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42 Cards in this Set
- Front
- Back
absolute value
|5|=5 |
-the distance of a number from zero on a number
-shown by | | |
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Addition Property of Equality
14 - 6= 8 +6 +6 14 = 14 |
The property that states that if you addthe same number to bothe sides of an equation, the new equation will have the same solution.
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addition inverse
The additive inverse of 5 is -5 |
the opposite of a number
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algebraic expression
x+8 4(m-b) |
an expression that contains at least one variable
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Division Property of Equality
4x=12 4x 12 --- = --- 4 4 x=3 |
The property that states that if you divide both sides of an equation by the same nonzero number, the new equation will have the same solution.
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equation
4+x=7 6+1=10-3 |
a mathematical sentence that shows that two expressiions are equivalent.
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evaluate
Evaluate 2x+7 for x=3 2(3)+7 6+7 13 |
to find the value of a numerical or algebraic expression
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expression
6x+1 |
a mathematical phrase that contains operations, numbers, and/or variables
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Identity Property of Multiplication
-3(1)=-3 4(1)=4 |
the propery that states that the product of 1 and any number is that number.
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Identity Property of Addition
4+0=4 |
the property that states the sum of zero and any number is that number
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integer
...-3, -2, -1, 0, 1, 2, 3... |
The set of whole numbers and their opposites.
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inverse operations
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Operations that undo each other:addition and subtraction, or multiplication and division
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numerical expression
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An expression that contains only numbers and operations.
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opposites
5 and -5 |
Two numbers that are an equal distance from zero on a number line; also called additive inverse.
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Subtraction Property of Equality
x+6=8 -6 -6 x=2 |
The property that states that if you subtract the same number from both sides of an equation, the new equation will have the same solution
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variable
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A symbol used to respresent a quantity that can change.
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least common denominator (LCD)
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The least common multiple of two or more denominators.
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multiplicative inverse
3 ( 4 ) - ( - ) 4 ( 3 ) |
One of two numbers whose product is 1; also called reciprocal.
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rational number
6 can be expressed as 6/1 0.5 can be expressed as 1/2 |
A number that can be written in the form a/b, where a and b are integers and b does not equal 0.
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reciprocal
the reciprocal of 2/3 is 3/2 |
One of two numbers whose product is 1; also called multiplicated inverse.
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repeating decimal
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A rational number in decimal form in which a group of one or more digits (where all digits are not zero) repeat infinitely.
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terminating decimal
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A decimal number that ends or terminates.
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algebraic inequality
x + 3 > 10 |
An inequality that contains at least one variable.
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Associative Property of Addition
a + b + c= (a + b) + c = a + (b + c) |
The property that states that for all real numbers a, b, and c, the sum is always the same, regardless fo their grouping.
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Associative Property of Multiplication
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The property that states that for all real numbers a, b, and c, their product is always the same, regardless of thier grouping.
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coefficient
5 is the coefficient in 5b. |
The number that is multiplied by a variable in an algebraic expression.
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Commutative Property of Addition
8 + 20 = 20 + 8 |
The property that states that two or more numbers can be added in any order without changing the sum.
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Commutative Property of Multiplication
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The property that states that two or more numbers can be multiplied in any order without changing the product.
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constant
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A value that does not change.
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Distributive Property
5 (21) = 5 (20 + 1) = 5(20) + 5(1) |
The property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number adn then add the products.
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equivalent expressions
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Equivalent expressions have the same value for all values of the variables
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inequality
5>2 |
A mathematical statement that compares two expressions by using one of the following symbols: ≠, <, >, < with a line under it, and > with a line undet it.
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like terms
3a and 12a are like terms |
Two or more terms that have that same variable raised to the same power.
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solution set
Inequality: x+ 3>(with a line under it)5 solution: x >(with a line under it)2 |
The set of values that make a statement true.
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term
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the parts of an expression that are added or subtracted
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base
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When a number is raised to a power, the number that is used as a factor si the base.
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exponent
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The number that indecates how many times teh base is used as a factor.
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exponential form
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A number is in exponential form when it is written witha a base adn an exponent.
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monomial
3x2y4 (3x squared)(y to the fourth) |
A number or a product of numbers and variables with exponents that are whole numbers.
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power
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A number produced by raising a base to an exponent.
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real number
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A rational or irrational number.
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scientific notation
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A method of writing very large or small numbers by using powers of 10.
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