Equations with Solution Sets

At a local movie theater, the price for tickets is $10.00 for adults and $5.50 for students. The price of adult tickets increases by $0.20 each year, and the price of student tickets increases by $0.50 each year. The equations y = 0.20x + 10 and y = 0.50x + 5.5 represent the situation, where x represents the number of years since the first year, and y represents the price of the tickets. After how many years will the ticket prices be the same?

Mathematical Equivalence

ON

Which graph could be used to represent the following system of equations? y = 3x y = -3/4x + 2

• 
• 
• 
• 

Label each line with the correct equation.

d

e

f

g

What is the solution of the system?

• (-2, 4)

• (2, 4)

• (-4, 2)

• (4, -2)

Verizon costs $15 every month, plus an extra 30 cents per text. AT&T is offering unlimited texting for $30 every month. y = 0.3x + 15 y = 30 If you send an average of 40 texts each month, which plan is a better deal for you?

• Verizon

• AT&T

• Choose this if you have no idea but will persist to ask me how math can help you in the future

• Not enough information

• They're equal

a system of equation that have different slopes will always intercept at least once

• One solution

• No solution

• Infinite solutions

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Solve the system of equations.

• (-23, 4)

• (-4, -3)

• (-2, -4)

• No solution

• Infinite solutions

Solve the system of equations.

• (11, 21)

• (3, 11)

• (11, -67)

• No solution

• Infinite solutions