PSAT Practice Math

Front

What is a representative sample?

Back

A representative sample is a subset of a population that accurately reflects the characteristics of the whole population, allowing for valid inferences about the population based on the sample.

Front

How do you calculate the average speed of a vehicle?

Back

Average speed is calculated by dividing the total distance traveled by the total time taken. Formula: Average Speed = Total Distance / Total Time.

Front

What is the formula for fuel consumption in miles per gallon?

Back

Fuel consumption in miles per gallon (mpg) is calculated by dividing the distance traveled (in miles) by the amount of fuel used (in gallons). Formula: MPG = Distance / Fuel Used.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be expressed as f(x), where x is the input and f(x) is the output.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify to find the output.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

What is the point of intersection in a graph?

Back

The point of intersection is the point where two graphs meet, representing the solution to the system of equations formed by the two graphs.

Front

How do you solve a word problem involving multiple variables?

Back

Identify the variables, set up equations based on the problem's information, and solve the equations using algebraic methods.

Front

What is the relationship between ounces and gallons?

Back

1 gallon is equal to 128 ounces. To convert gallons to ounces, multiply the number of gallons by 128.

Front

How do you find the total number of items from a rate?

Back

To find the total number of items from a rate, multiply the rate by the total time or quantity. For example, if a car travels at a rate of 80 miles per hour for 3 hours, the total distance is 80 * 3.