Test #1
1-1
1. Algebraic Expression- An expression consisting of one or more numbers and variables along with one or more arithmetic operations.
2. Variables- 1. Symbols used to represent unspecified numbers or values. 2. A characteristic of a group of people or objects that can assume different values.
3. Term- A number, a variable, or the product or quotient of numbers and variables.
4. Factors- In an algebraic expression, the quantities being multiplied are called factors.
5. Product- In an algebraic expression, the result of quantities being multiplied is called the product.
6. Power- An expression of the form xn, read x to the nth power.
7. Exponent- In an expression of the form xn, the exponent is n. it indicates the number of times x is used as a factor.
8. Base- In an expression of the form xn, the base is x.
1-2
9. Evaluate- To find the value of an expression.
10. Order of Operations- Process used to solve mathematical expressions
1-3
11. Equivalent Expressions- Expressions that denote the same value for all values of the variable(s).
12. Additive Identity- For any number a, a+0=0+a=a
13. Multiplicative Identity- For any number a, a∙1=1∙a=a
14. Multiplicative Zero Property- The product of any number and zero is equal to 0.
15. Multiplicative Inverses- Two numbers with a product of 1.
16. Reciprocals- The Multiplicative inverse of a number.
17. Commutative Property- The order in which you add or multiply numbers does not change their sum or product.
18. Associative Property- The way you group three or more numbers when adding or multiplying does not change their sum or product.
19. Proof- A logical argument in which each statement you make is supported by a statement that is accepted as true.
1-4
20. Distributive Property- For any numbers a, b, and c, a(b+c) = ab+ac. And, for any numbers a, b, and c, (b+c)a = ba + ca.
21. Like Terms- Terms that contain the same variables, with corresponding variables having the same exponent.
22. Simplest Form- An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.
23. Coefficient- The numerical factor of a term.
1-5
24. Open Sentence- A mathematical statement with one or more variables.
25. Equation- A mathematical sentence that contains an equals sign, =.
26. Solving- Finding a value for a variable that makes a sentence true.
27. Solution- A replacement value for the variable in an open sentence.
28. Replacement Set- A set of numbers from each which replacements for a variable may be chosen.
29. Set- A collection of objects or numbers that is often shown using braces.
30. Element- Each object or number in the set.
31. Solution Set- The set of elements from the replacement set that make an open sentence true.
32. Identity- An equation that is true for every value of the variable.
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33. Coordinate System- The grid formed by the intersection of two number line, the horizontal axis and the vertical axis.
34. Coordinate Plane- The plane containing the x- and y-axes.
35. Y-Axis- The vertical number line on a coordinate plane.
36. X-Axis- The horizontal number line on a coordinate plane.
37. Origin- The point where the two axes intersect at their zero points.
38. Ordered Pair- A set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
39. X-Coordinate- The first number in an ordered pair.
40. Y-Coordinate- The second number in an ordered pair.
41. Relation- A set of ordered pairs.
42. Mapping- Illustrates how each element of the domain is paired with an element in the range.
43. Domain- The set of the first numbers of the ordered pairs in a relation.
44. Range- 1. The set of second numbers of the ordered pairs in a relation. 2. The difference between the greatest and least data values.
45. Independent Variable- The variable in a function with a value that is subject to choice.
46. Dependent Variable- The variable in a relation with a value that depends on the value of the independent variable.
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47. Function- A relation in which each element of the domain is paired with exactly one element of the range.
48. Discrete Function- A function of points that are not connected.
49. Continuous Function- A function that can be graphed with a line or a smooth curve.
50. Vertical Line Test- If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.
51. Function Notation- A way to name a function that is defined by an equation. In function notation, the equations y=3x-8 is written as f(x)=3x-8.
52. Nonlinear Function- A function with a graph that is not a straight line.
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53. Intercepts- Points on a graph where the graph intercepts and axis.
54. Y-Intercept- The y-coordinate of a point where a graph crosses the y-axis.
55. X-Intercept- The x-coordinate of a point where a graph crosses the x-axis.
56. Positive- A function is positive on a portion of its domain where its graph lies above the x-axis.
57. Negative- A function is negative on portion of its domain where its graph lies below the x-axis.
58. Increasing- The graph of a function goes up on a portion of its domain when viewed from left to right.
59. Decreasing- The graph of a function goes down on a portion of its domain when viewed from left to right.
60. Extrema- Points of relatively high or low function values.
61. Relative Minimum- The point with the least y-coordinate.
62. Relative Maximum- The point with the greatest y-coordinate.
63. End Behavior- Describes how the values of a function behave at each end of the graph.o edit.
1-1
1. Algebraic Expression- An expression consisting of one or more numbers and variables along with one or more arithmetic operations.
2. Variables- 1. Symbols used to represent unspecified numbers or values. 2. A characteristic of a group of people or objects that can assume different values.
3. Term- A number, a variable, or the product or quotient of numbers and variables.
4. Factors- In an algebraic expression, the quantities being multiplied are called factors.
5. Product- In an algebraic expression, the result of quantities being multiplied is called the product.
6. Power- An expression of the form xn, read x to the nth power.
7. Exponent- In an expression of the form xn, the exponent is n. it indicates the number of times x is used as a factor.
8. Base- In an expression of the form xn, the base is x.
1-2
9. Evaluate- To find the value of an expression.
10. Order of Operations- Process used to solve mathematical expressions
1-3
11. Equivalent Expressions- Expressions that denote the same value for all values of the variable(s).
12. Additive Identity- For any number a, a+0=0+a=a
13. Multiplicative Identity- For any number a, a∙1=1∙a=a
14. Multiplicative Zero Property- The product of any number and zero is equal to 0.
15. Multiplicative Inverses- Two numbers with a product of 1.
16. Reciprocals- The Multiplicative inverse of a number.
17. Commutative Property- The order in which you add or multiply numbers does not change their sum or product.
18. Associative Property- The way you group three or more numbers when adding or multiplying does not change their sum or product.
19. Proof- A logical argument in which each statement you make is supported by a statement that is accepted as true.
1-4
20. Distributive Property- For any numbers a, b, and c, a(b+c) = ab+ac. And, for any numbers a, b, and c, (b+c)a = ba + ca.
21. Like Terms- Terms that contain the same variables, with corresponding variables having the same exponent.
22. Simplest Form- An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.
23. Coefficient- The numerical factor of a term.
1-5
24. Open Sentence- A mathematical statement with one or more variables.
25. Equation- A mathematical sentence that contains an equals sign, =.
26. Solving- Finding a value for a variable that makes a sentence true.
27. Solution- A replacement value for the variable in an open sentence.
28. Replacement Set- A set of numbers from each which replacements for a variable may be chosen.
29. Set- A collection of objects or numbers that is often shown using braces.
30. Element- Each object or number in the set.
31. Solution Set- The set of elements from the replacement set that make an open sentence true.
32. Identity- An equation that is true for every value of the variable.
1-6
33. Coordinate System- The grid formed by the intersection of two number line, the horizontal axis and the vertical axis.
34. Coordinate Plane- The plane containing the x- and y-axes.
35. Y-Axis- The vertical number line on a coordinate plane.
36. X-Axis- The horizontal number line on a coordinate plane.
37. Origin- The point where the two axes intersect at their zero points.
38. Ordered Pair- A set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
39. X-Coordinate- The first number in an ordered pair.
40. Y-Coordinate- The second number in an ordered pair.
41. Relation- A set of ordered pairs.
42. Mapping- Illustrates how each element of the domain is paired with an element in the range.
43. Domain- The set of the first numbers of the ordered pairs in a relation.
44. Range- 1. The set of second numbers of the ordered pairs in a relation. 2. The difference between the greatest and least data values.
45. Independent Variable- The variable in a function with a value that is subject to choice.
46. Dependent Variable- The variable in a relation with a value that depends on the value of the independent variable.
1-7
47. Function- A relation in which each element of the domain is paired with exactly one element of the range.
48. Discrete Function- A function of points that are not connected.
49. Continuous Function- A function that can be graphed with a line or a smooth curve.
50. Vertical Line Test- If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.
51. Function Notation- A way to name a function that is defined by an equation. In function notation, the equations y=3x-8 is written as f(x)=3x-8.
52. Nonlinear Function- A function with a graph that is not a straight line.
1-8
53. Intercepts- Points on a graph where the graph intercepts and axis.
54. Y-Intercept- The y-coordinate of a point where a graph crosses the y-axis.
55. X-Intercept- The x-coordinate of a point where a graph crosses the x-axis.
56. Positive- A function is positive on a portion of its domain where its graph lies above the x-axis.
57. Negative- A function is negative on portion of its domain where its graph lies below the x-axis.
58. Increasing- The graph of a function goes up on a portion of its domain when viewed from left to right.
59. Decreasing- The graph of a function goes down on a portion of its domain when viewed from left to right.
60. Extrema- Points of relatively high or low function values.
61. Relative Minimum- The point with the least y-coordinate.
62. Relative Maximum- The point with the greatest y-coordinate.
63. End Behavior- Describes how the values of a function behave at each end of the graph.o edit.