Math Problem Solving Flashcard

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = (base × height) / 2.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the product of 2.5 and 4.2?

Back

The product of 2.5 and 4.2 is 10.5.

Front

How do you simplify the expression 5(x−2)+3x?

Back

To simplify, distribute 5 to (x−2) to get 5x - 10, then combine like terms with 3x to get 8x - 10.

Front

What is the value of an expression with multiple operations?

Back

To find the value, follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the formula for finding the mean of a set of numbers?

Back

Mean = (Sum of all numbers) / (Total count of numbers).

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents a number that can change, while a constant is a fixed value that does not change.

Front

How do you solve a multiplication problem with decimals?

Back

Multiply as if there are no decimals, then count the total number of decimal places in both numbers and place the decimal in the product accordingly.