points. |
Slope-Intercept Form. |
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| Point Slope Form |
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| Synthetic Division | Divide by (x-n) | Find the Quotient Polynomial and Remainder |
| Evaluate f(x) at x = Number or Divide by (x-n) |
If f(n) = 0, n is a zero and (x-n) is a factor of f(x) Factor Theorem If f(n) = <> 0, then r = f(n) is the remainder: Remainder Theorem |
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| Graphing Polynomials | Use to quickly find and plot points | |
| Graph Lines and Parabolas |
From equations of Lines: Graph line, Find Slope, X- and Y-Intercepts. From equations, Graph Parabola: Graph lines in Standard or Slope-Intercept form. Determine graphical solution of 2 lines Determine graphical solution of line and parabola. Graphs are labeled, to scale, and in color. |
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| Graph Rational Expressions |
From entered function, determines asymptotes, zeros, intercepts. Graphs function using asymptotes, zeros, intercepts. |
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| Graph Conics |
Graphs Conics from either the conic's equation or its parameters (vertex, center, foci, etc.). Complete Square and Find Standard Form of Equation if necessary. Graph Parabola: Find Vertex. Intercepts, Axis, Focus, Directrix, Latus Rectum, Domain, Range, Maximum, Minimum, Graph Circle: Find Center and Radius Graph Ellipse: Find Center, Vertices, Foci, Transverse Axis, Conjugate Axis. hyperbolas) |
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| Polynomial Functions | Combinations of Functions | f(x) + g(x) Sum f(x) - g(x) Difference f(x) * g(x) Product f(x) / g(x) Division |
| Composition of Functions | ( f o g )(x) = (f(g(x)) | |
| Graphing Polynomials | Find Zeros. Find maxima and minima. Find relative maxima and minima. Intersections of 2 polynomials. |
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| Determine Domain and Range | ||
| Determine Odd/Even Symmetry. | ||
| Find and graph f(-x): Reflection in the x-axis. | ||
| Evaluate Polynomial Functions: Find f(n) |
Using Synthetic Division or or Substitution |
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| Synthetic Division | Divide by (x-n) | Find the Quotient Polynomial and Remainder |
| Evaluate f(x) at x = Number or Divide by (x-n) |
If f(n) = 0, n is a zero and (x-n) is a factor of f(x) Factor Theorem If f(n) = <> 0, then r = f(n) is the remainder: Remainder Theorem |
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| Graphing Polynomials | Use to quickly find and plot points | |
| Polynomial Long Division | Divide by polynomial of degree > or = 1 |
Find the Quotient Polynomial and Remainder |
| Sample Problems | Contains over 1500 sample problems in addition to an unlimited number of problems that you can enter. This is more than most programs that don't let you enter problems. |
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