Intervention Flashcard #15: A-CED

Front

Back

Front

Back

Front

Back

The equation has Infinitely Many solutions.

Front

Back

Front

Definition of a Literal Equation

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

Front

What is the Average Rate of Change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value.

Front

How to find the Average Rate of Change?

Back

1. Calculate the function values at the endpoints of the interval. 2. Use the formula: \( \frac{f(b) - f(a)}{b - a} \) where \( [a, b] \) is the interval.

Front

What does it mean if an equation has Infinitely Many Solutions?

Back

It means that there are countless values that satisfy the equation, often due to the equation being an identity.

Front

What is an Equivalent Expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

How to determine if two expressions are equivalent?

Back

You can simplify both expressions and see if they result in the same expression or use substitution to check for equality.