System of Linear Equations Quiz

If the first equation in this system of linear equations is solved for y correctly, then its equivalent equation is y = -2x + 1. Solve the system of equations using the substitution method. What is the value of x?

• -1

• 0

• 1

• 2

The system of linear equations can be solved by elimination. In order to eliminate the x in the system of equations, what operation should be performed on the second equation?

• Add the first equation to the second

• Subtract the first equation from the second

• Multiply the second equation by -2

• Divide the second equation by 2

Use the graph to determine the solution the system of linear equations.

• (4, 5)
• (1, 2)
• (3, 4)
• (2, 1)

Solve the system of equations: 7x - 5y = -6

x - 5y = -18

• x = 2, y = 4

• x = -2, y = 4

• x = 2, y = -4

• x = -2, y = -4

The system of linear equations above has – 6x + 9y = 18

18y = -12x + 36

• A. no solution

• B. one solution

• C. only two solutions

• D. infinite solutions

If the parallel lines graphed below represent a linear system of equations, what can be said about the system of equations?

• A. There is no solution.

• B. There is only one solution.

• C. There are only two solutions.

• D. There are infinite solutions.

Tana has $5.50 in dimes and quarters. She has 8 more quarters than dimes. Represent this situation with a system of linear equations.

• 10d + 25q = 5.50,

  d = q + 8

• 0.25q + 0.10d = 5.50

  q = d + 8

• 0.10 q + 0.25d = 5.50

  q = d + 8

A local community sold 125 concert tickets recently. The dollar amount collected was $835. Adult tickets, A sold for $8 each and children tickets, C sold for $5 each. Which of the following is the correct system of linear equations that models this situation?

• A + C = 125, 8A + 5C = 835

• A + C = 835, 8A + 5C = 125

• 8A + C = 125, A + 5C = 835

• A + 8C = 835, 5A + C = 125

Farmer John has goats and chickens on his farm. The total number of 4 legged goats and 2 legged chickens is 18. His son, Joseph counted 56 animal legs on the farm. How many goats (G) and chickens (C) are on the farm?

• G = 10, C = 8

• G = 11, C = 7

• G = 12, C = 6

• G = 13, C = 5

A bakery sold a combination of 200 muffins and cupcakes. The total sales from these were $600. If muffins, M, were sold for $2 each and cupcakes, C, for $3 each, which of the following represents the correct system of linear equations for this scenario?

• M + C = 200, 2M + 3C = 600

• M + C = 600, 2M + 3C = 200

• 2M + C = 200, M + 3C = 600

• M + 2C = 600, 3M + C = 200