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SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION

SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION

Assessment

Flashcard

Mathematics, Other

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

2.

FLASHCARD QUESTION

Front

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

Back

A system of equations has no solution if the equations represent parallel lines, which means they have the same slope but different y-intercepts.

3.

FLASHCARD QUESTION

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

An infinite number of solutions occurs when the equations represent the same line, meaning they have the same slope and y-intercept.

4.

FLASHCARD QUESTION

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

5.

FLASHCARD QUESTION

Front

How can you identify a consistent system of equations?

Back

A consistent system of equations has at least one solution, which can be either a unique solution or infinitely many solutions.

6.

FLASHCARD QUESTION

Front

What is the first step in using the elimination method?

Back

The first step is to manipulate the equations, if necessary, to align the coefficients of one variable so that they can be eliminated.

7.

FLASHCARD QUESTION

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients determine the slope and position of the lines represented by the equations, affecting whether they intersect, are parallel, or are the same line.

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