Systems of Equations and Inequalities

Solve the system of equations
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system of equations
y = 5x + 1
y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

Given the following systems of inequalities, which region should be shaded?

• 1

• 2

• 3

• 4

The solution to this system is...

• (4, -2)

• (4, 2)

• (-2, 4) 

• (-4, -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

Is (-2,4) a solution to the system?

• Solution

• Not a solution

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 is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

This system has no solutions, TRUE or FALSE?

• TRUE

• FALSE

Determine whether each ordered pair is a solution or not a solution to this system of inequalities.

y≥−x ​

2x+y>2

• Not a solution

• (2,-2)

• Not a solution

• (0,0)

• Not a solution

• (2,3)

• Solution

• (4, -5)

• Solution

• (5,6)