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Homework 6 Practice: Writing and Graphing Systems of Linear Equations (Alg1.2.12 )

Autor:Brenda Jiménez, IM Algebra 1, Geometry, Algebra 2 , GeoGebra Classroom Activities
Problem 1

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If  represents the number of scarves sold and  represents the number of hats sold, which system of equations represents the constraints in this situation?

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Problem 2

Here are two equations:

Equation 1: Equation 2: Decide whether the   pair is a solution to one equation, both equations, or neither of the equations.

Decide whether the pair is a solution to one equation, both equations, or neither of the equations.

Decide whether the  pair is a solution to one equation, both equations, or neither of the equations.

Is it possible to have more than one  pair that is a solution to both equations? Explain or show your reasoning. 

Problem 3

Explain or show that the point is a solution to this system of equations:

Problem 4: Remembering Graphs

Three siblings are participating in a family-friendly running event.

  • The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time.
  • The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race.
  • The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

Match each graph to the sibling whose running is represented by the graph.

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