Algebra 2 Review

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 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 an expression to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is a linear equation?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

Use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.

Front

What are the roots of a quadratic equation?

Back

The values of x that satisfy the equation, where the graph intersects the x-axis.