Systems of Equation and Inequality Review

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 no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

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

Solve the below system by graphing:

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

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

• 
• 
• 
• 

• (1,3)

• (2,1)

• (3,4)

• (6,2)

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 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. 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