Math 1 NC Check In Review #1

Front

What is the Pythagorean Theorem?

Back

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). Formula: a² + b² = c².

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter m. It is calculated as the rise (change in y) over the run (change in x). Formula: m = (y2 - y1) / (x2 - x1).

Front

Explain the concept of a function.

Back

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. It can be represented as f(x).

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the number that appears most frequently in a data set.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What is the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

Define the term 'variable' in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations, often denoted by letters such as x, y, or z.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax² + bx + c = 0. It is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

Explain what a rational number is.

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).