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# Algebra Chapter 1

### Algebre Chapter 1

operation A mathematical process (Most common + - x divide) Also, square root and exponents.
algebraic expression Numbers, symbols and operators (such as + and ×) grouped together that show the value of something. A number sentence.
numeric expression A mathematical phrase involving only numbers and one or more operational symbols.
evaluate To calculate or solve an expression
simplify To rewrite an expression in to its simplest form
rational number A real number that can be written as a ratio of two integers (a fraction)
irrational number Numbers that cannon be written in the form of a ratio (fraction)
square root A number that when multiplied by itself is equal to the given number
perfect square A number that is the square of a whole number
terminating decimal A decimal that stops
repeating decimal A decimal that has a repeating number or pattern that goes on forever
integers Numbers in this set = {..., -3, -2, -1, 0, 1, ...}
inequality General name for showing that two things are notequal: a < b says that a is less than b a > b says that a is greater than b
variable A symbol for a number we don't know yet. It is usually a letter like x or y.
natural numbers Numbers in this set = {1, 2, 3, 4, 5…}
counterexample Is an example that shows that a statement is not always
base The number that is going to be raised to a power.
real numbers Positive or negative, large or small, whole numbers or decimal numbers are all this type of number. They are not Imaginary Numbers (although those do exist). The largest number family.
exponent Shows how many times the number is to be used in a repeated multiplication.
power The whole unit of a base raised to an exponent
whole numbers Numbers in this set = {0, 1, 2, 3, ...}
radicand The value inside the radical sign. The value you want to take the root of.
inverse The opposite of a number
absolute value How far a number is from zero.
reciprocal If you multiply a number by this you get 1. Also called the multiplicative inverse.
multiplicative inverse Another name for reciprocal. When you multiply a number by this you get 1.
distribute - to give or deliver (something) to people - to deliver (something) to a store or business - to divide (something) among the members of a group
term * a single number, or * a variable, or * numbers and variables multiplied together.
like terms Terms whose variables (and their exponents) are the same.
coefficient A number used to multiply a variable
constant A number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
distributive property Multiply a number by a group of numbers. The jumping property.
equation A expression that states two things are the equal. It uses an equals sign.
solution The answer to a problem.
open sentence A mathematical statement that can be either true or false depending what values are used.
inductive reasoning Making a conclusion based on an established pattern
radical An expression that has a square root, cube root, etc. The symbol is √
Created by: jamimurray