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Algebra Terms

Absolute Value makes a negative number positive. Positive numbers and 0 are left unchanged. The absolute value of x is written |x|. We write |–6|
Real Numbers The numbers we use to measure real-world quantities, such as length, temperature, or volume, are called real numbers. All the rational and irrational numbers make up the set of real numbers. The number line is a model of the set of real numbers.
Rational Number A number that can be expressed as the quotient of two integers. Fractions, mixed numbers, decimals and integers are all rational numbers, because they may be expressed as a quotient of two integers. Ex: 3 1/4
Irrational Number Some numbers cannot be written as a quotient of two integers, and these are called irrational numbers.
Variable A letter that stands for a number in a mathematical expression is called a 'var'iable, because its value can vary. In the expression 4n + 7, n is a variable
Expression A mathematical phrase made up of variables and/or numbers and operations is called an expression. Ex: 2ab + 3ab - a
Terms in an expression, the terms are the elements separated by the plus or minus signs. In the expression 2ab + 3ab - a, the terms are 2ab, 3 ab, and a
Coefficient A number that appears before a letter in a term. For example in the term 2ab, 2 is the coefficient.
Constant A term that has only one number and no variables is called a constant, because its value doesn't vary. In the expression 2ab + 3b + 6, the number 6 is a constant
Algebraic Expressions An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It's only a phrase, not the whole sentence, so it doesn't include an equal sign.
the sum of three times a number and eight 3x + 8
The words ""the sum of"" tell us we need a plus sign because we're going to add three times a number to eight. The words ""three times"" tell us the first term is a number multiplied by three.
In this expression, we don't need a multiplication sign or parenthesis. Phrases like ""a number"" or ""the number"" tell us our expression has an unknown quantity, called a variable. In algebra, we use letters to represent variables.
the product of a number and the same number less 3 x(x – 3)
The words ""the product of"" tell us we're going to multiply a number times the number less 3. In this case, we'll use parentheses to represent the multiplication. The words ""less 3"" tell us to subtract three from the unknown number. "
a number divided by the same number less five x/x-5
The words ""divided by"" tell us we're going to divide a number by the difference of the number and 5. In this case, we'll use a fraction to represent the division. The words ""less 5"" tell us we need a minus sign because we're going to subtract five."
A number n times 3 is equal to 120. A number n times 3 is equal to 120.
This is an easy one. The word ""times"" tells you that you must multiply the variable n by 3, and that the result is equal to 120. Here's how to write this equation: "
Commutative property of Addition a+b = b+a
Commutative property of Multiplication ab = ba
Associative Property of Addition (a+b) + c = a + (b+c)
Associative Property of Multiplication (ab)c = a(bc)
Distributive Property a(b+c) = ab + ac
Density Property Between any two real numbers, there is always another real number.
Identity Property of Addition a + 0 = a
Identity Property of Multiplication a * 1 = a
greater than or equal to
less than or equal to
> greater than
< less than
Solving addition and subtraction equations To solve an equation means to find a value for the variable that makes the equation true. Whatever you do to one side of the equation, you must also do to the other side. (Balance the scale)
Solving multiplication equations To solve a multiplication equation, use the inverse operation of division. Divide both sides by the same non-zero number.
Solving division equations To solve a division equation, use the inverse operation of multiplication. Multiply both sides by the same number.
Inequalities A mathematical sentence built from expressions using one or more of the symbols <, >, ≤, or ≥.
Exponent The number (written in superscript) used to express how many times a base is multiplied by itself
Base The number directly preceeding an exponent
polynomial is a series of one or more terms that are added or subtracted, such as 3x + 2y - 4
To change from percent to decimal you move the decimal point two places to the right
9 + 10 = You thought I was gonna do it, didn't you?
Created by: scanipe