# Algebra Ch. 1 Definitions

The flashcards below were created by user Thorby on FreezingBlue Flashcards.

1. Absolute value
The distance that a number is from zero on a number line
The opposite of a number. Additive inverses sum to zero
3. Algebraic expression
The mathematical phrase that can include numbers, variables, and operation symbols
4. Base
A number that is multiplied repeatedly
5. Coefficient
Numerical factor when a term has a variable
6. Constant
A term that has no variable factor
7. Coordinate plane
A plane formed by two number lines that intersect at right angles
8. Coordinates
The numbers that make a ordered pair and identify the location of a point
9. Counterexample
Any example that proves a statement false
10. Deductive reasoning
A process of reasoning, logically from given facts to a conclusion
11. Element
An item in a matrix
12. Equation
Mathematical sentence that uses an equal sign
13. Evaluate
Substitute a given number for each variable and then simplify
14. Exponent
A number that shows repeated multiplication
15. Inequality
A mathematical sentence that compares the values of two expressions using an inequality symbol
16. Integers
Whole numbers and their opposites
17. Irrational numbers
A number that cannot be written as a ratio of two integers. Irrational numbers in decimal form is non-terminating and non-repeating
18. Like terms
Terms with exactly the same variable factors in a variable expression
19. Matrix
A rectangular arrangement of numbers. The number of rows and columns in the matrix determines its size
20. Multiplicative inverse/reciprocal
Given a nonzero rational number, a/b, the multiplicative inverse, or reciprocal, is b/a. The product of a nonzero number and its multiplicative inverse is always one
21. Natural numbers
The counting numbers (-1, 0, 1, 2, 3...)
22. Open sentence
An equation that contains one or more variables
23. Ordered pair
Two numbers that identify the location of a point
24. Origin
The point at which the axis of the coordinate plane intercept
The four parts into which the coordinate plane is divided by its axis
26. Rational numbers
A real number that can be written as a ration of two integers. Rational numbers in decimal form are terminating or repeating
27. Real numbers
A number that is either rational or irrational
28. Scatter plot
A graph that relates data of two different sets. The two sets of data are displayed as ordered pairs
29. Simplify
Replace an expression with its simplest name of form
30. Term
A number, variable, or the product or quotient of a number and one or more variables
31. Trend line
A line on a scatter plot drawn near the points. It shows a correlation
32. Variable
A symbol, usually a letter, that represents one or more numbers
33. Whole numbers
Nonnegative integers (0, 1, 2, 3...)
34. x-axis and y-axis
horizontal (x) and vertical (y) axis of the coordinate plane
35. x-coordinate and y-coordinate
location of an x-axis and y-axis of a point on the coordinate plane.
36. Consecutive integers
Integers that differ by one (-2, -1, 0, 1, 2…)
37. Equivalent equations
Equations that have the same solutions
38. Identity
Equation that is true for every value
39. Inverse operations
Operations that undo one another
40. Literal equation
An equation involving two or more variables
41. Measures of central tendency
Mean, median, and mode. They are used to organize/summarize a set of data
42. Outlier
A data value that is much higher or lower than the other data values in the set
43. Solution of an equation
Any value(s) that make an equation true
44. Stem-and-leaf plot
A display of data made by using the digits of the values
45. Uniform motion
The motion of an object moving at a constant rate
46. Range = x or y?
Domain = x or y?
• Range = y
• Domain = x
47. Compound inequalities
Two inequalities that are joined by and/or
48. Equivalent inequalities
Equivalent inequalities have the same set of solutions
49. Solution of an inequality
One variable – any value of values of a variable in the inequality that makes an inequality true
50. Arithmetic sequence
A number sequence formed by adding a fixed number to each previous term
51. Common difference
The fixed number added to each term of an arithmetic sequence
52. Conjecture
Conclusion reached by inductive reasoning
53. Constant of variation
Direct variation – nonzero constant k in the function y = kx
54. Dependent variable
A variable that provides the output values of a function (y on the graph)
55. Direct variation
A linear function that can be expressed in the form y = kx, where k is not 0
56. Function
A relation that assigns exactly one value in the range to each value of the domain
57. Function notation
To write a rule in function notation, you use the symbol f(x) in place of y
58. Function rule
An equation that describes a function
59. Independent variable
A variable that provides the imput values of a function (x in the graph)
60. Inductive reasoning
Making conclusions based on observed patterns
61. Relation
Any set of ordered pairs
62. Sequence
A number pattern
63. Term
A number, variable, or the product or quotient of a number and one of more variables Ex: 5x + (y/2) – 8 has three terms – 5x, y/2, -8
64. Vertical-line test
A method used to determine if a relation is a function or not. If the line passes through a graph more than once, the graph is NOT a function
65. Correlation Coefficient
A number that tells how closely the equation of best fit models the data. The value r of the correlation coefficient is in the range -1 < r < 1
66. Absolute value equation
Equation whose graph forms a V that opens up or down
67. Line of best fit
The most accurate trend line on a scatter plot showing the relationship between two sets of data
68. Linear equation
An equation whose graph forms a straight line
69. Negative reciprocal
A number of the form –b/a, where a/b is a nonzero rational number. The product of a number and its negative reciprocal is -1
70. Parallel lines
Two lines in the same plane that never intersect. Parallel lines have the same slope.
71. Perpendicular lines
Lines that intersect to form right angles. 2 lines are perpendicular if the product of their slopes is -1
72. Point-slope form
y-y₁ = m(x – x₁)
73. Rate of change
• Change in the dependent variable
• Change in the independent variable
74. Slope
• Ratio of the vertical change to horizontal change
• Vertical change = y₂ – y₁
• Horizontal change = x₂ – x₁
• Where x₂ – x₁ is not zero
75. Slope-intercept form
A linear equation of a nonvertical line written as y = mx + b, where m = slope & b = y-intercept
76. Standard form of a linear equation
The form of a linear equation Ax + By = C, where A, B, and C are real numbers and A and B are not zero
77. Translation
A transformation that shifts a graph horizontally, vertically, or both
78. x-intercept/y-intercept
• x-coordinate of the point where a line crosses the x-axis
• y-coordinate of the point where a line crosses the y-axis
79. Inputs - x or y?
Outputs - x or y?
• Inputs - x
• Outputs - y
80. How to solve 3r2?
3 * r2
 Author: Thorby ID: 56008 Card Set: Algebra Ch. 1 Definitions Updated: 2010-12-15 01:43:41 Tags: algebra chapter one definitions Folders: Description: Chapter one Vocab Show Answers: