Algebra Regents Review #3

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents one or more numbers.

Front

Define an equation.

Back

A mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the purpose of solving an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to simplify an expression?

Back

To reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'slope' represent in a linear equation?

Back

The rate of change of the y-value with respect to the x-value, often represented as 'm' in the equation y = mx + b.

Front

What is the y-intercept?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).