Algebra I Regents Review

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, represented as (0, b) where b is the y-intercept value.

Front

What is the Quotient Rule in algebra?

Back

The Quotient Rule states that if you have a function that is the quotient of two other functions, the derivative is given by (f/g)' = (f'g - fg')/g².

Front

In the function f(t) = 300(1.05)^t, what does the number 300 represent?

Back

The number 300 represents the starting amount or initial value in the exponential growth function.

Front

How do you simplify the expression r^6 ⋅ r^2 ⋅ r^3?

Back

You add the exponents: r^(6+2+3) = r^11.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values that satisfy the inequality condition.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using the coordinates of the two points (x1, y1) and (x2, y2).

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.