MATH STANDARDS

What is the formula for the area of a triangle?

The area of a triangle is given by the formula: $A = \frac{1}{2} \times base \times height$.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse ($c$) is equal to the sum of the squares of the lengths of the other two sides ($a$ and $b$): $a^2 + b^2 = c^2$.

How do you solve a linear equation in one variable?

To solve a linear equation in one variable, isolate the variable on one side of the equation using inverse operations.

What is the probability of flipping a fair coin and getting heads?

The probability of getting heads when flipping a fair coin is $P(heads) = \frac{1}{2}$.

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

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

What are complementary angles?

Complementary angles are two angles that add up to 90 degrees.

What is a function?

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

What is the formula for the volume of a rectangular prism?

The volume of a rectangular prism is given by the formula: $V = length \times width \times height$.

What is the formula for the circumference of a circle?

The circumference of a circle is given by the formula: $C = 2 \pi r$, where $r$ is the radius of the circle.

What is the area of a rectangle?

The area of a rectangle is given by the formula: $A = length \times width$.\n\n

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees.\n\n

What is the formula for the slope of a line?

The slope (m) of a line is given by the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.\n\n

What is a prime number?

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers; it has exactly two distinct positive divisors: 1 and itself.\n\n

What is an integer?

An integer is a whole number that can be positive, negative, or zero, and does not contain any fractional or decimal part.\n\n

How do you determine the mean of a data set?

The mean of a data set is found by adding all the numbers in the data set together and dividing by the total number of values in the set.\n\n

What is the definition of slope in mathematics?

The slope of a line measures the steepness or incline of the line and is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

How can you determine the slope from a graph?

To determine the slope from a graph, select two points on the line, find the rise (the vertical change) and the run (the horizontal change), and compute the slope as $m = \frac{rise}{run}$.

What does a positive slope indicate?

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, showing an upward trend.

What does a negative slope indicate?

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, showing a downward trend.

How can you calculate the slope using two points?

Given two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope can be calculated using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$.

What slope value indicates a horizontal line?

A slope value of 0 indicates a horizontal line, meaning there is no vertical change as the x-coordinate changes.

What slope value indicates a vertical line?

An undefined slope indicates a vertical line, which occurs when the change in the x-coordinate is 0.