1. 5)_____6) ______ {(-20, -38); (-10, -18); (0, 2); (10, 2)} 7)_____ Name:________________________________________________________________________________Date:_____/_____/__________ QUIZ DAY! Fill-in-the-Table with the missing vocabulary terms: xy 1)______________________________________ 2)________________________________________ InputOutput Fill-in-the-blanks: 3) 4) What is the range of the following relation? ) {(-2, 4); (-1, 5); (0, 6); (1, 7)} R = {______________________} Are the following relations functions? Answer “yes” or “no.” Function A special type of ____________ where there is one and only one range (y) value for every domain (x) value. In other words, x can NOT repeat! xy -3010 040 -3070 60100 Write the equation for each of the below tables (remember the magic # shortcut): 8) 9) 10) xy 0 11 23 3___ Equation: xy 16 211 316 4___ Equation: xy -22 0 0-2 1___ Equation:

2. Name:________________________________________________________________________________Date:_____/_____/__________

3. Today’s Lesson: What: Linear Equations (Functions) Why: To solve linear equations, and to graph the result on the coordinate plane. What: Linear Equations (Functions) Why: To solve linear equations, and to graph the result on the coordinate plane. Just plug in the “x” values!

4. Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y = 3x + 2 What is it?: 2 In the following examples, you will see that the equation is given to you– this is the function rule. You will also see that the inputs (x values) are given to you. To solve, we simply “plug” the inputs (x) into the equation. The result is the output (or y values)!

5. x y = 2x - 1y 0 1 2 Just plug in the “x” values! 1 y = 2 (-1) – 1 y = -2 – 1 y = -3 y = 2 (0) – 1 y = 0 – 1 y = -1 y = 2 (1) – 1 y = 2 – 1 y = 1 y = 2 (2) – 1 y = 4 – 1 y = 3 examples: -3 1 3 Just plug in the “x” values!

6. x y = x + 8y 0 1 2 2 7 8 9 10 Just plug in the “x” values!

7. 3 xy -4 -2 0 2 20 14 8 2 y = 8 – 3x Just plug in the “x” values!

8. xy -4 -2 0 2 4 -10 -8 -6 -4 x = y + 6 Careful. “x” can be anywhere in equation...

9. 5 If you aren’t given a table, make one! It’s okay to have some fraction output (y) values! Solve: x + 2y = 4

10. Equation: y = 2 – 3x Graph: Table: Remember, every input /output (x,y) combo represents a point on the coordinate plane! Notice the straight line!! It’s no surprise that a linear equation graphs as a straight line! xy -2 0 1 8 5 2 6

11. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

12. Examples: Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y= 3x + 2 x y = 2x - 1y 0 1 2 x y = x + 8y 0 1 2 xy -4 -2 0 2 Math-7 NOTES DATE: ______/_______/_______NAME: Just plug in the “x” values! 1324 y = 2 (-1) – 1 y = -2 – 1 y = -3 y = 2 (0) – 1 y = 0 – 1 y = -1 y = 2 (1) – 1 y = 2 – 1 y = 1 y = 2 (2) – 1 y = 4 – 1 y = 3 What: Linear Equations (Functions) Why: To solve linear equations, and to graph the result on the coordinate plane. What: Linear Equations (Functions) Why: To solve linear equations, and to graph the result on the coordinate plane. y = 8 – 3x x = y + 6 xy -4 -2 0 2 In the following examples, you will see that the equation is given to you– this is the function rule. You will also see that the inputs (x values) are given to you. To solve, we simply “plug” the inputs (x) into the equation. The result is the output (or y values)! Careful. “x” can be anywhere in equation...

13. Equation: y = 2 – 3xGraph: Table: (show work below) 56 xy -2 0 1 If you aren’t given a table, make one! It’s okay to have some fraction output (y) values! Solve AND Graph: Solve: x + 2y = 4

14. Solve: 1) 2) 3) 4) Solve (Make your own table, and choose your own x values): 5) y = -8x 6) y = -4x - 1 x y = x + 1y 0 1 2 xy -2 0 2 4 x y = x - 5y 0 1 2 xy -10 -5 0 5 Math-7 PRACTICE/ Homework NAME:________________________________________________________________________________ DATE: _____/_____/__________ y = 3x + 2 y = -4x

15. Equation: y = -x + 2Graph: Table: (show work below) Solve. Be careful– plug x values in exactly where you see x. You will then need to solve for y. 7) 8) xy 0 1 2 xy 0 1 2 x = y + 2 x = 2y - 3 xy -3 1 3 9) 10) Equation: y = 3x – 1Graph: Table: (show work below) xy 0 1 2