Review of Linear Systems of Equations and Inequalities

Which of the following situations would result in no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

You decide to solve the below system of equations using elimination and first want to eliminate the x variable. Which option below would be the best first step? -4x+9y=-17 3x-4y=10

• Multiply the first equation by 4 and the second equation by 9.

• Multiply the first equation by -3 and the second equation by 4.

• Multiply the first equation by 3 and the second equation by -4.

• Multiply the first equation by 3 and the second equation by 4.

Which of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

Which of the following IS a solution to this system of inequalities? (more than one may be selected)

• (0,-1)

• (0,3)

• (-6,0)

• (6,-2)

• (8,5)

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

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 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

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

• 
• 
• 
• 

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• coincident lines