Systems of Equations and Linear Inequalities

What is the solution to this system of equations?

• Infinite Solutions

• One Solution

• No Solution

• (0, 0)

Use Elimination method to solve this system

• (6,-6)

• (-6,6)

• (6,6)

• (-6,-6)

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find x, the number of regular fares paid, and y, the number of reduced fares paid?

• A

• B

• C

• D

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 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

Which system of equations is best represented by lines h and j?

• 
• 
• 
• 

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

The equation of the line on the graph is 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