Mathematics 7-12 Flashcards

Which TExES Mathematics 7-12 domain focuses on understanding functions and their properties?

Answer: Patterns and algebra

Patterns and algebra in the 7-12 framework includes the study of functions, their representations, and algebraic structures.

A student claims that all squares are rectangles but not all rectangles are squares. This statement is:

Answer: True — a square meets all the criteria of a rectangle but has the additional property of equal sides

A square is a special rectangle with four equal sides, so every square satisfies the definition of a rectangle.

Which of the following is an example of a non-linear function?

Answer: f(x) = x²

f(x) = x² is a quadratic function whose graph is a parabola, making it non-linear.

To solve 2x + 3 = 11, which operation should be performed FIRST?

Answer: Subtract 3 from both sides

Subtracting 3 from both sides isolates the term with the variable, following the order of inverse operations.

Which measure of central tendency is MOST affected by an extreme outlier?

Answer: Mean

The mean is calculated using all data values, so an extreme outlier pulls it significantly toward that outlier.

The Pythagorean theorem states that in a right triangle with legs a and b and hypotenuse c:

Answer: a² + b² = c²

The Pythagorean theorem states that the sum of the squares of the two legs equals the square of the hypotenuse: a² + b² = c².