Kuta Software Solving Quadratic Equations With Square Roots

Quadratic Equations and Functions Workbook

The QUADRATIC EQUATIONS AND FUNCTIONS WORKBOOK is a resource that Algebra 2 students can use to practice solving quadratic equations, writing quadratic equations, graphing quadratic functions, writing quadratic functions, and solving word problems that involve quadratic equations and functions. There are nine sections in this workbook. Example problems with step-by-step solutions precede each type of problem for sections one through nine. Students should study these examples before starting the problems. This workbook also contains the step-by-step solutions for all problems. Section 1 begins with problems for students to use square roots to solve quadratic equations in simplest terms. The denominator for answers is rationalized. In Section 2, students solve quadratic equations by factoring and by using the Zero Product Property. Section 3 includes problems where students solve quadratic equations by completing the square. This workbook contains the derivation of the Quadratic Formula. In Section 4, students use the Quadratic Formula to solve quadratic equations. This workbook includes the derivation of the sum and product of roots for a quadratic equation in standard form. Section 5 is where students write quadratic equations given their roots. Students can use the Zero Product Property or the sum and product of its roots to do these problems. In Section 6, students explain why the graph of the quadratic function, which is called a Parabola, will open upward or downward. Then they determine if the graph will have a minimum or a maximum. Section 7 is where students graph quadratic functions that are in standard, factored, and vertex form. In Section 8, students use the coordinates for points on the graph of a quadratic function to write the quadratic function in factored, vertex, and standard form. Section 9 is where students solve word problems that involve quadratic equations and quadratic functions. Finally, there are step-by-step solutions for all problems. ABOUT THE AUTHOR Teaching Experience Norman just finished his 27th year as a high school math teacher and he is looking forward to the 2021-2022 school year. During his teaching career, he has taught Algebra 1, Algebra 2, Geometry, and Pre-Calculus. Education Norman earned a M.Ed. from Chaminade University of Honolulu and a B.A. in Mathematics from the University of Hawaii at Manoa. Personal Norman is a Navy Veteran. He enlisted in the United States Navy upon his high school graduation. He worked as an F-14 Tomcat plane captain (not a pilot) for the VF-41 Black Aces while they were out at sea on the aircraft carrier U.S.S. Nimitz. He is proud to have served his country while traveling the world and developed life-long friendships through unforgettable experiences. Norman enjoys his free time reading biographies, listening to music, playing the guitar, watching finance and investing videos, and hanging out with family and friends.

Simple Equations with Squares and Square Roots

A Method of Integrating the Square Roots of Quadratics