Unit 1
Number Systems & Algebra Foundations
- Real numbers and order of operations
- Fractions, decimals, ratios, and percent
- Absolute value and number line
- Integer and fractional exponents
- Radicals and inverse operations
← Back to College Mathematics
College Mathematics
MATH 96 — Preparatory Algebra
A preparatory algebra pathway based on the current UW–Madison Guide description. It builds the algebraic tools needed for further college mathematics.
Course overview
A preparatory algebra pathway based on the current UW–Madison Guide description. It builds the algebraic tools needed for further college mathematics.
Math Aficionado uses this structure as a tutoring roadmap: lessons can be paced around the student's current level, school sequence, assignments, and assessment goals rather than forcing every student through the same timetable.
Units & topics
Unit 2
Expressions & Algebraic Manipulation
- Combining like terms
- Distributive property and factoring patterns
- Polynomial arithmetic
- Rational expressions and restrictions
- Radical expressions and simplification
Unit 3
Linear Equations & Inequalities
- One-variable linear equations
- Equations with fractions and decimals
- Linear inequalities and interval notation
- Compound inequalities
- Absolute-value equations and inequalities
Unit 4
Quadratic & Power Equations
- Completing the square
- Quadratic formula
- Factoring quadratic expressions
- Equations with fractional exponents
- Checking solutions and extraneous roots
Unit 5
Systems, Graphs & Functions
- Coordinate plane and slope
- Graphing linear equations
- Systems of two linear equations
- Function notation and basic function ideas
- Domain, range, and graphical interpretation
Unit 6
Algebraic Problem Solving
- Translating verbal statements into equations
- Linear and nonlinear models
- Multi-step application problems
- Estimating and checking solutions
- Justifying solutions with algebra and graphs
Curriculum reference: University of Wisconsin–Madison Guide / Department of Mathematics. The page is an independent tutoring roadmap and is not an official course page of the source institution.
READY TO GET STARTED?
Want help with this course?
Tell Math Aficionado the exact class, unit, or problem set you are working on.