Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​
​ALGEBRA 1 STATE TEST PRACTICE

System of Inequalities

12/27/2018

 
The graph of a system of inequalities is shown.
Picture
Create the system of inequalities that is represented by the graph.

Determine the boundary line of each of the two inequalities first.

It is necessary to determine the y-intercept, slope, and inequality sign of each boundary line.
A dashed boundary line designates using a < or > sign.
A solid boundary line designates a ≤ or ≥ sign.
An inequality shaded above the line uses a > or ≥ sign.
An inequality shaded below the boundary line uses a < or ≤ sign.


Slope-intercept form is y = mx + b
m is the slope of the line
b is the y-intercept of the line


One line has a y-intercept of -3 and a slope of 0, with a dashed boundary line.  Also it is shaded below the line, indicating
the use of a < sign.
y < -3   {slope is zero and the y-intercept is -3}

The other line has a y-intercept of -5 and a slope of 2/3.  Also, it is shaded above the line, indicating the use of a ≥ sign
y ≥ (2/3)x - 5   {slope is 2/3 and the y-intercept is -5}

The system of inequalities is:
y < -3
y ≥ (2/3)x - 5



Ask Algebra House

​​


Comments are closed.

    Ask a Question
    Latest Videos
    Picture


    Algebra 1 State Test Practice Archives

    January 2025
    November 2023
    August 2023
    November 2021
    May 2021
    April 2021
    March 2021
    February 2021
    January 2021
    December 2020
    January 2020
    December 2019
    November 2019
    October 2019
    September 2019
    August 2019
    April 2019
    January 2019
    December 2018
    September 2018
    February 2018
    January 2018
    December 2017
    November 2017
    September 2017
    April 2017
    March 2017
    February 2017
    December 2016
    October 2016
    September 2016
    January 2016
    December 2015
    November 2015
    October 2015
    September 2015
    July 2015
    April 2015
    March 2015
    February 2015
    January 2015
    December 2014





In case you missed it:
Go Home
​​Ask a Question
Answered Questions
Algebra Examples
State Test Practice

ACT and SAT Practice
​
Notes Archive​
Leave a Tip
​​Problem Solver
Graphing Calculator
3D Graphing Calculator
​Privacy Policy
​
Cookie Policy
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip