2. Equations & Inequalities in Two Variables

2.01 Slope-intercept form

2.02 Standard form

2.03 Point-slope form

2.04 Linear inequalities in two variables

United States of America Tennessee

Integrated Math 1

2.04 Linear inequalities in two variables

Adaptive

Worksheet

Interactive practice questions

$Paul$ wants to create a graph of the inequality $y\le4x-4$y≤4x−4.

a

$Paul$ is going to start by sketching the boundary line $y=4x-4$y=4x−4 onto the graph.

Should this line be solid or dashed?

Solid

A

Dashed

B

b

This boundary line is shown below.

Loading Graph...

Which half-plane should be shaded to correctly represent the solution set of the inequality?

The half-plane to the left of the boundary line.

A

The half-plane to the right of the boundary line.

B

Easy

1min

$James$ wants to create a graph of the inequality $y<3x-5$y<3x−5.

Easy

1min

$Bart$ wants to create a graph of the inequality $y\ge2x-3$y≥2x−3.

Easy

1min

$Hannah$ wants to create a graph of the inequality $y>5$y>5.

Easy

1min

Outcomes

M1.N.Q.A.1

Use units as a way to understand real-world problems.*

M1.N.Q.A.1.A

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

M1.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.*

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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