Systems of Equations and Inequalities

• A
• B
• C
• D

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

Which of the following points is a solution to the system of linear inequalities represented by the graph?

• (-3, 1)

• (0, 3)

• (2, 1)

• (-5, 1)

The graph shows two lines representing the equations y = -x + 4 and -2x + y = 3.

Which ordered pair is in the solution set for the system of inequalities y > -x + 4 and -2x + y < 3

• (4,3)

• (4,-2)

• (1,6)

• (2,5)

The graph shows two lines representing the equations y = -x + 4 and -2x + y = 3.

Which ordered pair is in the solution set for the system of inequalities y > -x + 4 and -2x + y < 3

• (4,3)

• (4,-2)

• (1,6)

• (2,5)

​ ​ (a)   ​ ​ (b)  

The two types of tickets sold at a baseball game are standard tickets and discounted tickets. The price of a discounted ticket was 80% of the price of a standard ticket. There were 153 standard tickets sold at the baseball game. There were 47 discounted tickets sold at the baseball game. The total amount of tickets sales from the standard and discounted tickets was $2,649.34. The line graphed on the grid represents the first equation in a system of linear equations for this situation. If the second equation in the system is y = 0.80x, what is the best estimate of the price of a discounted ticket?

• $13.95

• $14.55

• $13.25

• $11.15

The equation of the line on the graph is

y = -2x + 1

Find the equation of a second line such that the system has infinitely many solutions.

• y = -2x + 1

• y = -2x + 4

• y = -2(x + 1)

• y = 3x + 8

• y = -2x + 9