Systems of linear equations

Systems of linear equations

Assessment

Flashcard

Mathematics

9th - 12th Grade

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 linear equations?

Back

A set of two or more linear equations in the same variables.

2.

FLASHCARD QUESTION

Front

How can you tell if a point is a solution to a system of linear equations?

Back

The (x,y) coordinates satisfy both equations.

3.

FLASHCARD QUESTION

Front

Solve the system of equations by substitution: y = -4x + 5 and y = 3x - 16.

Back

(3, -7)

4.

FLASHCARD QUESTION

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19.

Back

(2, 5)

5.

FLASHCARD QUESTION

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

6.

FLASHCARD QUESTION

Front

What does it mean if a system of linear equations has no solutions?

Back

The equations represent parallel lines that never intersect.

7.

FLASHCARD QUESTION

Front

Solve the system using any method: -4x - 4y = 0 and 4x + 4y = 0.

Back

Infinite number of solutions.

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