12/13 Algebra Final review part 1 (Fall 24-25)

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents a number in mathematical expressions or equations.

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 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

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

Define a function in algebra.

Back

A relation that assigns exactly one output for each input, often expressed as f(x).

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.

Front

What does it mean to factor an expression?

Back

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

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).