Is the point a solution to the system?

Is the point a solution to the system?

Assessment

Flashcard

Mathematics

9th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a solution to a system of equations?

Back

A solution is a set of values for the variables that makes all equations in the system true.

2.

FLASHCARD QUESTION

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation. If both equations are true, the point is a solution.

3.

FLASHCARD QUESTION

Front

What does it mean if a point satisfies an equation?

Back

It means that when the x and y values of the point are plugged into the equation, the equation holds true.

4.

FLASHCARD QUESTION

Front

What is the first step to check if (4, 1) is a solution for the system y = -x + 5 and y = 2x - 7?

Back

Substitute x = 4 and y = 1 into both equations.

5.

FLASHCARD QUESTION

Front

Is (4, 1) a solution for the system y = -x + 5 and y = 2x - 7?

Back

Yes, it satisfies both equations.

6.

FLASHCARD QUESTION

Front

What is the result of substituting (-3, -7) into the equations y = 4x + 5 and y = x - 4?

Back

Both equations are true, so (-3, -7) is a solution.

7.

FLASHCARD QUESTION

Front

What happens if a point does not satisfy one of the equations in a system?

Back

The point is not a solution to the system.

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