EOC Alg 1

Front

What is a horizontal shift in a graph?

Back

A horizontal shift occurs when the graph of a function is moved left or right along the x-axis. For example, g(x) = (x - 7.5)² represents a horizontal shift of the graph of f(x) = x² to the right by 7.5 units.

Front

How do you determine the domain of a function from its graph?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. It can be determined by observing the x-values covered by the graph.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and all other terms on the other side, often using inverse operations.

Front

What is the significance of the slope in a linear function?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

How do you interpret the solution of a system of equations graphically?

Back

Graphically, the solution of a system of equations is represented by the point(s) where the graphs of the equations intersect.

Front

What is the difference between a vertical shift and a horizontal shift in a graph?

Back

A vertical shift moves the graph up or down along the y-axis, while a horizontal shift moves it left or right along the x-axis.

Front

What does it mean to multiply both sides of an equation by a number?

Back

Multiplying both sides of an equation by the same number maintains the equality of the equation, allowing for simplification or isolation of variables.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.