Milestone review

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you calculate the distance a ladder reaches against a wall?

Back

Use the Pythagorean theorem: if the ladder length is the hypotenuse (c) and the distance from the wall is one leg (a), then the height (b) can be found using b = √(c² - a²).

Front

What does it mean for a graph to have a negative correlation?

Back

A negative correlation means that as one variable increases, the other variable decreases. This is represented by a downward slope on a graph.

Front

What is expanded form in mathematics?

Back

Expanded form is a way of writing numbers to show the value of each digit. For example, 4^5 in expanded form is 4 x 4 x 4 x 4 x 4.

Front

What is the formula for simplifying exponents?

Back

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Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation of the line and solving for y.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled in an experiment, while the dependent variable is the one that is measured or affected.