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IM Alg1.7.21 Practice: Sums and Products of Rational and Irrational Numbers

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Match each expression to an equivalent expression.

Consider the statement: "An irrational number multiplied by an irrational number always makes an irrational product."

Select all the examples that show that this statement is false.

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Check my answer (3)

Where is the vertex of the graph that represents ?

Does the graph open up or down? Explain how you know.

Here are the solutions to some quadratic equations. Decide if the solutions are rational or irrational.

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  • A
  • B
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Select all that apply
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  • B
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Select all that apply
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  • B
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Select all that apply
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  • B
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Select all that apply
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  • B
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Select all that apply
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  • B
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Find an example that shows that the statement is false.

An irrational number multiplied by an irrational number always makes an irrational product.

A rational number multiplied by an irrational number never gives a rational product.

Adding an irrational number to an irrational number always gives an irrational sum.

Which equation is equivalent to  but has a perfect square on one side?

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  • B
  • C
  • D
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A student who used the quadratic formula to solve said that the solutions are and .  What equations can we graph to check those solutions?

What features of the graph do we analyze?

How do we look for and on a graph?

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