REVIEW Systems of Linear Equations & Inequalities12.12.24

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

What is the graphical representation of a linear inequality?

Back

A region of the coordinate plane that shows all possible solutions.

Tags

CCSS.HSA.REI.D.12

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign, while a linear inequality has inequality symbols.

Front

What does the solution set of a system of inequalities represent?

Back

It represents all the points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

How can you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the appropriate region.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the boundary line in a linear inequality?

Back

It separates the solution set from the non-solution set.

Tags

CCSS.HSA.REI.D.12