Algebra EOC Review

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is y = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

How do you represent a percentage increase in an equation?

Back

A percentage increase can be represented as y = a(1 + r)^x, where 'r' is the percentage expressed as a decimal.

Front

What does a scatter plot show?

Back

A scatter plot shows the relationship between two variables, indicating how one variable may change in relation to another.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable in a literal equation, isolate the variable on one side of the equation using algebraic operations.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, representing the maximum or minimum value of the function.

Front

What does it mean for two variables to have a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also tends to increase.

Front

How do you calculate the growth factor from a percentage?

Back

The growth factor can be calculated as 1 + (percentage increase as a decimal). For example, a 14% increase gives a growth factor of 1.14.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.