AIA Tri 1 Final Exam Review

Front

What is the principle of moments in physics, and how is it applied in a teeter-totter problem?

Back

The principle of moments states that for an object to be in equilibrium, the clockwise moments about a pivot must equal the counterclockwise moments. In a teeter-totter problem, this means that the weight of each person multiplied by their distance from the pivot must be equal for balance.

Front

How do you calculate the cost per person when the number of people sharing a cost changes?

Back

The cost per person is calculated by dividing the total cost by the number of people sharing. If the cost is inversely proportional to the number of people, then as the number of people increases, the cost per person decreases.

Front

What is an independent variable in an experiment?

Back

An independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable. In Sarah's tire experiment, the size of the tire is the independent variable.

Front

What does the domain of a function represent?

Back

The domain of a function represents all the possible input values (x-values) for which the function is defined. For the graph in question 4, the domain is -4 ≤ x ≤ 3.

Front

How do you solve a linear equation like -5k + 10 = -2k - 14?

Back

To solve the equation, first, combine like terms and isolate the variable. In this case, add 5k to both sides and then subtract 10 from both sides to find k = 8.

Front

What is the concept of inverse variation?

Back

Inverse variation occurs when one variable increases while the other decreases, such that their product is constant. For example, if the cost per person decreases as the number of people increases, they are inversely proportional.

Front

What is the formula for calculating moments in a lever system?

Back

The formula for calculating moments is Moment = Force x Distance from the pivot. This is used to determine the balance point in lever systems.

Front

What is the significance of the pivot point in a teeter-totter?

Back

The pivot point is the fulcrum around which the teeter-totter rotates. The distances of the weights from this point determine the balance and stability of the system.

Front

How do you determine the dependent variable in an experiment?

Back

The dependent variable is the variable that is measured or tested in an experiment. It is affected by changes in the independent variable.

Front

What is the relationship between the number of people sharing a cost and the cost per person?

Back

The relationship is inversely proportional; as the number of people increases, the cost per person decreases, assuming the total cost remains constant.