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Curipod generated lesson: "Systems of equations three variables". #11-13

Updated 5 months ago

1. Drawings

410 seconds

GRAPH THE SYSTEM TO SOLVE

2. Open question

180 seconds

What is a system of equations?

3. Open question

210 seconds

Why is the ordered pair (1,1) a solution to the equation y = x ?

4. Poll

20 seconds

What is the equation that matches the graph?

- y = x + 8
- x = 8
- y + 8 = x
- x y z = a b c

5. Poll

20 seconds

What is the equation that matches the graph?

- y = 3
- x = 3
- y + x = 3
- x y z = a b c

6. Word cloud

120 seconds

What are three-variable systems of equations used to solve?

7. Slide

60 seconds

A system of equations with three variables is a set of three equations that each have three variables. To solve these equations, you must determine the values of all three variables. Using elimination or substitution, you can find the solution to the system of equations.

Systems of Equations with Three Variables

8. Slide

60 seconds

System of Equations - A mathematical expression consisting of two or more equations, which are to be solved simultaneously. Solution of a System of Equations - A set of values for each of the variables in a system of equations that satisfies each equation in the system. Degree of a System of Equations - The highest degree (exponent) of any of the terms in the equations of the system.

Concepts:

9. Poll

60 seconds

What is the best approach to solve a system of equations with three variables?

- Graphing
- Substitution
- Elimination
- Other

10. Slide

60 seconds

The system of three variables is called a cubic equation because it involves an equation with a degree of three. Every system of three equations can be represented as a 3-dimensional graph. A cubic equation can have up to three different real solutions, or no real solutions at all.

Did you know?

11. Open question

300 seconds

What is the importance of understanding systems of equations in three variables?

12. Open question

300 seconds

What strategies can you use to solve a system of equations in three variables?

13. Open question

300 seconds

How did you reach the solution for this system of equations?

14. Open question

300 seconds

What methods or techniques did you use to solve this system of equations?

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