Algebra 1 Vocabulary Flashcards
1
Q
The distance between zero and the point representing a real number on the number line.
A
Absolute Value
2
Q
The opposite of a number.
A
Additive inverse
3
Q
An expression that contains at least one variable.
A
Algebraic expression
4
Q
Putting terms in order “going up” based on the exponents.
A
Ascending order
5
Q
For any numbers a, b, and c: (a + b) + c = a + (b + c) and (ab)c = a(bc).
A
Associative property
6
Q
The line that divides a graph into two symmetrical parts that are mirror images or each other.
A
Axis of symmetry
7
Q
The repeated factor of a number written in exponential form.
A
Base
8
Q
A polynomial consisting of two terms
A
Binomial
9
Q
This is the number in front of the variables in a term
A
Coefficient
10
Q
Add or subtract terms that have the same variable and exponent.
A
Combine like terms
11
Q
For any numbers a, b and c: a + b + c = a + c+ b and abc = cba.
A
Commutative property
12
Q
The process of rewriting a quadratic equation so that one side is a perfect square trinomial.
A
Completing the Square
13
Q
Two inequalities that are combined into one statement by the word and or or.
A
Compound Inequality
14
Q
A system of equations that has at least one solution .
A
Consistent system
15
Q
A term with no variables.
A
Constant
16
Q
Opposite
A
Converse
17
Q
Formed by two number lines that intersect at their zero points.
A
Coordinate plane
18
Q
Ordered pairs that identify points on a plane.
A
Coordinates
19
Q
The process of using logic to draw conclusions.
A
Deductive reasoning
20
Q
The lower half of a fraction.
A
Denominator
21
Q
A system of equations that has infinitely many solutions.
A
Dependant System
22
Q
Putting terms in order “going down” based on the exponents.
A
Descending order
23
Q
The answer to a subtraction problem.
A
Difference
24
Q
A binomial whose terms are squares and have a minus sign between them.
A
Difference of two squares.
25
A linear relationship between two variables where there is a non-zero number k; y = kx.
Direct Variation
26
The expression inside the radical of the quadratic formula.
Discriminant
27
For any real numbers a, b, and c, a(b + c) = ab + ac.
Distributive property
28
The set of all first coordinates (x-values) of a relation or function.
Domain
29
Used to solve systems in which one variable is eliminated by adding or subtracting two equations in the system.
Elimination method
30
A mathematical sentence with an equal sign.
Equation
31
Expressions that are equal to each other.
Equivalent Expressions
32
Inequalities that have the same solution set.
Equivalent inequalities
33
Replace each variable with a number and follow the order of operation.
Evaluate
34
Means to multiply.
Expand
35
The number of times the base is used as a factor.
Exponent
36
An answer that does not satisfy the original equation.
Extraneous Solution
37
An integer that divides another integer with no remainder.
Factor
38
Rewriting a polynomial as the product of two or more factors
Factored form
39
A representation of an expression as a product of two or more expressions.
Factorization
40
An exponent that can be written as m/n where n≠0.
Fractional Exponent
41
A relation in which every domain value is paired with exactly one range value.
Function
42
If x is the independent variable and y is the dependent variable, then for y is f(x), read "f of x", where f names the function.
Function notation
43
Drawing a line to represent the solutions to an equation or inequality
Graph
44
Drawing a line to represent the solutions to an equation or inequality
Graph
45
The largest number that divides into two terms
Greatest common factor (GCF)
46
Symbols such as parentheses ( ), brackets [ ], and braces { } that separate a part of an expression. A fraction bar, absolute value symbols and radical symbols may also be used as grouping symbols
Grouping Symbols
47
A system of equations that has no solution
inconsistent system
48
A system of equations that has exactly one solution
Independent system
49
A sentence that uses one of the following symbols: < , > , ≤, ≥
Inequality
50
When the answer to a system of equations is exactly the same
infinite solutions
51
The set of whole numbers and their opposites
Integer
52
The set of all elements that are common to both sets, denoted by a ∩
Intersection
53
Two operations that undo each other, such as addition and subtraction
Inverse operation
54
A non-linear relationship between two variables where there is a non-zero number k; y = k/x
Inverse variation
55
A number that can be represented by a non-repeating, non-terminating decimal
Irrational Number
56
Collecting like terms and/or using inverse operations to get the variable by itself on one side of the equation
Isolate the Variable
57
The smallest denominator that two or more numbers have in common
Least common denominator (LCD)
58
Like Terms
Terms with the same variables raised to the same exponent
59
Linear equation
An equation written with one or more variables where the exponent of the variable is one
60
linear inequality
An inequality written with one or more variables where the exponent of the variable is one
61
Monomial
A polynomial consisting of one term
62
Multiple
The products of this number and any non-zero number
63
Multiplicative Identity property
Any number multiplied by one is that number
64
Multiplicative Inverse
The reciprocal of a number
65
Multiplicative Property of zero
Any number multiplied by zero is zero
66
Natural Number
The set of counting numbers
67
No Solution
When there is no answer to a system of equations or inequalities
68
Numerator
The upper half of a fraction
69
Numerical Expression
An expression that represents a particular number
70
Opposites
Numbers that have the same distance from 0 on a number line
71
Order of Operations
The rules for evaluating an expression involving more than one operation
72
Ordered Pair
A pair of numbers (x, y) used to identify a point in a Coordinate plane
73
origin
The intersection of the x axis and y axis on the coordinate plane
74
Parabola
An up-turned or down-turned U-shaped graph
75
Parallel
Lines or planes that never intersect
76
Perfect Square
The square of an integer
77
Perfect Square Trinomial or Trinomial Square
Can be factored as the square of a binomial
78
Perpendicular
Lines or planes that intersect to form right angles
79
Point-Slope Equation
A non-vertical line that contains a point (x1, y1) and has a slope of m and is found in the format of y - y1 = m(x - x1)
80
Polynomial
A monomial or sum of monomials
81
Power
An expression written with a base and an exponent
82
Prime Factorization
A representation of a number or a polynomial as a product of primes
83
Prime Number
A whole number greater than or equal to 2 that has exactly two positive factors, 1 and itself
84
Product
The answer to a multiplication problem
85
Properties of Equality
Rules that transform an equation into an equivalent equation
86
Property
A law that is followed in mathematics
87
Quadrant
One of the four regions into which coordinate axes divides a plane
88
Quadratic Expression
A collection of terms that has one term that contains a variable to the second power
89
Quadratic Formula
Used to find solutions to an equation that has a term with a variable to the second power
90
Quotient
The answer to a division problem
91
Rate
A ratio that compares two quantities measured in different units
92
Ratio
The relationship a/b of two quantities, a and b
93
Rational Expression
A fraction whose numerator and denominator are non-zero polynomial
94
Rational Number
Any number that you can write as a quotient of two integers a/b where b is not 0
95
Real Number
The set of numbers that include all rational and irrational numbers
96
Reciprocal
For a real number, a≠0, this is 1/a
97
Repeating Decimal
A rational number that has a block of one or more digits (that are not all zero) after the decimal point that continually show up
98
Replacement Set
A set of numbers that can be substituted for a variable
99
Rise
The difference in the y-values of two points on a line
100
Run
The difference in the x-values of two points on a line
101
Simplest Form
Is where the only common factor of a numerator and denominator is 1
102
Simplified Expression
To replace with an equivalent expression having as few terms as possible
103
Simplify
Put expressions into their most reduced form
104
Slope
A measure of steepness of a line, represented by m
105
Slope-Intercept Form
A line with slope m and y-intercept b has an equation y=mx+b
106
Solution
A value that makes the equation true
107
Solution of a Liner Inequality
Answers that make an inequality true
108
Solve
To find a solution to an equation or inequality
109
Standard Form of an Equation
AX + BY = C where A, B and C are constants, there are no fractions and A must be positive
110
Standard Form of Polynomials
When the terms of a polynomial are in order from greatest to least based on the value of the exponent
111
Substitution Method
A method used to solve systems by solving an equation for one variable and replacing the resulting expression into the other equation
112
Sum
The answer to an addition problem
113
System of Equations
A set of two of more linear equations that contain 2 or more variable
114
Terminating Decimal
A rational number that has a finite number of digits after the decimal point
115
Terms of an Expression
The parts that are added or subtracted from an expression
116
Trinomial
A polynomial consisting of three terms
117
Undefined
When there is no solution to the problem
118
Union
The set of all elements, denoted by a U
119
Variable
A letter that represents one or more numbers
120
Variable Expression
A symbolic form made up of constants, variables and operations
121
Whole Number
A number system that includes the Natural Numbers and Zero
122
X-Axis
The horizontal number line of a coordinate plane
123
X-Intercept
The point where a graph intersects the x-axis
124
Y-Axis
The vertical number line of a coordinate plane
125
Y-Intercept
The point where a graph intersects the y-axis
