Algebra 1 Online!
Henrico County Public Schools, Virginia
 Home Pacing - Middle School Pacing - High School SOL Tracker Algebra 1 Standards Virginia Department of Education Return to HCPS Math Courses
 Expressions and Operations Equations and Inequalities Functions Statistics SOL Review Materials Frequently Asked Questions
A.5cd
The student will solve multistep linear inequalities in two variables, including
c)   solving real-world problems involving inequalities; and
d)   solving systems of inequalities.
 Essential Knowledge and Skills Solve real-world problems involving inequalities. Solve systems of linear inequalities algebraically and graphically. Essential Understandings A solution to an inequality is the value or set of values that can be substituted to make the inequality true. Real-world problems can be modeled and solved using linear inequalities. Set builder notation may be used to represent solution sets of inequalities.
Vertical Articulation
1. SOL 7.15 - a) solve one-step inequalities; b) graph solutions on number line
2. SOL 8.15 - b) solve two-step linear inequalities and graph results on number line; c) ID properties of operations used to solve
3. SOL AFDA.5 - determine opt values in problem situations by identifying constraints/using linear programming techniques
4. SOL AII.5 - solve nonlinear systems (algebraically/ graphically)
Instructional Materials
1. VDOE ESS Lesson: Graphing Systems of Inequalities - Equations and Inequalities (PDF) - Graphing systems of inequalities (Word)
2. Notes: Graphing Systems of Inequalities (ppt)
Real World Lessons
Practice
Self-Assessments
Skills
Videos
1. Video: PH Graphing Systems of Linear Inequalities
2. Video: PH Writing Systems of Linear Inequalities
3. Video: PH Using a System of Linear Inequalities
4. Video Tutor - Solving a System of Linear Inequalities
Explore Learning
1. Linear Inequalities in Two Variables - Activity A - Find the solution set to a linear inequality in two variables using the graph of the linear inequality. Vary the terms of the inequality and vary the inequality symbol. Examine how the boundary line and shaded region change in response.
2. Solving Linear Inequalities using Addition and Subtraction - Solve a linear inequality. Graph the solution on a dynamic number line.
3. Solving Linear Inequalities using Multiplication and Division - Solve an inequality involving multiplication and division. Graph the solution on a number line.
4. Systems of Linear Inequalities (Slope-intercept form) - Activity A - Compare a system of linear inequalities to its graph. Vary the coefficients and inequality symbols in the system and explore how the boundary lines, shaded regions, and the intersection of the shaded regions change in response.
Websites
1. Interactive Notes: Graphing Systems of Inequalities - lessons and practice problems at Regentsprep.org
2. Interactive Notes: Review Systems of Inequalities
3. Interactive Notes: Introduction to system of Inequalities
4. Graphing Systems of Inequalities