solving rational equations, Lecture notes of Mathematics

8.6 solving rational equations and its homework, 13 questiona 3 of them being word problems

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2024/2025

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Name: _________________________ Class: _______________________ Date: _______________________
8.6 Solving Rational Equations
Solve the equation. Check the Solutions.
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11. A person’s 3-point field goal percentage is determined by dividing the number of 3-point field goals made by
the number of 3-point field goals attempted. Eric has made 12 out of 32 3-pointers and has a 3-point field goal
percentage of 37.5%.
a. He wants to have a 3-point field goal percentage of 50%. Write an equation that can be used to determine x,
the number of 3-pointers he has to make in a row to have a 3-point field goal percentage of 50%?
b. How many 3 pointers will Eric have to make?
12. A chemistry teacher has 10 liters of 47% hydrochloric acid. She wants to add water to dilute the solution to be
19% hydrochloric acid. How much water, w, will she need to add to the solution so that it is 19%
hydrochloric acid.
13. A circuit has a resultant resistance of , when two resistors are combined. A student wants to calculate the
resistance, x, needed for the resultant resistance and needs to solve the equation . Find the resulting
resistance x.

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Name: _________________________ Class: _______________________ Date: _______________________

8.6 Solving Rational Equations

Solve the equation. Check the Solutions.

  1. A person’s 3-point field goal percentage is determined by dividing the number of 3-point field goals made by the number of 3-point field goals attempted. Eric has made 12 out of 32 3-pointers and has a 3-point field goal percentage of 37.5%. a. He wants to have a 3-point field goal percentage of 50%. Write an equation that can be used to determine x , the number of 3-pointers he has to make in a row to have a 3-point field goal percentage of 50%? b. How many 3 pointers will Eric have to make?

  2. A chemistry teacher has 10 liters of 47% hydrochloric acid. She wants to add water to dilute the solution to be 19% hydrochloric acid. How much water, w , will she need to add to the solution so that it is 19% hydrochloric acid.

  3. A circuit has a resultant resistance of , when two resistors are combined. A student wants to calculate the resistance, x , needed for the resultant resistance and needs to solve the equation. Find the resulting resistance x.