Solve Systems of Equations - Flashcard Review

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 if a system of equations has no solution?

Back

It means that the equations represent parallel lines that 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

How do you determine if a system of equations has infinite solutions?

Back

If the equations represent the same line, they have infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system of equations by substitution: y = 2x + 3 and 3x + y = 12. What is (x, y)?

Back

(3, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations by elimination: 2x + 3y = 6 and 4x + 6y = 12. What is (x, y)?

Back

Infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be consistent?

Back

A system is consistent if it has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

A system is inconsistent if it has no solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve the system of equations: 3x + 4y = 10 and 2x - y = 1. What is (x, y)?

Back

(2, 1)

Tags

CCSS.HSA.REI.C.9