EOC Competition Flashcard #1 A2B

Front

What is the cube root of a number?

Back

The cube root of a number x is a number y such that y^3 = x. It is denoted as @@ oot[3]{x}@@.

Front

Simplify @@4 oot[3]{59}@@

Back

The simplified form is @@3 oot[3]{2} + 4 oot[3]{5}@@.

Front

Back

The first step is to square both sides.

Front

Match the equation @@y= oot[3]{x+3}-5@@ with its graph.

Back

This equation represents a cubic function shifted left by 3 units and down by 5 units.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary components.

Front

What is the formula for the cube root?

Back

The formula for the cube root of a number x is @@ oot[3]{x}@@.

Front

How do you combine like terms in an expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable and exponent.

Front

What is the significance of the equation @@y= oot[3]{x-3}+5@@?

Back

This equation represents a cubic function that is shifted right by 3 units and up by 5 units.

Front

What is the difference between a linear and a cubic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a cubic function can have one or more bends and is represented by a curve.

Front

What does it mean to factor an expression?

Back

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