All Calendars Athletic District Calendar Events School Calendar 2017-2018 Graduation Dates 2017-2018 School Calendar 2018-2019 School Calendar 2019-2020 School Calendar 2020-2021 School Calendar 2021-2022 School Calendar 2022-2023 Uniform Statewide Assessment Calendar Work Calendar
Contacts Directory Accounting Operations Affirmative Action Alternative Education Athletics Behavior Education Support Team (BEST) Budgeting Certification Community Involvement Office Continuous Improvement Court Liaison Curriculum and Instruction Driver's Education Elementary Education Energy Management English Language Arts Escambia County Public Schools Foundation ESOL Evaluation Services Exceptional Student Education Facilities Planning FDLRS Finance and Business Services Fine Arts FOCUS Student Information System Food Services General Counsel Guidance Services Health Services High School Education Human Resource Services Information Technology Internal Auditing Maintenance and Custodial Services Math MediaServices Middle School Education New Facility Name Submissions Operations Payroll & Benefits Accounting PBIS Physical Education Professional Learning Protection Services Psychological Services Public Relations Purchasing Department Risk Management & Benefits Roy Hyatt Environmental Center SAZAC School Choice School Records School Social Workers Science_ECSD Social Studies Student Services Title I Transportation Warehouse Wellness Workforce Education Teaching Employment Opportunities Department Sub Folder
School Listing Page Elementary Schools Middle Schools High Schools Alternative Schools Virtual Academy School Listing with Contact Info Bus Transportation Info Enroll in a School Find Your School
School Board
AeSOP Board Meeting Information Bus Transportation Committees ECSD Meeting Info GroupWise Email Employee Pay Stub - Skyward Employment Information Financial Information Find Your School Focus Free & Reduced Meal Application Meal Payments My Links Risk Management & Benefits School Choice Information Schoolnet School Violence Staff Students Student of the Month Vendors Student Online Registration Teacher Resources Page TrueNorthLogic

MA.912.A.7.2 Solving Quadratic Equations

What You Need To Know...

Solve quadratic equations over the real numbers by factoring and by using the quadratic formula.

  1. The benchmark will be assessed with MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may assess special forms like the difference of squares and perfect square trinomials.
  3. Items may assess the use of the zero product property of real numbers.
  4. Fill-in response items may ask the student to provide the greater (or lesser) of two solutions explicitly or implicitly.
  5. MC options may be given using set notation.

Example One

Jeannie solved the quadratic equation shown below by factoring.

x2 + 2x  8 = 0

Which of the following shows a step in solving the equation shown?

A. (x + 2)(x + 4) = 0
B. (x + 2)(x  4) = 0 
C. ( 2)(x + 4) = 0 
D. ( 2)(x  4) = 0 


Example Two

A ball is kicked from ground level into the air.  Its height, y, in feet, after x seconds can be represented by the equation y = 40x - 16x2. What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?

Answer grid.jpg


Additional Examples



Solve by Factoring

This text will be replaced

The Quadratic Formula

This text will be replaced

Real-World Settings

This text will be replaced

Reference Sheet