Warm-Up 11/16 Let x represent # of hotdogs sold and let y represent # of sodas sold

Opening 11/16

How do we graph standard form equations? You could start by finding the x and y intercepts: Find the y intercept by replacing x with 0 (that means no hot dogs are sold) x +.50y = 200 (0) + .50y = 200 .50y = 200 y = 400 Y – intercept is (0,400) Find the x intercept by replacing y with 0 (that means no sodas are sold) x +.50(0) = 200 x = 200 x – intercept is (200,0)

How do we graph standard form equations? Determine an appropriate scale for your graph Then, plot the x and y intercepts: For example: A scale of 1: 40 would work on the y axis and a scale of 1:20 would work on the x axis

You try example 2 Let x represent cost of 1 adult ticket and let y represent cost of 1 child ticket

Let’s check

Selecting possible values for x and y? Select the correct values for x and y: Adult tickets cost $10 and Child Tickets cost $5  Adult tickets cost $12 and Child Tickets cost $6  Adult tickets cost $9 and Child Tickets cost $8  Adult tickets cost $8 and Child Tickets cost $9  Solution: values that can replace the variables and make the equation true

Selecting possible values for x and y? George has a collection of nickels and dimes. He has a total of 28 coins in his collection which is worth $2.60. Set up a system of equations to model George’s coin collection. Variables: x = nickels, y = dimes Equation 1: .05x + .10y = 2.60 Equation 2: x + y = 28 Select the correct values for x and y (Both equations have to be true: 4 nickels and 20 dimes  40 nickels and 6 dimes  24 nickels and 4 dimes  4 nickels and 24 dimes  Solution: values that can replace the variables and make the equations true

Selecting possible values for x and y? Determine if the point is a solution to both equations: y = 2x – 1 (1, 1) x + 2y = 3   2x – y = 5 (-1, -3) 3x – 2y = 9 4x + 2y = 0 (1, -2) 5x – 2y = -9 Solution: values that can replace the variables and make the equation true

Steps for Writing Equations Highlight all of the important information  Determine your unknowns and select variables to represent these Write the equation to represent the situation Substitute ordered pairs for your variables or values to check your solution Explain what your solution means in terms of the real situation.

Turn in your completion page to your teacher Work Time Your turn to practice Complete questions 1 – 10 Turn in your completion page to your teacher https://www.mathsisfun.com/algebra/finding-intercepts-equation.html Homework: https://www.ixl.com/math/grade-7/does-x-y-satisfy-the-equation

What is a Solution? Explain in your own words what it means to find a solution to an equation algebraically and graphically.