MPT1 Assessment Topics PDF Study Guide

MPT1 Assessment Topics 1. PreAlgebra a. Operations with Whole Numbers b. Factors, Prime Factorization, GCD, LCM c. Fractions/Rational Numbers d. Decimal Numbers e. Rounding f. Percent 2. Algebra Essentials a. Order of Operations b. Algebraic Properties of...

MPT1 Assessment Topics 1. PreAlgebra a. Operations with Whole Numbers b. Factors, Prime Factorization, GCD, LCM c. Fractions/Rational Numbers d. Decimal Numbers e. Rounding f. Percent 2. Algebra Essentials a. Order of Operations b. Algebraic Properties of Operations c. Algebraic Expressions/Formulas d. Word Problems/Applications 3. Exponents a. Rules of Exponents (integer exponents) b. Rational Exponents and Radical Notation c. Simplifying Exponential Expressions d. Rationalizing e. Pythagorean Theorem 4. Polynomials a. Leading Term, Leading Coefficient, Constant Term, and Degree b. Operations with Polynomials, Simplifying Polynomial Expressions c. Binomial Expansion d. Difference of Squares and Difference of Cubes Formulas e. Factoring Quadratic Formulas f. Factoring by Grouping 5. Rational Expressions 6. Word Problems / Modeling a. Common Perimeter, Area, and Volume Formulas from Geometry. b. Similar Triangles c. Percentage Calculations d. Average of Numbers e. Translating Verbal Problems into Mathematics Problems 7. Interval Notation a. Open and Closed Intervals b. Union and Intersections of Intervals 8. Domain of Equations/Formulas 9. Solving Equations a. Linear Equations in One Variable b. Linear Equations in Two Variables c. System of Linear Equations Elimination Method Substitution Method  d. Quadratic Equations Solving by Factoring Solving by Completing Square Solving by Quadratic Formula e. Equations Involving Radicals f. Equations Involving Absolute Value g. Graphs of Equations 10. Solving Inequalities a. Algebraic Properties of Inequalities b. Linear Inequalities c. Absolute Value Inequalities d. Other Inequalities e. Sign Chart of Formulas f. Graphs of Inequalities 11. Functions a. Functions Given as Table of Values b. Functions Given by Algebraic Formulas by a single formula by several formulas (piecewise-defined functions) c. Natural Domain and Range d. Evaluating Output, Given Input e. Finding Input(s) Given Output f. Operations with Functions Algebraic Operations Between Functions Composition of Functions Decomposition of Functions g. Inverses of Functions Open source books for review : OpenStax PreAlgebra (Chapters 1 to 7) OpenStax Algebra and Trigonometry (Chapters 1, 2, and 3) Free website PurpleMath Note: PurpleMath contains links to video tutorials on mathhelp.com which is not a free website.