Logo
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
Superintendent
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.3.1 Solving Linear Equations

What You Need To Know...

Solve linear equations in one variable including simplifying algebraic expressions.

  1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
  2. Items may include applications of commutative, associative, distributive, and identity properties.
  3. Items may have variables on both sides of the equal sign.

Example One

Mario needs to cut three book shelves from a board that is 1.8 meters long.  The second shelf is 15 centimeters longer than twice the length of the first shelf.  The remaining shelf is 5 centimeters longer than the first shelf.  The equation below represents this situation, where x is the length of the first shelf in meters.

x + (2x + 0.15) + (x + 0.05) = 1.8

Which of the following is the length, in meters, of the first shelf?

A. 0.40

B. 0.45

C. 0.53

D. 0.96

CLICK HERE FOR SOLUTION

Example Two

Bill is planning to drive from his house to a baseball stadium and arrive in time for the beginning of the championship game.  His arrival time depends on the traffic.  If traffic is light, he will travel at an average speed of 50 miles per hour and arrive 1 hour early.  If traffic is heavy, he will travel at an average speed of 30 miles per hour and arrive on time.  The equation below can be used to model the situation, where t represents Bill's driving time in hours.

50(t    1) = 30t

What is the distance, in miles, from BIll's house to the baseball stadium?

Answer grid.jpg

 

CLICK HERE FOR SOLUTION

Additional Examples

coming-soon_gif.jpg

VideoTutorial_banner.JPG

The Distributive Property

This text will be replaced

w/ Addition & Subtraction

This text will be replaced

W/ Multiplication & Division

This text will be replaced

Variables on Both Sides

This text will be replaced

Solve w/ Distribution

This text will be replaced

Solving In Depth

This text will be replaced

Reference Sheet