OSTP Math Review

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating. Example: π (pi).

Front

How many solutions does the equation 6x = 4x + 8 have?

Back

The equation has one solution. To find it, simplify to 2x = 8, which gives x = 4.

Front

What is the formula for the volume of a cylinder?

Back

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

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). Formula: c² = a² + b².

Front

How do you convert a number into scientific notation?

Back

To convert a number into scientific notation, move the decimal point to create a number between 1 and 10, then multiply by 10 raised to the power of the number of places the decimal was moved.

Front

What is the value of π (pi)?

Back

π (pi) is approximately 3.14 and represents the ratio of the circumference of a circle to its diameter.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimals.

Front

What is the formula for the area of a circle?

Back

The formula for the area of a circle is A = πr², where r is the radius.

Front

What does it mean for an equation to have infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, often occurring in dependent equations.

Front

What is the formula for the surface area of a cylinder?

Back

The formula for the surface area of a cylinder is SA = 2πr(h + r), where r is the radius and h is the height.