1. Equivalent expressions are expressions that are the same, even though they may look a little different.

2. The Distributive Property is an algebraproperty which is used to multiply a single term and two or more terms inside a set of parentheses. Take a look at the problem below.

3. Algebraic expression is an expressionbuilt up from integer constants, variables, and the algebraicoperations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

4. Numerical expression is a mathematical phrase involving only numbers and one or more operational symbols

5. Area model is a model for math problems where the length and width are configured using either multiplication, percentage or fractions to figure out the size of an area.

6. Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

7. Associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

8. Identity Property of One states that states that the product of any number and 1 is that number.

9. Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

10. Variable is an alphabetic character representing a number, called the value of thevariable, which is either arbitrary or not fully specified or unknown.

11. Formula is a group of mathematical symbols that express a relationship or that are used to solve a problem, or a way to make something. A group of math symbols that expresses the relationship between the circumference of a circle and its diameter is an example of a formula.

12. Square number or perfect squareis an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.

13. Square root of a number a is a number y such that y 2 = a, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, 4 and −4 are square roots of 16 because 4 2 = (−4) 2 = 16.

14. Pythagorean theorem, also known as Pythagoras' theorem, is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides..

15. Hypotenuse (alternate spelling: hypothenuse) is the longest side of a right-angled triangle, the side opposite of the right angle.

16. Cubic number is a figurate number of the form with a positive integer. The first few are 1, 8, 27, 64, 125, 216, 343,...

17. Cube root is therefore an nth root with. Every real number has a unique real cube root, and every nonzero complex number has three distinct cube roots.

18. Rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.

19. Irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.

20. Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g., 3 in 2 3 = 2 × 2 × 2).