Front

What is a system of equations?

Back

A system of equations is a set of two or more 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 for a system of equations to have one solution?

Back

A system has one solution when the graphs of the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have no solution?

Back

A system has no solution when the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system has infinitely many solutions when the equations represent the same line, meaning they intersect at every point on that line.

Tags

CCSS.8.EE.C.8B

Front

How can you determine the solution of a system of equations graphically?

Back

You can determine the solution by graphing the equations and identifying the point(s) where the lines intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method for solving systems of 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 for solving systems of equations?

Back

The elimination method involves adding or subtracting 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

How do you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into equations, and write them as a system.

Tags

CCSS.8.EE.C.8C

Front

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

Back

Coefficients represent the rate of change of the variables and affect the slope of the lines in the graph.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of the equation y = mx + b?

Back

This equation represents a straight line where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3