Graphing linear inequalities worksheet answers algebra 1

This ensemble of printable graphing linear inequalities worksheets drafted for high school students assists in comprehending the use of inequalities when there is a range of possible answers. Identify the shaded region, and the type of boundary line as dashed or solid, complete the inequality, check if the ordered pair is a solution, identify the inequalities, shade the region, graph the inequalities and much more. The inequality is expressed in slope-intercept form in level 1 and has to be converted to slope-intercept form in Level 2. Our free graphing linear inequalities worksheets are a good place to begin practice.

Graphing linear inequalities worksheet answers algebra 1

Complete the Property Table - Level 1

The boundary lines in this set of graphing two-variable linear inequalities worksheets are in the slope-intercept form. Observe the inequality and complete the table in Part A. Analyze the properties of the line and write the inequality in Part B.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Complete the Property Table - Level 2

Rearrange the inequality in the slope-intercept form. High school students are expected to write if the line is dashed or solid and if the shaded region is above or below in Part A and complete the inequality in Part B in these pdfs.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Is the Ordered Pair a Solution to the Linear Inequality?

Determine if an ordered pair is a solution of the graph. Figure out if the pair lies in the shaded region. If it does, then it is a solution and not otherwise. Try a variant by checking if a set of coordinates are solutions.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Observe the Graph and Identify the Inequality - Level 1

The boundary line of each graph is specified in these printable worksheets. Check if the line is solid or dashed, and the position of the bounded region is above or below and write the inequality in two variables based on the stated properties.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Observe the Graph and Answer the Questions

High school learners are expected to answer a set of questions based on the graph. Shade the half-plane that contains or doesn't contain the ordered pair as specified in the question and identify the inequality as well.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Graph the Inequality - Level 1

Map each inequality on a coordinate plane. Substitute a list of random coordinates in the inequality given and graph the line as dotted or solid on the x-y plane and shade the region of possible solutions in these graphing linear inequalities worksheet pdfs.

  • Graphing linear inequalities worksheet answers algebra 1

Graphing linear inequalities worksheet answers algebra 1

Graph the Inequality - Level 2

The line is not expressed in the slope-intercept form. Rearrange the equation, so that it solves for y and graph the inequality in two variables using a coordinate plane and find the full range of possible solutions.

  • Graphing linear inequalities worksheet answers algebra 1

STANDARD A.REI.D.12
AI

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

WORKSHEETS
Regents-Graphing Linear Inequalities 1
AI
7 TST
PDF
DOC
JUM
Regents-Graphing Linear Inequalities 2
IA/A
9/4 TST
PDF
DOC
Regents-Graphing Systems of Linear Inequalities 1
AI
18 TST
PDF
DOC
JUM
Regents-Graphing Systems of Linear Inequalities 2
IA/A
15/7 TST
PDF
DOC

Practice-Graphing Linear Inequalities 1

8 WS
PDF

Practice-Graphing Linear Inequalities 2

9 WS
PDF

Practice-Graphing Linear Inequalities 3

8 WS
PDF

Practice-Graphing Linear Inequalities 4

4 WS
PDF
Practice-Graphing Systems of Linear Inequalities 1 4 WS
PDF
Practice-Graphing Systems of Linear Inequalities 2 8 WS
PDF
Practice-Graphing Systems of Linear Inequalities 3 12 WS
PDF
Practice-Graphing Systems of Linear Inequalities 4 8 WS
PDF
Practice-Graphing Systems of Linear Inequalities 5 6 WS
PDF
LESSON PLANS Graphing Linear Inequalities PDF
DOC
Graphing Systems of Linear Inequalities PDF
DOC

How do you graph linear inequalities in Algebra 1?

There are three steps:.
Rearrange the equation so "y" is on the left and everything else on the right..
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>).
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤)..

How do you solve linear inequalities?

When solving linear inequalities: If the coefficient of x is positive, the inequality sign maintains its direction when we divide by the coefficient to isolate x. If the coefficient of x is negative, we must reverse the direction of the inequality sign when we divide by the coefficient to isolate x.

How do you graph linear inequalities in two variables?

Graph Linear Inequalities in Two Variables.
Identify and graph the boundary line. If the inequality is ≤ or ≥, the boundary line is solid. ... .
Test a point that is not on the boundary line. (If not on the boundary line, (0,0) is usually a convenient test point.) ... .
Shade in one side of the boundary line..