Solving Systems of Equations

Solving Systems of Equations

Assessment

Flashcard

Mathematics

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved simultaneously.

2.

FLASHCARD QUESTION

Front

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

Back

It means that the equations represent the same line, and thus every point on the line is a solution.

3.

FLASHCARD QUESTION

Front

What is the graphical representation of a system of equations?

Back

The solutions can be represented as the intersection points of the lines on a graph.

4.

FLASHCARD QUESTION

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

5.

FLASHCARD QUESTION

Front

What is substitution 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.

6.

FLASHCARD QUESTION

Front

What is elimination 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.

7.

FLASHCARD QUESTION

Front

Solve the system: y = 8x + 9 and 2x + 6y = 8.

Back

(-1, 1)

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