What does it mean to solve an equation?
Answers vary; students should recall that it means finding the value(s) for the variable(s) that make the equation true.
Look at Part 1. What kind of equation is
Linear; the greatest degree of any term is
What should you do first in order to solve the first equation?
Answers vary; students should realize that they need to simplify the left side first.
What kind of equation is
Quadratic; the largest degree of any term is
How can you solve
Answers vary; students may notice that after dividing by
Look at Part 2. Is
No. Explanations vary; students should realize that when they substitute
How can you solve
Answers vary; students should realize that they can multiply both sides by a common denominator to eliminate the denominator term.
What is the first step in solving
Add
Once the radical is isolated, what can you do to solve the equation?
Square both sides.
Finish solving both equations in Part 2. What are the solutions?
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