Algebra 1 Regents Review

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you simplify the expression 3(x + 4) - (2x + 7)?

Back

To simplify, distribute the 3 to (x + 4) to get 3x + 12, then subtract (2x + 7) to get x + 5.

Front

What is standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degree.

Front

What does it mean for a function to be a parent function?

Back

A parent function is the simplest form of a function type, from which other functions can be derived by transformations.

Front

What is a transformation in the context of functions?

Back

A transformation is an operation that moves or changes a function's graph, such as shifting, reflecting, stretching, or compressing.

Front

What does it mean to shift a graph k units to the right?

Back

Shifting a graph k units to the right means replacing x with (x - k) in the function's equation.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values, which can be checked using the vertical line test.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).