End of Content - Algebra I

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as the change in y over the change in x, represented as m = \frac{\Delta y}{\Delta x}.

Tags

CCSS.8.EE.B.5

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \frac{a}{b}, where a and b are integers and b is not zero.

Tags

CCSS.5.NBT.A.2

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it has a non-repeating, non-terminating decimal expansion.

Tags

CCSS.8.NS.A.1

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the difference between linear, exponential, and quadratic functions?

Back

Linear functions have a constant rate of change, exponential functions grow at a constant percentage rate, and quadratic functions have a variable rate of change represented by a parabolic graph.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

How do you simplify the expression 16x^2 - 9?

Back

The expression can be simplified using the difference of squares: 16x^2 - 9 = (4x - 3)(4x + 3).

Tags

CCSS.HSA.APR.C.4

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the relationship between the coefficients of a linear equation and its graph?

Back

The coefficients determine the slope and position of the line on the graph; a positive slope rises from left to right, while a negative slope falls.

Tags

CCSS.8.EE.B.5

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).

Tags

CCSS.8.F.A.1