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Algebra I Honors > Chapter 1 - Vocabulary > Flashcards

Chapter 1 - Vocabulary Flashcards

1
Q

Algebraic Expression

2x + 3y - 4z

A

An algebraic expression consists of sums and/or products of numbers and variables

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2
Q

Variables

2x - 3 = 4 The variable would be x

A

Variables are symbols used to represent unspecified numbers of values.

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3
Q

Term

2x + 4 = .10x

2x, 4, and .10x are terms

A

Terms of an expression may be a number, a variable, or a product or quotient of numbers or variables.

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4
Q

Factors

A

In a multiplication equation, the quantities being multiplied are called factors.

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5
Q

Product

A

The result of multiplying two factors is a product.

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6
Q

Power

A

An expression like x^n or x to the nth power is called a power. The word power can also refer to an exponent.

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7
Q

Exponent

A

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

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8
Q

Base

A

In an expression in the form x^n, the base is x.

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9
Q

Evaluate

A

To evaluate an expression, means to find it’s value.

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10
Q

Order of Operations

A

The rule that lets you know which operation to preform first is called the Order of Operations.

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11
Q

Equivalent Expression

A

The expressions 4k + 8k and 12k are called equivalent expressions because they represent the same number.

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12
Q

Additive Identity

A

The sum of any number and 0 is equal to the number. Thus, 0 is called the additive identity.

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13
Q

Multiplicative Identity

A

Since the product of any number and 1 is equal to the number, 1 is called the multiplicative identity.

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14
Q

Multiplicative Property of Zero

A

The product of any number and 0 is equal to 0. This is called the Multiplicative Property of Zero.

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15
Q

Multiplicative Inverses

A

Two numbers whose products is 1 are called Multiplicative Inverses.

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16
Q

Reciprocals

A

Two numbers whose product is 1 are called multiplicative inverses or reciprocals. 0 has no reciprocals because any number times 0 is 0.

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17
Q

Communicative Property

A

a + b = b + a

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18
Q

Associative Property

A

An easy way to find the sum or product of numbers is to group, or associate, the numbers using the Associative Property.

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19
Q

Proof

A

A proof is a logical argument in which each statement you make is supported by a statement that is accepted as true.

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20
Q

Closure Property

A

The sum of any two whole numbers is always a whole number. So, the set of whole numbers {0,1,2,3,4,…} is said to be closed under addition. This is an example of the closure property.

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21
Q

Accuracy

A

Accuracy refers to how close a measured value comes to the actual or desired value.

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22
Q

Distributive Property

A

a(b + c) = ab + ac

a(b - c) = ab - ac

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23
Q

Symmetric Property of Equality

A

The Symmetric Property of Equality allows the Distributive Property to be written as follows:

a(b + c) = ab + ac, then ab + ac = a(b + c)

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24
Q

Like Terms

A

Like Terms are terms that contain the same variables, with corresponding variables having the same power.

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25
Q

Simplest Form

A

An expression is in simplest form when it contains no like terms or parenthesis.

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26
Q

Coefficient

A

The coefficient of a term is the numerical factor.

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27
Q

Open Sentence

A

A mathematical statement that contains algebraic expressions and symbols is an open sentence.

28
Q

Equation

A

A sentence that contains an equal sign, =, is an equation.

29
Q

Solving

A

Finding a value for a variable that makes a sentence true is called solving.

30
Q

Solution

A

The replacement value is a solution.

31
Q

Replacement Set

A

A set of numbers from which replacements for a variable may be chosen is called a replacement set.

32
Q

Set

A

A set is a collection of objects or numbers that is often shown using braces.

33
Q

Solution Set

A

A solution set is the set of elements from the replacement set that make an open sentence true.

34
Q

Element

A

Each object or number in the set is called an element.

35
Q

Identity

A

An equation that is true for every value of the variable is called an identity.

36
Q

y-axis

A

The vertical axis is also called the y-axis.

37
Q

Coordinate System

A

A coordinate system is formed by the intersection of two number lines, the horizontal axis and the vertical axis.

38
Q

Origin

A

The origin, at (0,0), is the point where the axes intercept.

39
Q

Coordinate Plane

A

The plane containing the x- and y-axes is the coordinate plane.

40
Q

Ordered Pair

A

Each point is named by an ordered pair.

41
Q

x-axis

A

The horizontal axis is also called the x-axis.

42
Q

y-coordinate

A

The y-value, called the y-coordinate, represents the vertical placement of the point.

43
Q

x-coordinate

A

The x-value, called the x-coordinate, represents the horizontal placement of the point.

44
Q

Relation

A

A set of ordered pairs is called a relation. A relation can be represented in several different ways: as an equation, in a graph, with a table, or with a mapping.

45
Q

Mapping

A

A mapping illustrates how each element of the domain is paired with an element in the range.

46
Q

Domain

A

The set of first numbers of the ordered pairs is the domain.

47
Q

Range

A

The set of second numbers of the ordered pairs is the range of the relation.

48
Q

Independent Variable

A

In a relation, the value of the variable that determines the output is called the independent variable.

49
Q

Dependent Variable

A

The variable with a value that is dependent on the value of the independent variable is called the dependent variable.

50
Q

Function

A

A function is a relationship between input and output.

51
Q

Discrete Function

A

A graph that consists of points that are not connected is a discrete functions.

52
Q

Continuous Function

A

A function graphed with a line or smooth curve is a continuous function.

53
Q

Vertical Line Test

A

You can use the vertical line test to see if a graph represents a function. If a vertical line intersects the graph more than once, then the graph is not a function. Otherwise, the relation is a function.

54
Q

Function Notation

f(x) = 2x - 6

A

Equation that are functions can be written in a form called function notation.

Equation Function Notation

y = 2x - 6 f(x) = 2x - 6

55
Q

Nonlinear Function

A

A function with a graph that is not a straight line is a non-linear function.

56
Q

Intercepts

A

The intercepts of a graph are points where the graph intercepts an axis.

57
Q

y-intercept

A

The y-coordinate of the point at which the graph intercepts the y-axis is called the y-intercept.

58
Q

x-intercept

A

The x-coordinate of the point at which a graph intersects the x-axis is called an x-intercept.

59
Q

Line Symmetry

A

A graph possesses line symmetry in the y-axis or some other vertical line of each half of the graph on either side of the line matches exactly.

60
Q

Postive

A

A function is positive where it’s graph lies above the x-axis.

61
Q

Negative

A

A function is negative where it’s graph lies below the x-axis.

62
Q

Increasing

A

A function is increasing where the graph goes up.

63
Q

Decreasing

A

A function is decreasing where the graph goes down when viewed from left to right.

64
Q

Extrema

A

The points shown are the locations of relatively high or low function values called extrema.

65
Q

Relative Minimum

A

A point is a relative minimum if no other nearby points have a lesser y-coordinate.

66
Q

Relative Maximum

A

A point is a relative maximum when no other nearby points have a greater y-coordinate.

67
Q

End Behavior

A

End behavior describes the values of a function at the positive and negative extremes in it’s domain.

Algebra I Honors (3 decks)

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