Algebra Regents Review 1

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

What is the difference between an equation and an expression?

Back

An equation is a statement that two expressions are equal, indicated by the '=' sign. An expression does not have an '=' sign.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form y = mx + b.

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 (change in y over change in x).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x).

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (often x), while the dependent variable is the output (often y) that depends on the independent variable.

Front

What is a quadratic equation?

Back

A quadratic equation is a second-degree polynomial equation in the form ax^2 + bx + c = 0.