5.35 Solving Systems of Equations (Mixed)

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?

Back

Finding 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 equations?

Back

The intersection points of the lines represented by the equations on a graph.

Tags

CCSS.8.EE.C.8A

Front

What are the possible outcomes when solving a system of equations?

Back

1. One solution (intersecting lines), 2. No solution (parallel lines), 3. Infinite solutions (same line).

Tags

CCSS.8.EE.C.8B

Front

How do you determine if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to eliminate a variable?

Back

To remove a variable from the equations to simplify the system and solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you find the x-coordinate of the intersection point of two lines?

Back

By solving the system of equations for x using substitution or elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the importance of the coefficients in a system of equations?

Back

They determine the slope and position of the lines represented by the equations.

Tags

CCSS.8.EE.C.8A