Serena is hitting golf balls at the driving range. When she hit a ball with her 9-iron, it stopped x yards in front of the 100-yard marker. She knows she can hit a ball twice that far if she uses her driver. Complete the steps below to see how far Serena can hit a golf ball with her driver.
Write an expression in terms of x that represents the distance Serena hit the golf ball using her 9-iron.
Serena knows she can hit a golf ball two times as far with her driver as with her 9-iron. Write an expression in terms of x to represent how far Serena can hit a ball using her driver.
Use the Distributive Property to expand the expression you obtained in part B.
Let’s try something a bit different. Serena hit a ball 2x yards past the 150-yard marker with her 3-iron. Write an expression in terms of x that represents this distance.
Now use the Distributive Property to factor the expression you obtained in part D.
Why do you think the operation that you performed on the expression in part E is called factoring? Use what you know about factoring numbers.
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