Systems of Equations and Linear Inequalities

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

On a graph, the solution to a system of linear equations is given by _____.

• The x-intercept of each line

• The y-intercept of each line

• All points on either line

• The point of intersection of the lines

Look at the graph to the left.

 

Which of the following ordered pairs represents the solution to the system?

• (1, 2)

• (2, 2)

• (2, 1)

• (0, 2)

Jack's work is shown on the left. What can be concluded about the solution to the system based on Jack's work?

• Jack made a mistake

• There is no solution to the system

• There are infinitely many solutions to the system

• There is one solution to the system

Michelle and Julie are 17-year old twins, who decided to save their earnings to buy a car.  One week Michelle worked 8 hours and Julie worked 14 hours, and they saved $128.  The next week Michelle worked 12 hours, Julie worked 16 hours, and they earned $162. Write a system of equations to model the situation. Solve the system to determine how much each girl earns per hour.

Evaluate responses using AI:

OFF

Which is not a solution to the system shown in the graph?

• (-1, 1)

• (0, 1)

• (-1, -1)

• (1, -1)

Which is the solution region for the system of inequalities?

• Region A

• Region B

• Region C

• Region D

Which system of inequalities is shown in the graph?

Look at the system of equations below: y=ax+c y=bx+d For the system to have no solution, what must be true of a and b?