Algebra 1 Lines Systems

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Using the given graph, what is the solution to the system?

• One Solution

• No solution

• Infinitely Many Solutions

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. Which system of equations best represents the situation?

• 4x + 7y = 578
  x + y = 3365

• 4x + 7y = 3365
  x + y = 578

• 4y + 7x = 578
  x + y = 3365

• 4y + 7x = 3365
  x + y = 578

Which of the following situations does not lead to a system having no solution?

• All the variables cancel out and you are left with a false statement like 4 = 7.

• All the variables cancel out and you are left with a statement that is always true such as 3=3.

• When you solve for a variable, all possible solutions are imaginary numbers.

• All systems of equations have at least one solution.

Solve the system of equations by graphing:
y = 2x + 3 
y = 3x² - 5?

• No Solution

• (0.33, -1.33), (7,2)

• (-1.33, 0.33), (2,7)

• (1.215, -0.569), (-0.549, -4.097)

Solve the system of equations by graphing:
y = 2x
y = 3x³ 

• (-0.816, -1.633), (0,0), (0.816, 1.633)

• (0,0)

• No Solution

• (0,0), (0.667, 1.33)

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

This system has _____ solutions

• No

• 1

• 2

• Infinitely many

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these