Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 substitution method?

Back

The substitution method involves solving one of the equations 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?

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 graphing in the context of systems of linear equations?

Back

Graphing involves plotting the equations on a coordinate plane and identifying the point(s) where the lines intersect, which represent the solution(s) to the system.

Tags

CCSS.8.EE.C.8B

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Tags

CCSS.5.G.A.1

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers, and A is non-negative.

Front

What is an isolated variable?

Back

An isolated variable is a variable that is expressed alone on one side of the equation, making it easier to substitute into another equation.

Tags

CCSS.HSA.CED.A.4

Front

What is the first step in solving a system by substitution?

Back

The first step is to make sure one of the equations has an isolated variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the three methods for solving systems of linear equations?

Back

The three methods are graphing, substitution, and elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6