standard_description: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
problem_activity: Problem 1
Two similar situations are shown below. How are they similar and how are they different?
A pair of sneakers regularly cost $40. They are on sale for 25% off. How much money will you save?
A pair of boots are on sale for $40 off. This is a savings of 25%. What is the regular price of the boots?
Problem 2
The Alden Middle School has a girls’ soccer team and a boys’ soccer team.
The girls’ soccer team won 80% of its games this season. They won 12 games.
The boys’ soccer team won 70% of its games this season. They won 14 games.
How many games did each soccer team play this season?
Problem 3
You’ve poured 84 gallons of water from a hose into a small pool. The pool is 35% filled with water. How many gallons of water can the pool hold if it is completely filled?


aligns: no