Honors Algebra 1 All Year Vocab

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Numerical Expression

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Vocab for whole year of Algebra 1

Algebra

9th

74 Terms

1

Numerical Expression

a mathematical phrase involving numbers and operation symbols, but no variables. There’s NO EQUAL SIGN. Ex. 5 - 3

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2

Exponent

indicates the number of times a number is being multiplied by itself.

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3

Base

in a power, the number being multiplied by itself.

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4

Evaluate

find the value of an expression by simplifying using the order of operations.

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5

Variable

a letter that represents an unspecified number or value.

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6

Algebraic Expression

a mathematical phrase that includes one or more variables. There is NO EQUAL SIGN in an expression. Ex. y + 4

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7

Term

is a number, a variable, or the product or quotient of a number and one or more variables.

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8

Variable term

a term that contains a variable.

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9

Constant term

a term that does not contain a variable.

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10

Defining a variable

choosing a variable to represent the unknown in the problem.

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11

Coefficient

a numerical factor of a term.

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12

Like Terms

having the same variable factors with the same exponent.

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13

Simplest form

writing an expression with no like terms or parentheses.

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14

Equivalent Expressions

two algebraic expressions that have the same value for all values of the variable(s).

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15

Absolute Value

the distance a number is from 0 on a number line

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16

Reciprocal

a numbers multiplicative inverse that is used for dividing fractions.

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17

Equation

a mathematical statement that contains two expressions and an equal sign.

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18

Solve an equation

find all values of the variable that make it true.

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19

Solution

each value that makes an equation true.

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20

Equivalent equations

have the same solution.

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21

Multi-step equation

this uses more than one property of equality to solve it.

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22

Identity

an equation that is true for all values of its variables.

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23

Proportion

an equation stating that two ratios are equivalent.

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24

Formula

an equation that expresses a relationship between certain quantities.

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25

Literal equation

a formula or equation that involves more than one variable.

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26

Relation

a set of ordered pairs.

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27

Domain

the set of the first numbers of the ordered pairs in a relation.

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28

Range

the set of second numbers of the ordered pairs in a relation.

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29

Mapping

an illustration that shows how each element of the domain is paired with an element in the range.

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30

Independent variable

does not change and is subject to choice.

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31

Dependent variable

changes in response to another variable.

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32

Scale

the distance between tick marks on the x- and y-axes.

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33

Function

a relation in which each domain value is matched with exactly one element of the range.

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34

Function notation

a way of writing an equation so that y = f(x).

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35

x-intercept

the coordinate where the graph crosses the x-axis.

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36

y-intercept

the coordinate where the graph crosses the y-axis.

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37

Positive

where the graph of a function lies above the x-axis.

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38

Negative

where the graph of a function lies below the x-axis.

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39

Root

a solution of an equation.

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40

Zero

an x-intercept of the graph of a function.

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41

Rate of change

how a quantity is changing with respect to a change in another quantity.

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42

Slope

the rate of change in the y-coordinates (rise) to the corresponding change in the x-coordinates (run) for points on a line.

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43

Parameter

a value in the equation of a function that can be varied to yield a family of functions.

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44

Constant function

a linear function of the form y = b.

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45

Family of graphs

graphs and equations of graphs that have at least one characteristic in common.

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46

Parent function

the simplest of functions in a family.

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47

Absolute value function

A function in which f(x) > 0 for all values of x.

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48

Vertex

either the lowest or highest point of a function.

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49

Parallel lines

nonvertical lines in the same plane that have the same shape.

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50

Perpendicular lines

nonvertical lines in the same plane for which the product of the slopes is -1.

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51

Bivariate data

data that consists of pairs of values.

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52

Scatter plot

a graph of bivariate data that consists of ordered pairs on a coordinate plane.

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53

Trend

a general pattern of data.

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54

Positive correlation

bivariate data in which y increases as x increases.

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55

Negative correlation

bivariate data in which y decreases as x increases.

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56

No correlation

bivariate data in which x and y are not related.

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57

Line of fit

a lines used to describe the trend of the data in a scatter plot.

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58

Linear extrapolation

the use of a linear equation to predict values that are outside the range of data.

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59

Linear interpolation

the use of a linear equation to predict values that are inside the range of data.

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60

Causation

when a change in one variable produces a change in another variable.

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61

Best-fit line

the line that most closely approximates the data in a scatter plot.

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62

Linear regression

an algorithm used to find a precise line of fit for a set of data.

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63

Correlation coefficient

a measure that shows how well data are modeled by a regression function.

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64

Inverse relations

two relations, one of which contains points of the form (a, b) while the other contains points of the form (b, a).

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65

Inverse functions

two functions, one of which contains points of the form (a, b) while the other contains points of the form (b, a).

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66

Inequality

a mathematical sentence that contains <, >, <, > or ≠.
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67

Interval notation

a method to represent an interval on a number line using different brackets.

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68

Compound inequality

two or more inequalities that are connected by the words and or or.

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69

Intersection

the graph of a compound inequality containing and.

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70

Union

the graph of a compound inequality containing or.

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71

Boundary

the edge of the graph of an inequality that separates the coordinate plane into regions

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72

Half-plane

a region of the graph of an inequality on one side of a boundary.

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73

Open half-plane

the solution of a linear inequality that does not include the boundary line.

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74

Closed half-plane

the solution of a linear inequality that includes the boundary line.

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