Systems-Substitution Method

Front

What is a solution to a system of equations?

Back

It's the point that solves both equations at the same time.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If Erin is 3 years younger than twice Alex's age and their ages combined are 33, what system of equations represents this situation?

Back

x + y = 33, y = 2x - 3

Tags

CCSS.HSA.CED.A.3

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1

Back

(1,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve: 8x + 4y = 12 and y = -2x + 3

Back

Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Front

Solve for x and y: 2x − 3y = −1 and y = x − 1

Back

(4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the substitution method involve?

Back

Replacing one variable with an expression from another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one of the equations for one variable.

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

There is no solution to the system.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The equations represent the same line.

Tags

CCSS.8.EE.C.8A