3. Systems of Linear Equations & Inequalities

3.01 Solving systems of equations by graphing

3.02 Solving systems of equations by substitution

3.03 Solving systems of equations by elimination

3.04 Systems of linear inequalities

United States of America Tennessee

Algebra 1

3.04 Systems of linear inequalities

Adaptive

Worksheet

Interactive practice questions

Sketch a graph of the system of inequalities $x$x$\le$≤$3$3 and $y$y$\le$≤$-1$−1.

Loading Graph...

Easy

< 1min

Sketch a graph of the system of inequalities $2x+3y$2x+3y$>$>$6$6 and $3x-2y$3x−2y$<$<$12$12.

Easy

< 1min

Sketch a graph of the system of inequalities $3y-2x$3y−2x$\le$≤$6$6 and $2x-3y$2x−3y$\le$≤$12$12.

Easy

< 1min

The solution to the system of inequalities $y<2x+3$y<2x+3 and $y\le\frac{1}{3}x-4$y≤13x−4 is shown in the graph below.

Medium

< 1min

Outcomes

A1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.D.7

Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

A1.S.ID.A.1

Use measures of center to solve real-world and mathematical problems.*

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

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