“It’s in the System” Quiz 1 Review
1.
Name______________________ per___
The students at Woodward Middle School wanted to encourage people to buy tickets to the spring
musical early. Tickets purchased at the door cost $6 and tickets purchased in advance only cost $4.
Receipts from ticket sales totaled $2000, and there were 410 tickets sold.
a. Use x to represent the number of tickets sold at the door and y to represent the number of tickets sold in
advance. Write a system of equations that represent the reported information about receipts from ticket
sales and the total number of tickets.
2. For each equation in Exercise 1, find the x
and y intercepts.
3.
Then, plot the points with those coordinates and use the
pattern to draw a graph of each equation. Graph both
equations on the same coordinate grid.
Determine the coordinates of the intersection point for the graphs in Exercise 2. What do these coordinates
tell you about the tickets sold? Explain.
4. Write each equation in standard (Ax + By = C) form.
b. x = –5y + 6
a. y = 8 + 3x
5. Write each equation in slope intercept (y = mx + b) form.
b. –9x + 3y = 27
a. 5x + 7y = 70
6. Write the equation for the line parallel to y = 3x - 14 that goes through the point (10,5)
7. Write the equation for the line perpendicular to y = 3x – 14 that goes through the point (9,15)
8. Algebraically find the solution to the system: y{ Y = 7x + 4
Y= -5x - 20