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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?

Marca todas las que correspondan
  • A
  • B
  • C
  • D
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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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