# Find The Formula For The Arithmetic Sequence Given 2 Numbvers A Parent’s Guide to Algebra’s Basic Concepts – Basic Algebra Terminology

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## A Parent’s Guide to Algebra’s Basic Concepts – Basic Algebra Terminology

In the previous article in this series, I discussed arithmetic concepts essential to understanding algebra. In this article we will review some of the terms needed to understand the basic concepts of algebra.

1. Order of Operation. This arithmetic was covered in the article. This is equally important in algebra.

2. stability. As the name implies, constants do not vary in value. Any number is constant: 5, -2.3, 3/8, pi0.333…

3. variables. Any letter that stands for a number. We usually use x or yBut can be any letter except pi, ior e (These are actually constants – meaning they each have a specific value that cannot be changed.)

4. period. Any combination using a single number, a single variable, or both Multiply and/or divide. Examples of terms: x, 5, 3a, 7abxy, 3/(xy)

5. coefficient. A number before the verse explaining how many there are.

3x is a factor of 3. y has an “understood” coefficient of 1. The coefficient of (4x)/(5y) is 4/5.

6. Terms like. have the same variable parts, but the coefficients may differ. 3xyz and 6xyz are “like terms”. 5xyz and 5xya and not “like terms.”

7. exponent. A small raised number that is shorthand for repeated multiplication. (This is one of those things that Ezine can’t write, so I have to use the ^ symbol.) So, xxxx = x^4. A single variable, such as y, has an “understood” exponent of 1.

8. Expressions. Combining terms using only + or -. Examples: 2x + 3y or 5a + 2b – 3c

9. polynomials. expression of various terms,

monomial – A polynomial of 1 term, such as 3x

binomial – A polynomial of 2 terms, such as 3x – 4y

Trinomial – A polynomial of 3 terms, such as 3x – 4y + 6

10. Equations. Algebraic sentences with equal signs (complete idea).

3x – 4 = 6 or x + y = 6

11. Inequalities. Statements that things are not equal. Example: x + y > 10. In terms x plus y is greater than 10.

12. degree. Basically, the exponent if there is only one variable in the variable. 2x has degree 1. 3y^4 has degree 4. If the term has more than one variable, the degree is the sum of the exponents in the variable. x^2y^3 has degree 5. Degree matters when we start graphing.

13. Negative exponents. It’s hard to explain without the right symbols. Negative exponents are another way of writing fractions. x^(-1) is the same as 1/x

14. partial exponents. It is also difficult to explain without the correct symbols. Partial exponents are another way of writing radicals (square roots, cube roots, etc.).

15. Zero as an exponent. In words, anything raised to the 0 power is 1 (except 0^0 which is undefined).

Don’t expect to understand it all right away. Just scan through it, and then come back to it when we get to the appropriate topics.

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