1. Verifying Solutions

2. Warm - Up
To find your new seat, take a card and solve the problem. Then, follow the seating chart to see where your seat is located.

3. Table of Contents
4: Warm-Up, Guided Practice
5: How Do I Verify Solutions of Equations?

4. Warm - Up
Determine if the following solutions are correct. Justify your answers
12 – 7c = 54 c = 6
2(3w + 4) = 5 w = -2

5. Warm - Up
Determine if the following solutions are correct. Justify your answers
1. 12 – 7c = (3w + 4) = c = 6 w = -2
No, 6 is not a solution to the equation
No, -2 is not a solution to the equation

6. Learning Intention/Success Criteria
LI: We are learning to verify solutions to linear equations SC: I know how to -use the order of operations -show solutions to equations are in the form (x, y) -explain that solution to an equation is true if and only if it lies on the line of the equation -solve for an input value of a function corresponding to an specified output value, algebraically.

7. EQ: How Do I Verify Solutions to Equations?
9/17/2018

8. Parenthesis PEMDAS Exponents Multiplication Left to right Division
Addition
Left to right
Subtraction

9. A mathematical sentence built from expressions using an equal sign
Equation
Any and all values of the variables that satisfy an equation, inequality, system of equations, or system of inequalities
Solution

10. Ordered Pair
The set of numbers giving the location of a point on a coordinate plane
Two numbers written in the form: (x, y)
Also known as a point

11. Example 1: Is the ordered pair a solution to the equation?
y = -3x + 5 Pt: (2, -1)
y = - 3x + 5
- 1 = - 3(2) + 5
- 1 =
- 1 = - 1
Yes, the point (2, -1) is a solution to the equation, y = - 3x + 5 x y

12. Guided Practice 1
Is the following point a solution to the given equation? y = - 2x – 7 Point: (6, -19)

13. Guided Practice 1 (Poll)
Is the following point a solution to the given equation? y = - 2x – 7 Point: (6, -19)
A) Yes, it is a solution B) No, it is not a solution

14. Guided Practice 2
Is the following point a solution to the given equation? y = - 2x – 7 Point: (-4, 1)

15. Guided Practice 2 (Poll)
Is the following point a solution to the given equation? y = - 2x – 7 Point: (-4, 1)
A) Yes, it is a solution B) No, it is not a solution

16. Reflection
How do you know if an ordered pair is a solution to an equation?
Predict: Assuming the line is linear, where would the solution lie on the graph, if the ordered pair was a solution?

17. Example 2: Is the ordered pair a solution to the equation?
y = -3x + 5 Pt: (3, -5)
y = - 3x + 5
- 5 = - 3(3) + 5
- 5 =
- 5 = - 4
No, the point (3, -5) is not a solution to the equation, y = - 3x + 5 x y

18. Guided Practice 3
Is the following point a solution to the given equation? y = - 2x – 7 Point: (-2, 6)

19. Guided Practice 3 (Poll)
Is the following point a solution to the given equation? y = - 2x – 7 Point: (-2, 6)
A) Yes, it is a solution B) No, it is not a solution

20. Guided Practice 4
Is the following point a solution to the given equation? y = - 2x – 7 Point: (0, 8)

21. Guided Practice 4 (Poll)
Is the following point a solution to the given equation? y = - 2x – 7 Point: (0, 8)
A) Yes, it is a solution B) No, it is not a solution

22. Reflection
How do you know if an ordered pair is not a solution to an equation?
Predict: Assuming the line is linear, where would the solution lie on the graph, if the ordered pair was not a solution?

23. Activity
At your table, your group will decide if a point given to you is a solution to the equation: y = 5 – 2x If it is a solution, write true. If it is not a solution, write false. Then, explain your answer to the class and why you chose it as you go up to graph it.

24. Activity Groups
Table 1: Point B: (-5, 4) & Point C: (0, 5) Table 2: Point D: (7, -9) & Point E: (3, -4) Table 3, 4: Point F: (2, 1) & Point G: (7, 6) Table 5: Point H: (1, 3) & Point I: (-9, 7) Table 6: Point J: (3, -1) & Point K: (-2, 7) Table 7: Point L: (0, 0) & Point M: (7, -6) Table 8: Point N: (5, 0) & Point P: (3, 4)

25. Reflection
What do you notice about all the “true” points versus the “false” points?

26. Quiz
Does the given ordered pair satisfy the linear equation?
Equation
Ordered Pair
Yes/No
y = 5x
(1, 5)
y = 2x – 7
(2, -3)
y = -11x + 4
(0, 4)
y = - x
(1, 1)

27. Homework
Things you should be doing right now…
Working on your homework
Working on your MiMOW
Checking your work on the class website
Listening to music if you have head phones and no one else can hear your music