entire unit of 7th grade honors math.

What is the formula for the area of a rectangle?

Area = length × width.

What is the Pythagorean theorem?

In a right triangle, a² + b² = c², where c is the hypotenuse.

What does it mean for angles to be complementary?

Two angles are complementary if their measures add up to 90 degrees.

How do you calculate the volume of a rectangular prism?

Volume = length × width × height.

What is the difference between a prime number and a composite number?

A prime number has exactly two distinct positive divisors, while a composite number has more than two.

What is the distributive property?

a(b + c) = ab + ac.

What is the formula for the circumference of a circle?

Circumference = 2πr, where r is the radius.

What is the mean of a set of numbers?

The mean is the average, calculated by adding all numbers and dividing by the count.

What is a variable in an algebraic expression?

A symbol that represents one or more numbers.

What is the difference between integers and whole numbers?

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include negative numbers as well (-1, -2, ...).

What is the formula for the area of a triangle?

Area = 1/2 × base × height.

What is the formula for the volume of a cylinder?

Volume = πr²h, where r is the radius and h is the height.

What does it mean for angles to be supplementary?

Two angles are supplementary if their measures add up to 180 degrees.

What is the probability of an event?

Probability = Number of favorable outcomes / Total number of outcomes.

What is a proportion?

An equation stating that two ratios are equal.

What is the least common multiple (LCM)?

The smallest multiple that two or more numbers have in common.

What is the greatest common factor (GCF)?

The largest factor that two or more numbers share.

What are integers?

Whole numbers that can be positive, negative, or zero.

What is a rational number?

A number that can be expressed as a fraction of two integers.

What is the distributive property in algebra?

a(b + c) = ab + ac.

What is an equation?

A mathematical statement that two expressions are equal.

What is an inequality?

A mathematical statement indicating that one expression is less than or greater than another.

What are like terms?

Terms in an expression that have the same variables raised to the same powers.

What is a coefficient in algebra?

A numerical factor that multiplies a variable.

What is the perimeter of a rectangle?

Perimeter = 2 × (length + width).

What is absolute value?

The distance of a number from zero on the number line, always non-negative.

What is a linear equation?

An equation that forms a straight line when graphed.

What is a function?

A relation where each input has exactly one output.

What is the slope of a line?

The ratio of the rise (change in y) over the run (change in x).

What are corresponding angles?

Angles that are in the same position on parallel lines cut by a transversal.

What is a quadratic expression?

An expression that can be written in the form ax² + bx + c.

What is a histogram?

A graphical representation of the distribution of numerical data.

What is the mean of a data set?

The sum of all values divided by the number of values.

What is the median of a data set?

The middle value when the data set is ordered.

What is the mode of a data set?

The value that appears most frequently in a data set.

What is the range of a data set?

The difference between the highest and lowest values.

What is the formula for circumference of a circle?

Circumference = 2πr.

What is a scale factor?

A number that scales, or multiplies, a quantity.

What is the definition of a polygon?

A closed figure formed by a finite number of straight line segments.

What is a vertex of a polygon?

A point where two sides of a polygon meet.

What is an expression?

A combination of numbers, variables, and operations without an equality sign.

What is the order of operations?

The rules determining the order in which calculations are performed (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

What is a bar graph?

A graph that represents data with rectangular bars.

What is the relationship between parallel lines and transversals?

When a transversal crosses parallel lines, it creates equal corresponding and alternate angles.

What is a scatter plot?

A graph that uses dots to represent the values obtained for two different variables.

What is the standard form of a linear equation?

Ax + By = C, where A, B, and C are integers.

What is a rational expression?

A fraction that has a polynomial in its numerator and denominator.

What is a mixed number?

A whole number combined with a fraction.

What is scientific notation?

A way to express numbers as a number between 1 and 10 multiplied by a power of 10.

What is a decimal?

A fraction expressed in a special form that represents parts of a whole.

What is a stem-and-leaf plot?

A method of displaying data that retains the original data values.

What is factoring in algebra?

The process of breaking down an expression into simpler components, or factors.

What is a perfect square?

A number that can be expressed as the product of an integer with itself.

What is a ratio?

A comparison of two quantities by division.

What is a sample space in probability?

The set of all possible outcomes in a probability experiment.

What is a tessellation?

A repeating pattern of one or more shapes that fit together without gaps or overlaps.

What does it mean for numbers to be inverses in mathematics?

Two numbers are inverses if their product is 1.

What is the difference between a variable and a constant?

A variable can change; a constant has a fixed value.

What is a perfect number?

A number that is equal to the sum of its proper divisors.

What are prime factors?

The prime numbers that multiply together to give a certain product.

What is a quadrilateral?

A four-sided polygon.

What is an equation of a circle?

(x - h)² + (y - k)² = r², where (h,k) is the center and r is the radius.

What is a term in algebra?

A single mathematical expression that can be a number, variable, or a product of both.

What is a binomial?

A polynomial with exactly two terms.

What does it mean to simplify an expression?

To reduce it to its simplest form, eliminating any unnecessary elements.