Algebra Systems of Equations Practice

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 for a system of equations to have a unique solution?

Back

It means there is exactly one set of values for the variables that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means there are no values for the variables that can satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means there are an unlimited number of values for the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of equations using elimination?

Back

1. Align the equations. 2. Add or subtract the equations to eliminate one variable. 3. Solve for the remaining 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(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system: y = 2x + 1 and y = -x + 4?

Back

(1, 3) - The point where the two lines intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: 3x + 2y = 6 and 6x + 4y = 12?

Back

Infinite solutions - The second equation is a multiple of the first.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system: x + y = 5 and x - y = 1?

Back

(3, 2) - The point where the two lines intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6