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| What is the order and Pneumonic of The Complex Number System? |
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Definition
Natural, Whole, Integer, Rational, Real, and Complex.
NWJQRC |
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| Part of the Complex Number System: {1, 2, 3...} |
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Definition
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| Part of the Complex Number System. {0, 1, 2, 3...}. Name and Equation. |
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Definition
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Part of the Complex Number System. {...-3, -2, -1, 0, 1, 2, 3...}. Name and Equation.
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Definition
Integer Numbers
J={...-3, -2, -1}UW |
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Term
Part of the Complex Number System. A number of a form (p/q), where p and q are _________ and q__0. Name and Equation.
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Definition
Rational Numbers. "Integers", "is not equal to".
Q={Terminating or Repeating Decimals}UJ |
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Term
| Name the two types of Decimals that are rational numbers. |
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Definition
Terminating: Ex {1/2 = .5 or 3/4 = .75}
Repeating: Ex {1/3 = .33 (repeating) or 5/11 = .4545 (repeating) |
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Term
Part of the Complex Number System. A non-terminating, non-repeating decimal.
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Definition
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Term
| Real numbers include ________ _______. Examples include: √2 = 1.41421356, and π= 3.146... |
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Definition
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Term
| The Equation for Real Numbers. |
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Definition
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Term
Part of the Complex Number System. a Number or the form a+bi or a-bi, where "a" is the real number part and "bi" is the imaginary number part. "i" is the imaginary number defined as i=√-1. Name and Equation.
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Definition
Complex Numbers.
C={Imaginary Numbers}UR |
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Term
<, ≤, >, and ≥. Used to show the order of two numbers.
Also name in order the symbols above.
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Definition
The Inequality Symbols.
Less than, less than or equal to, greater than, greater than or equal to. |
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Term
A Property of Real Numbers for Addition/Multiplication. "The sum of 2 real numbers is a real number".
5+4=9 |
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Definition
| Closure Property of Addition. |
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Term
A Property of Real Numbers for Addition/Multiplication. "The product of 2 real numbers is a real number.
2x4=8
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Definition
| Closure Property of Multiplication |
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Term
A Property of Real Numbers for Addition/Multiplication. "The Property that allows you to change the numbers around the addition sign and still maintain equality".
3+4=4+3
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Definition
| Commutative Property of Addition |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to change the numbers around the multiplication sign and still maintain equality".
5x6=6x5
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Definition
| Commutative Property of Multiplication |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to regroup the numbers and still maintain equality".
2+(3+4)=(2+3)+4
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Definition
| Associative Property of Addition |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to regroup the numbers and still maintain equality.
2(3x4)=(2x3)4
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Definition
| Associative Property of Multiplication |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that states you can add 0 to a number and retain that same number".
8+0=8
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Definition
| Identity Property of Addition |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that states you can multiply a number by 1 and still retain the same number".
9x1=9
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Definition
| Identity Property of Multiplication |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to add a number and its opposite and obtain 0 for the answer".
7+(-7)=0
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Definition
| Inverse Property of Addition |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to multiply a number times its recipricol and obtain 1 for the answer".
6x(1/6)=1
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Definition
| Inverse Property of Multiplication |
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Term
A Property of Real Numbers for Addition/Multiplication. "The property that allows you to multiply a number times a sum or difference and still maintain equality".
3(4+5)=(3x4)+(3x5)
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Definition
| Distributive Property of Multiplication over Addition |
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Term
| A symbol used to represent one or more numbers. |
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Definition
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Term
| The number used to replace a variable. |
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Definition
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Term
| A collection of numbers, variables, operations (+, -, x, /), and grouping symbols. |
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Definition
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Term
| Means to replace the variables in the algebraic expression with numbers. |
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Definition
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Term
| The resulting number you obtain as a result of evaluating the expression. |
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Definition
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Term
| The answer to an addition problem. |
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Definition
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Term
Constants, variables or a combination of both combined by multiplication and/or division.
6, x, 6x. |
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Definition
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Term
| The answer to a subtraction problem |
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Definition
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Term
| The answer to a multiplication problem |
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Definition
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Term
| The answer to a division problem |
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Definition
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Term
| The expression above the fraction bar |
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Definition
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Term
| The expression below the fraction bar |
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Definition
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Term
| Expressions raised to powers. |
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Definition
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Term
| Numbers which tell how many times to multiply the base times itself. |
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Definition
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Term
| A statement that 2 expressions are equal |
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Definition
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Term
| Determined by the power(s) applied to the variable(s) in each term. |
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Definition
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Term
| Equations that have the same solution set (answers). |
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Definition
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Term
| State the 4 Steps of the Order of Operations |
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Definition
1. Do the work inside the grouping symbols which are (), {}, [].
2. Do powers and roots, left to right.
3. Do multiplication and division, left to right.
4. Do addition and subtraction, left to right. |
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Term
| Name the 4 Step Process for Solving Linear Equations. |
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Definition
1. First, simplify each side by the order of operations.
2. Second, get your variable terms together on one side.
3. Third, isolate the variable term.
4. Fourth, solve for a positive one (+1) variable. |
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Term
| Name the 5 Step-Process of Problem Solving (General). |
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Definition
1. Write a variable model.
2. Assign Labels.
3. Write an algebraic model by merging labels into the variable model.
4. Solve the algebraic model.
5. Answer the Question. |
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Term
| Two math sentences joined by the word "and" |
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Definition
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Term
| Two math sentences joined by the word "or". |
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Definition
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Term
| Name the tree part definition of Absolute Value. |
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Definition
|x|= {x,if x is positive; x>0
0, if x =0
-x, if x is negative; x<0 |
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Term
What term includes:
-the axes are divided into 4 quadrants
-each point is named by the ordered pair (x,y) |
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Definition
| The Rectangular Coordinate System |
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Term
| Part of the Rectangular Coordinate System; divide the plane into 4 quadrants. |
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Definition
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Term
| Name the 3 model definitions of slope. |
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Definition
| (Change in Y/Change in X), (Rise/Run), (Vertical Change/Horizontal Change). |
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Term
| Name the definition of slope. |
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Definition
| The slant or steepness of a line. |
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Term
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Definition
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Term
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Definition
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Term
| What is the equation of the Slope-Intercept form? |
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Definition
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Term
| What is the equation of the point-slope form? |
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Definition
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Term
| An equation that relates 2 variables that have the same rate and ratio. |
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Definition
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Term
| What is the formula for Direct Variation? |
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Definition
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Term
| The distance a number is away from 0. |
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Definition
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Term
| A set of data points plotted on the rectangular coordinate system. |
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Definition
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Term
| A line that approximates the data points into a scatter plot. |
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Definition
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Term
| The variables x and y have ________ ___________ when the points in a scatter plot approximate a line with a positive slope. |
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Definition
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Term
The variables x and y have ________ ___________ when the points in a scatter plot approximate a line with a negative slope.
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Definition
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Term
The variables x and y have ___ ___________ when the points in a scatter plot DO NOT approximate a line with either positive or negative slope.
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Definition
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Term
A Function represented by a combo of equations, each corresponding to a part of the domain.
f(x)= {2x-1, if x<1
3x+1, if x>1 |
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Definition
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Term
| The solution set for 2 linear equations in 2 variable will be a _______ _______ when the graphs intersect. |
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Definition
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Term
The solution set for 2 linear equations in 2 variable will be ___ __________ when the graphs are parallel lines.
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Definition
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Term
The solution set for 2 linear equations in 2 variable will be ___________ ________ __________ when the graphs coincide.
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Definition
| Infinitely Many Solutions |
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Term
| What are the three ways you can solve linear systems algebraically? |
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Definition
- Graphing
- Linear Combinations
- Substitution
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Term
| The process of finding the minimum or maximum value of some quantity. |
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Definition
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Term
| The process of optimizing a linear objective function subject to a system of linear inequalities (constraints). |
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Definition
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Term
| Solutions to equations in 3 variables. |
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Definition
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Term
| A rectangular arrangement of numbers in rows and columns. |
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Definition
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Term
| A matrix with only one row. |
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Definition
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Term
| A matrix with only one column. |
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Definition
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Term
| A matrix that has the same number of rows as it does columns. |
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Definition
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Term
| A matrix whose entries are all zeros. |
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Definition
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Term
Matrix Addition is __________ and ___________.
1) (A+B)+C=A+(B+C)
2) A+B=B+A |
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Definition
| Commutative and Associative |
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Term
| Real numbers that are multiplied to matrices. |
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Definition
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Term
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Definition
| Scalar Multiplication of Matrix Multiplication |
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Term
| A Real Number that is associated with each square matrix. |
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Definition
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Term
| The determinant of a 2x2 matrix. |
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Definition
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Term
| A message written according to a secret code. |
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Definition
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Term
| The rule that uses determinants to express the solution of the linear system. |
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Definition
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