Systems of Equations

A method for solving systems by adding the equations to eliminate a variable.

• Substitution

• Elimination

• Graphing inequalities

• Isolate variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is a linear inequality

• Any point (coordinates) that make the inequalities true

• A set of two or more inequalities in one or more variables.

• An inequality that involves a linear function.

• A method for solving systems by adding the equations to eliminate a variable.

Tags

CCSS.HSA.REI.D.12

Steps to solve by Substitution

• Solve one equation for x and y

• Solve the equation for the remaining variable

• Substitute this expression into the other equation and solve for the variable

• Plug in your answer into the revised equation and solve for the other variable

• Use a test point to determine which side of the line to shade

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Use a _______ line for < or > symbols

Tags

CCSS.6.EE.B.8

What is a boundary line?

• Restrictions that need to be placed upon variables used in equations that model real world situations

• The test point will lie in one or the half-planes formed by the boundary line

• Used to display the solutions to a system of inequalities on a graph

Tags

CCSS.HSA.REI.D.12

Steps for graphing linear inequalities

Tags

CCSS.HSA.REI.D.12

When you graph a linear inequality first you need to write the inequality in ______ _________ form

Tags

CCSS.HSA.REI.D.12

System of equations (all that apply)

• Contains two or more equations

• The solution to a system of linear inequality is the region where the graphs of all linear inequalities in the system overlap.

• In order to solve for y, take the value for x and substitute it back into either one of the original equations.

• The solution of such a system is the ordered pair that is a solution to both equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What are parallel lines

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

What are perpendicular lines

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1