My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.

Access also available here: https://academicworks.cuny.edu/qb_oers/15/

Table of Contents

Linear Equations And Inequalities

GPS 1: Understanding Linear Equations

GPS 2: Solving Linear Equations With Whole Numbers

GPS 3: Adding Signed Numbers

GPS 4: Subtracting Signed Numbers

GPS 5: Multiplying And Dividing Signed Numbers

GPS 6: Solving Linear Equations With Signed Numbers

GPS 7: Translating Words Into Expressions And Equations

GPS 8: Solving Linear Inequalities, Part 1

GPS 9: Solving Linear Inequalities, Part 2

GPS 10: Solving Linear Equations With Fractions

GPS 11: More Linear Equations With Fractions

GPS 12: Solving Literal Linear Equations

The Coordinate Plane And Lines

GPS 13: Introduction To The Coordinate Plane

GPS 14: Intercepts Of A Line

GPS 15: Slope And Equations Of A Line

GPS 16: The Slope-Intercept Equation Of A Line

GPS 17: Slope-Intercept Equation And Graphing

GPS 18: Graphing Lines In Slope-Intercept Form

GPS 19: Finding An Equation Of A Line From Its Graph

GPS 20: Horizontal And Vertical Lines

Systems Of Linear Equations

GPS 21: Introduction To Systems Of Linear Equations And Solving Graphically

GPS 22: More On Solving Systems Graphically

GPS 23: Solving Systems Of Linear Equations Algebraically

GPS 24: More On Solving Systems Algebraically

Exponents

GPS 25: Rules Of Exponents, Part 1

GPS 26: Rules Of Exponents, Part 2

Polynomials And Operations

GPS 27: Introduction To Polynomials And Operations

GPS 28: Multiplying Polynomials

GPS 29: Removing The Greatest Common Factor

GPS 30: Factoring By Grouping

GPS 31: Factoring Trinomials By Grouping – Part 1

GPS 32: Factoring Trinomials By Grouping – Part 2

GPS 33: Factoring Trinomials By Grouping – Part 3

GPS 34: Factoring Trinomials By Grouping – Part 4

GPS 35: Factoring A Difference Of Squares

GPS 36: Multistep Factoring

GPS 37: Solving Quadratic Equations By Factoring

Algebraic Expressions

GPS 38: Evaluating Algebraic Expressions

Square Roots And Operations

GPS 39: Introduction To Square Roots

GPS 40: Operations With Square Roots

GPS 41: Pythagorean Theorem