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Graphing Inequalities (C) WORKSHEET
Suitable for Grades: 8th Grade, Algebra I, IM 1
CCSS: 8.EE.C.7, HSA.REI.D.12
CCSS Description: Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
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.
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.
Graphing Inequalities (C) WORKSHEET DESCRIPTION
Students will define regions determined by up to three inequalities throughout this worksheet.
In Section A learners are reminded to use the equations of the straight lines that define the region and to use a test coordinate inside the region to determine the inequality.
Section B requires students to state the inequality or inequalities that define the shaded region. Here regions are bound by 1, 2 or 3 linear inequalities.
Lastly, Section C will see students plotting straight lines and shading regions which satisfy different inequalities over 6 questions. Students are provided with separate coordinate grids to draw on and again regions are bound by up to three inequalities.
