Decathalon Final Event for Medal Placement

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is Inverse Variation?

Back

Inverse Variation is a relationship between two variables where the product of the variables is a constant. It can be expressed as xy = k, where k is a non-zero constant.

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. It is also known as a root of the function.

Front

How do you find the zeros of a quadratic function?

Back

To find the zeros of a quadratic function, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a), where ax² + bx + c = 0.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation has a degree of 1 and graphs as a straight line, while a quadratic equation has a degree of 2 and graphs as a parabola.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and reducing fractions to their simplest form.

Front

What is the power of a product rule in exponents?

Back

The power of a product rule states that (ab)ⁿ = aⁿbⁿ, meaning you can distribute the exponent to both factors.

Front

What is the power of a quotient rule in exponents?

Back

The power of a quotient rule states that (a/b)ⁿ = aⁿ/bⁿ, meaning you can distribute the exponent to both the numerator and the denominator.