Directions: Read Jennifer’s Task. Use the process charts in the previous sections to answer the questions that follow.

Jennifer’s Task

Jennifer is given the following test prep question to complete for homework.

Which ordered pair is NOT a solution to the equation
2x + 4y = 12?

  1. (-3, 4.5)
  2. (2, 2)
  3. (2, 2.5)
  4. (0, 3)

Jennifer is not comfortable solving the equation for y.

Which process chart should Jennifer use to solve this problem and why?

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Check Your Answer

Jennifer should use the process chart entitled Given an Equation/Inequality and a point (ordered pair), determine if the point is a solution because the problem gives ordered pairs and an equation. Close Pop Up

 

According to the process chart, what steps should Jennifer take to solve this problem?

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Check Your Answer

According the process chart, because Jennifer is not comfortable solving for y, she should use the substitution method and substitute each ordered pair into the equation until she finds the one that does NOT yield a true statement. Close Pop Up

 

What other methods could have been used to solve this problem?

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Check Your Answer

Your answer might vary, but here's one method Jennifer could have used. If she is familiar and comfortable with x and y intercepts, Jennifer could have graphed the equation using x and y intercepts or a table of values, and determined which point did not lie on the graphed line. Close Pop Up