Systems of Linear/Quadratic Equations and Inequalities

A solution to the system of inequalities:           y < -1/2x + 3 and y < (x+1)² is : 

• (0, 6) 

• (-1, 4)

• (2, 1)

• (3, 4)

Tags

CCSS.HSA.REI.C.7

Find the solution.

• (2,3) and (3,4)

• (-3,-15) and (4,-8)

• (-3,10) and (8,4)

• (-8,3) and (-4,10)

Tags

CCSS.HSA.REI.C.7

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Tags

CCSS.HSA.REI.C.7

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Tags

CCSS.HSA.REI.C.7

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8C

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

Tags

CCSS.HSA.REI.D.12

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

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.HSA.CED.A.3

• A

• B

• C

• D

Tags

CCSS.8.EE.C.7A