Studied by 105 people

5.0(3)

Get a hint

Hint

1

Numerical Expression

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

New cards

2

Exponent

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

New cards

3

Base

in a power, the number being multiplied by itself.

New cards

4

Evaluate

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

New cards

5

Variable

a letter that represents an unspecified number or value.

New cards

6

Algebraic Expression

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

New cards

7

Term

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

New cards

8

Variable term

a term that contains a variable.

New cards

9

Constant term

a term that does not contain a variable.

New cards

10

Defining a variable

choosing a variable to represent the unknown in the problem.

New cards

11

Coefficient

a numerical factor of a term.

New cards

12

Like Terms

having the same variable factors with the same exponent.

New cards

13

Simplest form

writing an expression with no like terms or parentheses.

New cards

14

Equivalent Expressions

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

New cards

15

Absolute Value

the distance a number is from 0 on a number line

New cards

16

Reciprocal

a numbers multiplicative inverse that is used for dividing fractions.

New cards

17

Equation

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

New cards

18

Solve an equation

find all values of the variable that make it true.

New cards

19

Solution

each value that makes an equation true.

New cards

20

Equivalent equations

have the same solution.

New cards

21

Multi-step equation

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

New cards

22

Identity

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

New cards

23

Proportion

an equation stating that two ratios are equivalent.

New cards

24

Formula

an equation that expresses a relationship between certain quantities.

New cards

25

Literal equation

a formula or equation that involves more than one variable.

New cards

26

Relation

a set of ordered pairs.

New cards

27

Domain

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

New cards

28

Range

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

New cards

29

Mapping

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

New cards

30

Independent variable

does not change and is subject to choice.

New cards

31

Dependent variable

changes in response to another variable.

New cards

32

Scale

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

New cards

33

Function

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

New cards

34

Function notation

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

New cards

35

x-intercept

the coordinate where the graph crosses the x-axis.

New cards

36

y-intercept

the coordinate where the graph crosses the y-axis.

New cards

37

Positive

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

New cards

38

Negative

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

New cards

39

Root

a solution of an equation.

New cards

40

Zero

an x-intercept of the graph of a function.

New cards

41

Rate of change

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

New cards

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.

New cards

43

Parameter

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

New cards

44

Constant function

a linear function of the form y = b.

New cards

45

Family of graphs

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

New cards

46

Parent function

the simplest of functions in a family.

New cards

47

Absolute value function

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

New cards

48

Vertex

either the lowest or highest point of a function.

New cards

49

Parallel lines

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

New cards

50

Perpendicular lines

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

New cards

51

Bivariate data

data that consists of pairs of values.

New cards

52

Scatter plot

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

New cards

53

Trend

a general pattern of data.

New cards

54

Positive correlation

bivariate data in which y increases as x increases.

New cards

55

Negative correlation

bivariate data in which y decreases as x increases.

New cards

56

No correlation

bivariate data in which x and y are not related.

New cards

57

Line of fit

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

New cards

58

Linear extrapolation

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

New cards

59

Linear interpolation

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

New cards

60

Causation

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

New cards

61

Best-fit line

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

New cards

62

Linear regression

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

New cards

63

Correlation coefficient

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

New cards

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).

New cards

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).

New cards

66

Inequality

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

New cards

67

Interval notation

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

New cards

68

Compound inequality

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

New cards

69

Intersection

the graph of a compound inequality containing and.

New cards

70

Union

the graph of a compound inequality containing or.

New cards

71

Boundary

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

New cards

72

Half-plane

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

New cards

73

Open half-plane

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

New cards

74

Closed half-plane

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

New cards