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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.8.F.A.1

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).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.

Tags

CCSS.HSF-LE.A.1A

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.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.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.

Tags

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.