Algebra & Functions

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function?

Back

Check if each input (x-value) corresponds to only one output (y-value). If any input has multiple outputs, it is not a function.

Tags

CCSS.8.F.A.1

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

Simplify: 2x² + 3x² + 5x

Back

5x² + 5x

Tags

CCSS.7.EE.A.1

Front

Simplify: 2xy - 10xy

Back

-8xy

Tags

CCSS.7.EE.A.1

Front

Evaluate g(5) when g(x)=2x.

Back

g(5) = 10.

Tags

CCSS.HSF.IF.A.2

Front

What is the output of a function?

Back

The output of a function is the value that results from applying the function to an input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Tags

CCSS.8.F.A.3

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients.