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Math Vocab 1
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Terms in this set (64)
Order of Operations
Ch. 1 PEMDAS the order in which you solve an equation. (Parentheses, Exponents, Multiplication and Division left to right, Addition and Subtraction left to right)
Inequality
Ch. 1 An open sentence that contains the symbols < >
Like Terms
Ch. 1 Terms that contain the same variables, with corresponding variables having the same exponent.
Equivalent expressions
Ch. 1 Expressions that simplify to the same number.
Simplest Form
Ch. 1 An expression that is reduced as far as it can be. (Parentheses are gone and like terms are combined)
Coefficient
Ch. 1 The numerical factor of a term. (The number that is multiplied by the variable)
Positive Number
Ch. 1 Any value that is greater than zero.
Negative Number
Ch. 1 Any value less than zero.
Natural Numbers
Ch. 1 The number set 1,2,3,4,5,6,7,8,9,10.... (aka counting numbers)
Whole number
Ch. 1 The number set 0,1,2,3,4,5,6...
Integer
Ch. 1 The number set ...-3,-2,-1,0,1,2,3,4...
Discrete Function
Ch. 2 A function of points that are not connected.
Continuous Function
Ch. 2 A function that can be graphed with a line or a smooth curve.
Defining a Variable
Ch. 2 Choosing a variable to represent one of the unspecified numbers in the problem.
Formula
Ch. 2 An equation that states a rule for the relationship between certain quantities.
Equivalent Equations
Ch. 2 Equations that have the same solution.
Solve an Equation
Ch. 2 The process of finding all values of the variable that make the equation a true statement.
Multi-Step Equations
Ch. 2 Equations with more than one operation.
Consecutive Integers
Ch. 2 Integers in counting order.
Identity
Ch. 2 An equation that is true no matter what values are chosen.
Rational Numbers
Ch. 1 The set of numbers expressed in the form of a fraction a/b, where a and b are integers and b is not equal to zero.
Square Root
Ch. 1 One of two equal factors of a number.
Perfect Square
Ch. 1 A number with a square root that is a rational number.
Irrational Numbers
Ch. 1 Numbers that cannot be expressed as a fraction.
Real Numbers
Ch. 1 The set of rational numbers and the set of irrational numbers together.
Graph
Ch. 1 To draw, or plot, the points named by certain numbers or ordered pairs on a number line or coordinate plane.
Coordinate
Ch. 1 The number that corresponds to a point on a number line.
Radical Sign
Ch. 1 The symbol used to indicate a square root.
Principal Square Root
Ch. 1 The nonnegative square root of a number.
Rational Approximation
Ch. 1 A rational number that is close to-but not equal to- the value of an irrational number (pi=3.14).
Function (Chapter 1)
Ch. 1 A relation in which each element of the domain is paired with exactly one element of the range.
Coordinate System
Ch. 1 The grid formed by the intersection of two number lines, the horizontal axis and the vertical axis.
Y-axis
Ch. 1 The vertical line on a coordinate plane.
Origin
Ch. 1 The point where the two axes intersect at their zero points.
X-axis
Ch. 1 The horizontal number line on a coordinate plane.
Ordered Pair
Ch. 1 A set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
X-coordinate
Ch. 1 The first number in an ordered pair. It represents the point on the X-axis.
Y- coordinate
Ch. 1 The second number in an ordered pair. It represents the point on the Y-axis (8,
6
).
Independent variable
Ch. 1 The variable in a function with a value that is subject to choice. It will always be the X-coordinate, and it will most times be time.
Dependent Variable
Ch. 1 The variable in a relation with a value that depends on the value of the independent variable.
Relation
Ch. 1 A set of ordered pairs
Domain
Ch. 1 The set of the first numbers of the ordered pairs in a relation.
Range
Ch. 1 The set of second numbers of the ordered pairs in a relation.
Variable
Ch. 1 A symbol used to represent an unknown value.
Algebraic expression
Ch. 1 A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
Factors
Ch. 1 Factors are numbers you can multiply together to get another number. Example: 2 and 3 are factors of 6, because 2 × 3 = 6.
Product
Ch. 1 The answer to a multiplication problem.
Power
Ch. 1 The power of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number.
Base
Ch. 1 The number that is going to be raised to a power.
Exponent
Ch. 1 The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number.
Evaluate
Ch. 1 Find the value or solution.
Open sentence
Ch. 1 An equation that contains one or more variables and may be true or false depending on the value of it variable. Example: x + 2 = 3
Until we say what value "x" has, we don't know if "x + 2 = 3" is true or false.
Solution
Ch. 1 A value we can put in place of a variable (such as x) that makes the equation true.
Example: x + 2 = 7
When we put 5 in place of x we get: 5 + 2 = 7
Which is true, so x = 5 is a solution.
Equation
Ch. 1 An equation says that two things are equal. It will have an equals sign "=" like this: 7 + 2 = 10 − 1
Replacement set
Ch. 1 A set of elements any one of which may be used to replace a given variable or placeholder in a mathematical sentence or expression (as an equation).
Set
Ch. 1 A collection of "things" (objects or numbers, etc). Each member is called an element of the set. There should be only one of each member (all members are unique).
Example: {1,2,3,4} is the set of counting numbers less than 5.
Element
Ch. 1 A member of a set. The number 2 is an element of the set {1,2,3}
Solution set
Ch. 1 A set of values that satisfy a given set of equations or inequalities.
Additive identity
Ch. 1 Any number which, when added to 0 gives you the same number.
Additive inverse
Ch. 1 The number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
Multiplicative identity
Ch. 1 Multiplying a number by 1 leaves it unchanged:
a × 1 = 1 × a = a
Reciprocals
Ch. 1 The reciprocal of a number is: 1 divided by the number. Examples:
• the reciprocal of 2 is 1/2 (half)
• the reciprocal of 10 is 1/10 (=0.1)
Multiplicative inverse
Ch. 1 Another name for Reciprocal. When you multiply a number by its "Multiplicative Inverse" you get 1.
Example: 8 × (1/8) = 1
Commutative Property of Addition
Ch. 1 Is the Law that says you can swap numbers around and still get the same answer when you add. Or when you multiply.
Examples:
You can swap when you add: 6 + 3 = 3 + 6
You can swap when you multiply: 2 × 4 = 4 × 2
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