EOC Algebra Review

Front

What is the RANGE of a graph?

Back

The RANGE of a graph is the set of all possible output values (y-values) that a function can produce. For example, if a graph has a range of -3 ≤ y < 1, it means y can take any value from -3 to just below 1.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value (y) for each input value (x). For example, the set of pairs (6,-5), (7,-3), (8,-1), (9,1) is a function because no x-value is repeated.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use substitution or elimination methods to find the values of the variables that satisfy both equations. For example, solving the system y = 4x + 1 and 3x + 2y = 13 gives the solution (1, 5).

Front

What is an exponential growth function?

Back

An exponential growth function is a function of the form y = a(b^x) where b > 1. For example, y = 7(5/4)^x is an exponential growth function because the base (5/4) is greater than 1.

Front

What does it mean for lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect. For example, the equations 3x - y = 2 and 12x - 4y = 4 represent parallel lines.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept. For example, the domain of the function f(x) = 1/x is all real numbers except x = 0.

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. For example, in the equation y = 2x + 3, the slope is 2 and the y-intercept is 3.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have a variable rate of change and can graph as curves. For example, y = 2x + 3 is linear, while y = x^2 is nonlinear.

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 set of values that satisfy all equations simultaneously.

Front

What is the y-intercept of a graph?

Back

The y-intercept of a graph is the point where the graph intersects the y-axis. It is found by setting x = 0 in the equation of the function.