Equations with two variables

1. Equations with two variables I can find solutions of equations with two variables and graph the equation.

2. Mary is buying pink and blue cupcakes for her birthday party. She needs a total of 10 cupcakes. How many of each type could she get? If x represents pink and y represents blue, what equations could we use to represent the situation? x + y = 10

3. X + Y = 10 • Complete the table to show the possible answers. Pink (x) Blue (y) • When Mary changes the number of pink cupcakes she buys, the number of blue changes also. Both quantities vary so there are two variables. • When the values in an ordered pair make an equation with two variables true, the ordered pair is a solution.

4. Pink (x) Blue (y) Give three solutions to the problem. Write them as ordered pairs. (x,y) 1. (0,10) (1,9) (8,2) Graph the solutions

5. Tell whether each ordered pair is a solution of the equation. y = -7x + 10; (-3, 31), (7, 59), (0, 10)

6. Use the inequality y = 2x – 4. Complete each solution. • (0, ?) • (50, ?) • (-17, ?)

7. The equation y = 3x + 12 describes the cost y to rent x videos. Complete the solution (8, ?) How much will it cost to rent 8 videos?

8. Graph y = 3x + 4

9. Graph y = -3x - 5

10. Graph y = 3/4x - 1

11. Summarize Explain how to graph the equation y = x + 2.