Algebra 2 Review

Front

What is a solution to an equation?

Back

A solution to an equation is a value that makes the equation true when substituted for the variable.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' if there are no values that can be substituted for the variable to make the equation true.

Front

How do you check your solution to an equation?

Back

To check your solution, substitute the solution back into the original equation to see if both sides are equal.

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form y = mx + b, while a quadratic function has the form y = ax^2 + bx + c.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which opens upwards or downwards depending on the sign of 'a'.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the quadratic formula?

Back

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

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.