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Linear Equations and Systems Concepts

Linear Equations and Systems Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers systems of linear equations, starting with a review of linear equations in two variables and progressing to three variables. It explains the general form of these equations and how they can be represented graphically. The tutorial then delves into solving systems of equations using substitution and elimination methods, highlighting different types of solutions, including unique, infinite, and no solutions. The video concludes with examples illustrating these concepts.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a linear equation in two variables?

ax^2 + by^2 = c

ax^2 + by = c

ax + by + cz = d

ax + by = c

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an example of a linear equation in two variables?

2x^2 + 3y = 7

2x + 3y + z = 7

2x + 3y = 7

2x^2 + 3y^2 = 7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a linear equation in two variables be represented graphically?

As a curve

As a plane

As a point

As a straight line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a linear equation in three variables?

ax + by = c

ax^2 + by + cz = d

ax + by + cz = d

ax^2 + by^2 + cz^2 = d

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is a linear equation in three variables represented graphically?

As a plane

As a straight line

As a curve

As a point

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What defines a system of linear equations in three variables?

One equation with three variables

Three equations with different variables

Two equations with different variables

Three equations with the same three variables

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a system of linear equations in three variables?

x + y + z = 1, 2x + 3y + 4z = 5, 3x + 2y + z = 6

x + y + z = 1, 2x + 3y + 4z = 5, 3x + 2y + z = 6

x + y + z = 1, 2x + 3y + 4z = 5, 3x + 2y + z = 6

x^2 + y + z = 1, 2x + 3y + 4z = 5, 3x + 2y + z = 6

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