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15 Cards in this Set
- Front
- Back
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Variable
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a letter or other symbol that represents a number or set of numbers in an expression or an equation
EX: 5k (k is the variable) |
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Algebraic Expression
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a mathematical combination of numbers, variables and operations
Ex: 3x-7 or m x 5n |
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Sum, quantity or total. Use sum as a general rule. In word problems, you will be asked what is the total or sum. All indicate addition of numbers. (more than indicates addition as well)
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the result of adding two numbers or quantities.
Ex: 5 + m |
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Difference
(less than and fewer are used in words problems to indicate subtration) |
the result obtained when one number is subtracted from another
EX: 3x - 7 |
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Product
(in word problems you may see the word of indicating multiplication ex: 1/3 of....) |
the result of multiplying two numbers or variables
EX: 5x=y 6(7)=42 8 x 8=64 is the ANSWER when multiplying FACTORS. |
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Quotient
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the result obtained from dividing one number or variable into another number or variable
EX: p/q=8 10/2=5 is the ANSWER in a division problem |
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Equation
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a mathematical sentence stating that two expressions are equal
EX: 5 + 7= 12 |
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Equivalent
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equal in value
EX: 8 + 2=5 + 5 |
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Communtative Property for Addition and Multiplication ONLY
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states that for any numbers x and y: x + y = y + x and xy=yx
EX: 4 + 5= 5 + 4 and 2(5) = 5(2) |
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Associative Property for Addition and Multiplication ONLY
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states that the sum or product of a set of numbers is the same no matter how the numbers are grouped. (x+y)+z=x+(y+z). EX: (3 + 4) + 5= 3 + (4 + 5) or
7x(5) = 7(5x) |
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Distributive Property
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multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products
EX: 2(3 + 2) = 6 + 4 and (3 + 2)2= 4 + 6 |
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Equivalent Expression
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expressions that always result in the same number or have the same mathematical meaning for all replacement values of the variables.
EX: 5n + 7n and 12n are the same number or express. |
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Like Terms
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terms that include the same variables, or base numbers raised to the same powers... like terms can be combined..kinda like putting an outfit together....
EX: 5n + 6n + 4= 11n + 4 (the Ns are like terms...) |
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Order of Operations
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Please Excuse My Dope Awesome Swag (or Please Excuse My Dear Aunt Sally) in this order: 1) Anything in Parenthesis, 2) Exponents, 3) Multiply left to right, 4) Divide left to right, 5) Add left to right , and 6) Subtract left to right
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Verbal Expression
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Translating algebraic expressions into words.
EX: 6x + 4= The sum of the product of six and x and four. 4 - m= The difference of four and m. |
