Section 1
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Coefficient
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Last updated
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Date created
Mar 1, 2020
Cards (68)
Section 1
(50 cards)
Coefficient
A number multiplied by a variable in an algebraic expression.
solution of an inequality
a value that makes the inequality true
properties of equality
"What you do to one side, you do to the other."
open circle
DOES NOT include that point on a number line
Substitution Property of Equality
If numbers are equal, then substituting one in for another doesn't change the equality of the equation. Example: x=5 so y=x+6 should be y=5+6
greater than or equal to
all the numbers larger than or equal to...
Associative Property
The change in grouping of three positive terms or factors doesn't change their sum or product.
Additive Inverse Property
The sum of a number and its inverse is equal to 0.
Variable
a letter or symbol that represents a number
Transitive Property of Equality
If numbers are equal to the same number then they are equal to each other. Example: a=b=c so a=c
Division Property of Equality
Dividing the same number to both sides of an equation doesn't change the equality of the equation. Example: a=b so a/c=b/c
Additive Identity Property
The sum of any number and 0 is always the original number.
graph of an inequality
shows the solution set on a number line
Multiplicative Identity Property
The product of any number and 1 is always the original number.
Commutative Property
move numbers around when multiplying or adding and the product or sum is the same * = move
less than
all the numbers lower than...
closed circle
DOES include that point on a number line
Symmetric Property of Equality
If numbers are equal, they will still be equal if the order is changed.
Whole Numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Like Terms
Terms that have the same variable raised to the same exponent
inequality
a mathematical sentence that compares quantities
Multiplication Property of Equality
Multiplying the same number to both sides of an equation doesn't change the equality of the equation. Example: a=b so ac=bc
solution set
the set of all solutions of an inequality
Integer
All whole numbers (both positive and negative) and zero.
Distributive Property
The product of a number and a sum is equal to the sum of the individual products of terms.
Subtraction Property of Equality
Subtracting the same number from both sides of an equation doesn't change the equality of the equation. Example: a=b so a-c=b-c
No Solution
no number solves an equation
Commutative Property
Order doesn't matter
absolute value inequalities
in inequality with an absolute value
Multiplicative Property of 0
The product of any number and 0 is always 0.
Identity Property
If you add zero to a number, the sum is the same. If you multiply a number by one, the product is the same
Reflective Property of Equality
A number equals itself.
greater than
all the numbers larger than...
change the direction of the sign
"If you multiply or divide both sides of an inequality by a negative number, you change the direction of the sign."
Multiplicative Inverse Property
The product of any number and its reciprocal is equal to 1.
Distributive Property
the property that multiplies everything inside by the parenthesis by what's outside the parenthesis
Constant
A value that does not change
Inverse Property
Multiply a number by its reciprocal to get 1 or add the opposite of a number to get 0
Formula
A mathematical relationship or rule expressed in symbols.
Associative Property
The property that says that the sum or product of three or more numbers is always the same, no matter how your group them.
compound inequality
formed by joining two inequalities with "and" or "or"
Constant
A term without a variable
Coefficient
A number multiplied by a variable in an algebraic expression.
Addition Property of Equality
Adding the same number to both sides of an equation doesn't change the equality of the equation. Example: a=b so a+c=b+c.
Consecutive Integers
Integers that follow each other in order
Expression
A mathematical phrase that contains operations, numbers, and/or variables.
Literal Equation
an equation that contains two or more variables
Infinitely Many Solutions
Means that any value for the variable would make the equation true
Equation
A mathematical sentence that contains an equals sign.
less than or equal to
all the numbers less than or equal to...
Section 2
(18 cards)