Chapter 3 Flashcard

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What does it mean to set an equation to zero?

Back

Setting an equation to zero means rearranging it so that one side equals zero, which is often necessary for solving quadratic equations.

Front

What is the quadratic formula?

Back

Front

What is a test point in graphing inequalities?

Back

A test point is a specific point used to determine which side of the boundary line satisfies the inequality.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (for <= or >=), while a dotted line indicates they are not included (for < or >).

Front

How do you find the vertex of a quadratic function?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).