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: c² = a² + b².

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, calculated as the rise over run (change in y over change in x). It is often represented by the letter m.

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.

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 and substitute that expression into the other equation.

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, often a letter, that represents a number in mathematical expressions or equations.

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 proportion is.

Back

A proportion is an equation that states that two ratios are equal. For example, a/b = c/d.