Writing Linear Equations/Inequalities & Systems

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

Front

How do you write a system of equations?

Back

Tags

CCSS.HSA.REI.C.8

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point(s) where the equations intersect on a graph. It represents the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. It uses symbols like <, >, ≤, or ≥.

Tags

CCSS.6.EE.B.8

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line (depending on whether the inequality is strict or inclusive). Then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

Front

What does it mean to solve a system of equations graphically?

Back

Solving a system of equations graphically means finding the point(s) where the graphs of the equations intersect. This point(s) represents the solution to the system.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6