An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions for the given equations and inequalities.

Concepts

inequalities, equations, solutions, quadratic equations, absolute value equations, polynomial equations, trigonometric equations

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Additional Tags

math

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Instructional Ideas

• Encourage class members to graph the equations to determine the solutions
• For problems with more than two solutions, ask for a general formula for all the solutions

Classroom Considerations

• Assumes learners are comfortable with trigonometric and polynomial equations

Pros

• Answer key has sample explanations for the solutions
• Rubric outlines how to award partial credit

Cons

• None

Common Core

HSA-REI.A.1 HSA-REI.B.4.a MP2 MP7