Notes: Graphing System of Equations

SOL A1.4e

Name: ______Date: ______

Examples:

5) 6)

When finding the solution to a system of equation, ______
______

To do this, ______. Therefore, the equation must
be put in ______.

______

Graph the following system of equations and state the solution set.

Procedures / /
Put each equation in Slope-
Intercept Form
Identify the slope and y-
intercept / m = ______b = ______/ m = ______b = ______
Draw each line on the same grid to the right /
Graph each equation in the graphing calculator and answer the following questions. / a)What type of lines are there? ______
b)What type of solutions are there? ______
c)Where is/are the solution(s) located? ______
2) / /
Put each equation in Slope-
Intercept Form
Graph each equation on the same graph to the right. /
Graph each equation in the graphing calculator and answer the following questions. / a)What type of lines are there? ______
b)What type of solutions are there? ______
c)Where is/are the solution(s) located? ______
3) / /
Put each equation in Slope-
Intercept Form
Graph each equation in the graphing calculator and answer the following questions. / a)What type of lines are there? ______
b)What type of solutions are there? ______
c)Where is/are the solution(s) located? ______
d)What do you notice about the equations when they are in slope intercept form AND do you think this has an effect on the solution?
______
______
4) / /
Put each equation in Slope-
Intercept Form
Graph each equation in the graphing calculator and answer the following questions. / a)What type of lines are there? ______
b)What type of solutions are there? ______
c)Where is/are the solution(s) located? ______
d)What do you notice about the equations when they are in slope intercept form AND do you think this has an effect on the solution? ______
______

APPLICATION OF SYSTEMS OF EQUATIONS

Finally, ______

1) The school is selling tickets to a band concert. On the first day of ticket sales, the school sold 3 adult tickets and 1 student tickets for a total of $28. The school took in $32 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a student ticket and an adult ticket.

Equation in Words / Variables / Equation with Numbers/Variables / Equation in Slope-Intercept Form
1)
2)

Graph each equation. Where is the solution set located? ______

Remember what x and y equals when it relates the word problem: x = ______and y = ______

What does the solution set mean? ______

______

2) You are getting ready to move and have asked some friends to help. For lunch, you buy the following sandwiches at the local deli for $30: six ham sandwiches and six turkey sandwiches. Later at night, everyone is hungry again and you buy four ham sandwiches and eight turkey sandwiches for $30.60. What is the price of each sandwich?

Equation in Words / Variables / Equation with Numbers/Variables / Equation in Slope-Intercept Form
1)
2)

Graph each equation using a graphing calculator. Where is the solution set located? ______

Remember what x and y equals when it relates the word problem: x = ______and y = ______

What does the solution set mean? ______

______

3) The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 50 hot dogs and hamburgers and brought in $75.50. How many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

Equation in Words / Variables / Equation with Numbers/Variables / Equation in Slope-Intercept Form
1)
2)

Graph each equation using a graphing calculator. Where is the solution set located? ______

Remember what x and y equals when it relates the word problem: x = ______and y = ______

What does the solution set mean? ______

______