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27 Cards in this Set
- Front
- Back
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What is the meaning of Algebra?
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Algebra uses lower case letters such as a\, s, t, x, and y to represent numbers. When we use a combination of variables and number using addition, subtraction , multiplication, and division and powers and roots, its called an algebraic expression
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Term
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the parts of an algebraic expression that is separated by addition
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Numerical coefficient
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the number part of a term.
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Constant term
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a term that consist of just a number
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Equation
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two algebraic expressions joined by an equal sign
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Formula
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statements of equality a relationship among two or more variables. A formula model, Approximately describes the data
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Mathematical model
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an approximate description of actual data
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Variable
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usually a lower case letter that respents some unknown value that makes the algebraic expression or equation or equality, true.
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A ____________________________ has the form: ax+b=c
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Liner equation in one variable
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_____________________ a mathematical equation that has a truth value. x-2=6 and x=8 makes the expression true.
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Algebra expression
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When we ____________________
to find the solution, root, solution, set, real zero and answer it means to find all the value of the variable that makes algebraic equation or equality |
evaluate an expression
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Solution set
Hint: the solution set of x+2=7 is (5) the solution set x^2 -16 is (-4,4) |
the set of all solution of the equation using set notation
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Equivalent Equations
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two or more equations with the same solution set.
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Real Numbers
Example: (-3,-2,-1,.5....7777777777) |
any number that can be represented on the number line
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Rational Number
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any number taht can be expressed in the form a/b where a and b are integers and b is not equal to 0
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A _____________________ is a terminating or repeating decimal.
(.......-3,-2,-1,.121212121 |
rational number
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A ____________is a non-terminating or non-repeating decimal
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irrational
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Other words for Addition
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sum plis added to more than increased by total of positive of
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Other words for Subtractions
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difference minus subtracted from less than decreased by less negative of
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Others words for Multiplication
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products times multiply twice of double
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Order of _____________________
P.................... E .................... M.................... D.................... A..................... S..................... |
Parenthesis
Exponents Multiplication Addition Subtraction |
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Addition Commutative Property of Addition
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a+b = b +a
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Multiplication Commutative Property Multiplication
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ab = ba
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Associate Property of addition
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( a + b) +c = a + (b + c)
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Distributive Property
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a( b +c) = ab +ac
a ( b-c) = ab - ac |
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Multiplication Commutative Property
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ab = ba
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Associate Multiplication
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(ab) c = a (bc)
Let a, b, and c real numbers, if a=b=, then a+c= b+c |
