Module 6 Review (systems)

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

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot each equation on the same graph and identify the point(s) where the lines intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has no solution?

Back

A system has no solution if the lines are parallel, meaning they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in 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 in 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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

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

Tags

CCSS.HSA.CED.A.3

Front

What is the importance of defining variables in a word problem?

Back

Defining variables helps clarify what each quantity represents, making it easier to set up equations and solve the problem.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Front

In the context of a word problem, what does 'x' typically represent?

Back

'x' often represents an unknown quantity that you are trying to find, such as the number of items sold or the amount of money.

Tags

CCSS.6.EE.B.6

Front

How do you check the solution of a system of equations?

Back

To check the solution, substitute the values back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6