Flashcard- Systems of Equations Part 1

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The solution is the point where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

Define the term 'variable' in the context of equations.

Back

A symbol, often represented by letters, that stands for a number that can change or vary.

Tags

CCSS.6.EE.A.2B

Front

What is the purpose of using a system of equations in real-life problems?

Back

To find the values of variables that satisfy multiple conditions or constraints simultaneously.

Tags

CCSS.8.EE.C.8C

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, write equations based on the relationships described, and ensure they reflect the problem's constraints.

Tags

CCSS.HSA.CED.A.3

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.HSF.LE.B.5

Front

How can you check if a solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system, as the lines never intersect.

Tags

CCSS.8.EE.C.8B