Test #12 - Algebra 3

Front

What is a system of equations?

Back

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 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

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines or curves on a coordinate plane, where the intersection points represent the solutions.

Tags

CCSS.8.EE.C.8B

Front

What is a transformation in algebra?

Back

A change made to a function or graph, such as translation, reflection, or dilation.

Front

What does a rightward transformation of a graph indicate?

Back

It indicates that the graph has been shifted to the right by a certain number of units.

Front

How do you represent a real-world situation with a system of equations?

Back

Identify the variables, create equations based on the relationships, and ensure they reflect the constraints of the situation.

Tags

CCSS.8.EE.C.8C

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to formulate equations to solve for these unknowns.

Tags

CCSS.7.EE.B.4A

Front

What is the elimination method for solving systems of equations?

Back

A method where you add or subtract 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

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

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Tags

CCSS.8.EE.C.8B