Unit 4 Review - Systems of Equations

Jenna and Tyler decided to meet each other from their houses. Jenna started walking from her house towards. Tyler's house, and Tyler left his house at the same time, walking toward Jenna's house. we both walked along the same road and met after a water. The graph below shows the distances, f(x), from Jenna's house, in miles, after x hours of walking.

Which system of equations represents the graph lines?

• f(x) = ½x + 4

  g(x) = -¾x - 1

• f(x) = ½x - 4

  g(x) = -¾x + 1

• f(x) = 2x + 4

  g(x) = -¾x - 1

• f(x) = 2x + 4

  g(x) = -¾x + 1

Angie and Evan spent the day at the Conroe Christmas, enjoying their favorite activities: Snow Hill and the carousel. Their tickets were stamped each time they rode. Angie rode the carousel twice while Evan rode three times. Evan also rode Snow Hill six times while Angie rode three times. By the end of the day, their total spending was recorded on their tickets as seen in the image.

Let x represent the cost of riding Snow Hill and y represent the cost of riding the carousel, which system of equations represents the situation?

• 3x + 2y = 39

  6x + 3y = 21

• 2x + 3y = 21

  3x + 6y = 39

• 3x + 2y = 21

  6x + 3y = 39

• 3x - 2y = 21

  6x - 3y = 39

A system of linear equations is represented by line h and line j. A table representing some points on line h and a graph of line j are shown.

Which system of equations is best representing lines h and j?

Tags

TEKS.MATH.A.5C

Answer explanation

• (-5, 5)

• (5, -5)

• There is no solution.

• There are infinitely many solutions.

See image.

• Yes, Jose worked the problem correctly.

• No, Jose did not multiply the first equation properly.

• No. Jose did not add the equations properly.

• No, Jose did not choose the correct solution. It is infinitely many solutions.

Which graph best represents a system of equations that has no solution? See image.

• A

• B

• C

• D

The graph shows the cost of bowling including shoes at two different bowling ally's. About how many games would you have to play to spend the same amount of money?

• 4

• 8

• 7

• 10

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