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Grade-level mathematics · no-sign-up sample

Mathematics sample · Grades 9–12

Five short questions with a real teaching moment. On a phone, move through one clear question at a time.

Question 1 of 5

Algebra - free strategy

What are the solutions to x squared - 5x + 6 = 0?

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Factor before using a longer method

For x squared minus 5x plus 6, look for two numbers that multiply to 6 and add to negative 5.

  1. The factors of 6 are 2 and 3.
  2. Both signs are negative so their sum is negative 5.
  3. The equation factors as (x - 2)(x - 3) = 0.

Question 2 of 5

Functions

If f(x) = 2x squared - 3, what is f(4)?

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Question 3 of 5

Geometry

A right triangle has legs of 5 and 12. Its hypotenuse is __.

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Question 4 of 5

Exponents

What is 3 to the fourth power?

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Question 5 of 5

Probability

A fair coin is flipped twice. What is the probability of two heads?

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