Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a function in mathematics.

Back

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

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is changed or controlled in an experiment, while the dependent variable is the variable that is measured or affected.

Front

Explain what a polynomial is.

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. Examples include x^2 + 3x + 2.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of how far they are extended.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to break down an expression into simpler components (factors) that can be multiplied together to get the original expression, often used to solve equations.