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Algebra Terms

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Absolute Value   show
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Real Numbers   show
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show 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  
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show Some numbers cannot be written as a quotient of two integers, and these are called irrational numbers.  
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show 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  
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show A mathematical phrase made up of variables and/or numbers and operations is called an expression. Ex: 2ab + 3ab - a  
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show 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  
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show A number that appears before a letter in a term. For example in the term 2ab, 2 is the coefficient.  
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show 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  
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show 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.  
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show 3x + 8  
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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.   show
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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.   show
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the product of a number and the same number less 3   show
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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. "   show
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show x/x-5  
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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."   show
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A number n times 3 is equal to 120.   show
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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: "   show
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Commutative property of Addition   show
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Commutative property of Multiplication   show
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show (a+b) + c = a + (b+c)  
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show (ab)c = a(bc)  
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show a(b+c) = ab + ac  
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Density Property   show
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Identity Property of Addition   show
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Identity Property of Multiplication   show
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≥   show
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show less than or equal to  
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show greater than  
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show less than  
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show 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)  
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Solving multiplication equations   show
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Solving division equations   show
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show A mathematical sentence built from expressions using one or more of the symbols <, >, ≤, or ≥.  
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show The number (written in superscript) used to express how many times a base is multiplied by itself  
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show The number directly preceeding an exponent  
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show is a series of one or more terms that are added or subtracted, such as 3x + 2y - 4  
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show you move the decimal point two places to the right  
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show You thought I was gonna do it, didn't you?  
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