What can you do first to solve the equation in Part 1?
Possible answers: subtract
What is the value of
How would the result be different if there were an inequality instead of an equation in Part 1?
Answers vary; guide students to see that there would be a solution set with multiple answers.
What type of equation is given in Part 2? How do you know?
Quadratic; the leading term is
What are some strategies you can use for solving this equation?
Factoring, completing the square, and the quadratic formula.
Factor the expression
So, what are the solutions to this equation?
What type of equation is in Part 3?
How can you solve the equation?
Answers vary; encourage students to identify eliminating denominators and cross-multiplying as viable methods.
If you want to eliminate the denominators, what can you multiply by? Why?
What is the solution to this equation? Is it extraneous? How do you know?
What type of equation is in Part 4?
How can you rewrite this equation without using an exponent?
Rewrite it using logarithms.
What does the equation look like after you take the
Solve the equation for
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