Adv Math: System of equations with two variables

Adv Math: System of equations with two variables

Chapter 2 Lesson 1

Multiple Choice

These two lines intersect at ______.

• (-8, -6)
• (-6, -8)
• (8, -6)
• No solution

Multiple Choice

Where do these two lines intersect?

• No solution
• (-2, 3)
• (3, -2)
• (2, 3)

Multiple Choice

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

Multiple Choice

A consistent system that has exactly one solution

• inconsistent

• consistent

• dependent

• independent

Multiple Choice

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent

Multiple Choice

A system of linear equations is

• three linear equations with the same variables

• two or more linear equations with the same variables

• two or more linear equations with different variables

• one linear equations with one variable

Multiple Choice

Inconsistent system is a system of equations that has

• one solution

• two solutions

• infinitely many solutions.

• has no solution

Multiple Choice

A system of equations that has a least one solution is

• Consistent

• inconsistent

• dependent

• independent

Multiple Choice

How do we know if a system of equations has no solution?

• The lines are not in slope-intercept form (y=mx+b)

• The lines have the same slope and y-intercept

• The lines are perpendicular

• The lines are parallel

Multiple Choice

Which ordered pair is the solution of the system? 

 $6x-6y=2$  

 $3x+9y=-7$  

•  $\left(\frac{2}{3},-\frac{1}{3}\right)$  

•  $\left(\frac{1}{3},\frac{2}{3}\right)$  

•  $\left(-\frac{2}{3},\frac{1}{3}\right)$  

•  $\left(-\frac{1}{3},-\frac{2}{3}\right)$  

Multiple Choice

Which of these systems has an infinite number of solutions?

• 
  

  $y=-2x+1$

  $y=-2x-3$
  

• $y=3x+4$
  $-12x+4y=16$
  

• $x+2y=10$
  $2x+4y=10$
  

• $y=2x+6$
  $4x-2y=8$
  

Multiple Choice

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50