Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

To solve a system of linear equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of linear equations?

Back

The graphical representation of a system of linear equations consists of the lines corresponding to each equation. The point(s) where the lines intersect represent the solution(s) of the system.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method in solving linear equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving linear equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a dependent system of equations?

Back

A dependent system of equations has infinitely many solutions, as the equations represent the same line.

Tags

CCSS.8.EE.C.8B

Front

What is an independent system of equations?

Back

An independent system of equations has exactly one solution, as the lines intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

What is an inconsistent system of equations?

Back

An inconsistent system of equations has no solution, as the lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you write a linear equation from a word problem?

Back

To write a linear equation from a word problem, identify the variables, translate the relationships and conditions into mathematical expressions, and form an equation.

Tags

CCSS.8.EE.C.7B

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3