Linear Inequalities, Systems of Equations

Select the correct graph for the inequality.

• A

• B

• C

• D

Solve the following system of equations using the elimination method: You are to submit work to support your answer.

• (-2, 1)

• no solutions

• (-2, 0)

• (-1, -3)

Which point below is NOT part of the solution set? Explain WHY you have chosen this answer. Be specific.

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5. Explain how you know you are correct. Be specific.

• (3, 4)

• (3, 0)

• (2, 1)

• (1, 1)

• (1,3)

• (2,1)

• (3,4)

• (6,2)

Which is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

• 26 color, 30 black and white

• 30 color, 35 black and white

• 60 color

• 30 color, 50 black and white

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

The equation of the line on the graph is

y = -2x + 1

Find the equation of a second line such that the system has no solutions.

• y = -2x + 1

• y = -2x + 4

• y = 2x + 1

• y = 3x + 8

• y = -2(x - 0.5)