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Algebra 1 Vocabulary > Algebra 1 Vocabulary > Flashcards

Algebra 1 Vocabulary Flashcards

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1
Q

The distance between zero and the point representing a real number on the number line.

A

Absolute Value

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2
Q

The opposite of a number.

A

Additive inverse

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3
Q

An expression that contains at least one variable.

A

Algebraic expression

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4
Q

Putting terms in order “going up” based on the exponents.

A

Ascending order

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5
Q

For any numbers a, b, and c: (a + b) + c = a + (b + c) and (ab)c = a(bc).

A

Associative property

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6
Q

The line that divides a graph into two symmetrical parts that are mirror images or each other.

A

Axis of symmetry

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7
Q

The repeated factor of a number written in exponential form.

A

Base

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8
Q

A polynomial consisting of two terms

A

Binomial

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9
Q

This is the number in front of the variables in a term

A

Coefficient

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10
Q

Add or subtract terms that have the same variable and exponent.

A

Combine like terms

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11
Q

For any numbers a, b and c: a + b + c = a + c+ b and abc = cba.

A

Commutative property

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12
Q

The process of rewriting a quadratic equation so that one side is a perfect square trinomial.

A

Completing the Square

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13
Q

Two inequalities that are combined into one statement by the word and or or.

A

Compound Inequality

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14
Q

A system of equations that has at least one solution .

A

Consistent system

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15
Q

A term with no variables.

A

Constant

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16
Q

Opposite

A

Converse

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17
Q

Formed by two number lines that intersect at their zero points.

A

Coordinate plane

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18
Q

Ordered pairs that identify points on a plane.

A

Coordinates

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19
Q

The process of using logic to draw conclusions.

A

Deductive reasoning

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20
Q

The lower half of a fraction.

A

Denominator

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21
Q

A system of equations that has infinitely many solutions.

A

Dependant System

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22
Q

Putting terms in order “going down” based on the exponents.

A

Descending order

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23
Q

The answer to a subtraction problem.

A

Difference

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24
Q

A binomial whose terms are squares and have a minus sign between them.

A

Difference of two squares.

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25
Q

A linear relationship between two variables where there is a non-zero number k; y = kx.

A

Direct Variation

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26
Q

The expression inside the radical of the quadratic formula.

A

Discriminant

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27
Q

For any real numbers a, b, and c, a(b + c) = ab + ac.

A

Distributive property

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28
Q

The set of all first coordinates (x-values) of a relation or function.

A

Domain

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29
Q

Used to solve systems in which one variable is eliminated by adding or subtracting two equations in the system.

A

Elimination method

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30
Q

A mathematical sentence with an equal sign.

A

Equation

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31
Q

Expressions that are equal to each other.

A

Equivalent Expressions

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32
Q

Inequalities that have the same solution set.

A

Equivalent inequalities

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33
Q

Replace each variable with a number and follow the order of operation.

A

Evaluate

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34
Q

Means to multiply.

A

Expand

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35
Q

The number of times the base is used as a factor.

A

Exponent

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36
Q

An answer that does not satisfy the original equation.

A

Extraneous Solution

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37
Q

An integer that divides another integer with no remainder.

A

Factor

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38
Q

Rewriting a polynomial as the product of two or more factors

A

Factored form

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39
Q

A representation of an expression as a product of two or more expressions.

A

Factorization

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40
Q

An exponent that can be written as m/n where n≠0.

A

Fractional Exponent

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41
Q

A relation in which every domain value is paired with exactly one range value.

A

Function

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42
Q

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.

A

Function notation

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43
Q

Drawing a line to represent the solutions to an equation or inequality

A

Graph

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44
Q

Drawing a line to represent the solutions to an equation or inequality

A

Graph

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45
Q

The largest number that divides into two terms

A

Greatest common factor (GCF)

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46
Q

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

A

Grouping Symbols

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47
Q

A system of equations that has no solution

A

inconsistent system

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48
Q

A system of equations that has exactly one solution

A

Independent system

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49
Q

A sentence that uses one of the following symbols: < , > , ≤, ≥

A

Inequality

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50
Q

When the answer to a system of equations is exactly the same

A

infinite solutions

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51
Q

The set of whole numbers and their opposites

A

Integer

52
Q

The set of all elements that are common to both sets, denoted by a ∩

A

Intersection

53
Q

Two operations that undo each other, such as addition and subtraction

A

Inverse operation

54
Q

A non-linear relationship between two variables where there is a non-zero number k; y = k/x

A

Inverse variation

55
Q

A number that can be represented by a non-repeating, non-terminating decimal

A

Irrational Number

56
Q

Collecting like terms and/or using inverse operations to get the variable by itself on one side of the equation

A

Isolate the Variable

57
Q

The smallest denominator that two or more numbers have in common

A

Least common denominator (LCD)

58
Q

Like Terms

A

Terms with the same variables raised to the same exponent

59
Q

Linear equation

A

An equation written with one or more variables where the exponent of the variable is one

60
Q

linear inequality

A

An inequality written with one or more variables where the exponent of the variable is one

61
Q

Monomial

A

A polynomial consisting of one term

62
Q

Multiple

A

The products of this number and any non-zero number

63
Q

Multiplicative Identity property

A

Any number multiplied by one is that number

64
Q

Multiplicative Inverse

A

The reciprocal of a number

65
Q

Multiplicative Property of zero

A

Any number multiplied by zero is zero

66
Q

Natural Number

A

The set of counting numbers

67
Q

No Solution

A

When there is no answer to a system of equations or inequalities

68
Q

Numerator

A

The upper half of a fraction

69
Q

Numerical Expression

A

An expression that represents a particular number

70
Q

Opposites

A

Numbers that have the same distance from 0 on a number line

71
Q

Order of Operations

A

The rules for evaluating an expression involving more than one operation

72
Q

Ordered Pair

A

A pair of numbers (x, y) used to identify a point in a Coordinate plane

73
Q

origin

A

The intersection of the x axis and y axis on the coordinate plane

74
Q

Parabola

A

An up-turned or down-turned U-shaped graph

75
Q

Parallel

A

Lines or planes that never intersect

76
Q

Perfect Square

A

The square of an integer

77
Q

Perfect Square Trinomial or Trinomial Square

A

Can be factored as the square of a binomial

78
Q

Perpendicular

A

Lines or planes that intersect to form right angles

79
Q

Point-Slope Equation

A

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
Q

Polynomial

A

A monomial or sum of monomials

81
Q

Power

A

An expression written with a base and an exponent

82
Q

Prime Factorization

A

A representation of a number or a polynomial as a product of primes

83
Q

Prime Number

A

A whole number greater than or equal to 2 that has exactly two positive factors, 1 and itself

84
Q

Product

A

The answer to a multiplication problem

85
Q

Properties of Equality

A

Rules that transform an equation into an equivalent equation

86
Q

Property

A

A law that is followed in mathematics

87
Q

Quadrant

A

One of the four regions into which coordinate axes divides a plane

88
Q

Quadratic Expression

A

A collection of terms that has one term that contains a variable to the second power

89
Q

Quadratic Formula

A

Used to find solutions to an equation that has a term with a variable to the second power

90
Q

Quotient

A

The answer to a division problem

91
Q

Rate

A

A ratio that compares two quantities measured in different units

92
Q

Ratio

A

The relationship a/b of two quantities, a and b

93
Q

Rational Expression

A

A fraction whose numerator and denominator are non-zero polynomial

94
Q

Rational Number

A

Any number that you can write as a quotient of two integers a/b where b is not 0

95
Q

Real Number

A

The set of numbers that include all rational and irrational numbers

96
Q

Reciprocal

A

For a real number, a≠0, this is 1/a

97
Q

Repeating Decimal

A

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
Q

Replacement Set

A

A set of numbers that can be substituted for a variable

99
Q

Rise

A

The difference in the y-values of two points on a line

100
Q

Run

A

The difference in the x-values of two points on a line

101
Q

Simplest Form

A

Is where the only common factor of a numerator and denominator is 1

102
Q

Simplified Expression

A

To replace with an equivalent expression having as few terms as possible

103
Q

Simplify

A

Put expressions into their most reduced form

104
Q

Slope

A

A measure of steepness of a line, represented by m

105
Q

Slope-Intercept Form

A

A line with slope m and y-intercept b has an equation y=mx+b

106
Q

Solution

A

A value that makes the equation true

107
Q

Solution of a Liner Inequality

A

Answers that make an inequality true

108
Q

Solve

A

To find a solution to an equation or inequality

109
Q

Standard Form of an Equation

A

AX + BY = C where A, B and C are constants, there are no fractions and A must be positive

110
Q

Standard Form of Polynomials

A

When the terms of a polynomial are in order from greatest to least based on the value of the exponent

111
Q

Substitution Method

A

A method used to solve systems by solving an equation for one variable and replacing the resulting expression into the other equation

112
Q

Sum

A

The answer to an addition problem

113
Q

System of Equations

A

A set of two of more linear equations that contain 2 or more variable

114
Q

Terminating Decimal

A

A rational number that has a finite number of digits after the decimal point

115
Q

Terms of an Expression

A

The parts that are added or subtracted from an expression

116
Q

Trinomial

A

A polynomial consisting of three terms

117
Q

Undefined

A

When there is no solution to the problem

118
Q

Union

A

The set of all elements, denoted by a U

119
Q

Variable

A

A letter that represents one or more numbers

120
Q

Variable Expression

A

A symbolic form made up of constants, variables and operations

121
Q

Whole Number

A

A number system that includes the Natural Numbers and Zero

122
Q

X-Axis

A

The horizontal number line of a coordinate plane

123
Q

X-Intercept

A

The point where a graph intersects the x-axis

124
Q

Y-Axis

A

The vertical number line of a coordinate plane

125
Q

Y-Intercept

A

The point where a graph intersects the y-axis

Algebra 1 Vocabulary (1 decks)

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