Term
| What does it mean if something varies? |
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Definition
| Something changes, does not stay the same. |
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Term
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Definition
| A letter that holds the place of a number that can vary. |
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Term
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Definition
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Term
| What are the two types of expressions in math? |
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Definition
1) Nunmerical
2) Algebraic |
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Term
| What do you do with expressions? |
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Definition
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Term
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Definition
| To find the value of something. |
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Term
| What must you keep in mind when evaluating numberical expression? |
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Definition
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Term
| What is the order of operations? |
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Definition
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Term
| How do you evaluate an algebraic expression? |
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Definition
| Change it into a numerical expression, then evaluate. |
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Term
| How do you change an algebraic expression into a numerical expression? |
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Definition
| Write in a value for the variable. |
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Term
| What is the table of values? |
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Definition
| A table that lists numbers for the variable and the related values of the expression. |
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Term
| Df: SIMPLIFYING EXPRESSIONS |
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Definition
| Make expressions easier to understand. |
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Term
| Df: COMMUTATIVE PROPERTY OF ADDITION |
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Definition
| Changing the order of the numbers will not change the sum. |
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Term
| Df: ASSOCIATIVE PROPERTY OF ADDITION |
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Definition
| Changing the grouping of numbers will not change the sum. |
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Term
| What is the associative property used for? |
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Definition
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Term
| Df: ADDITION AND SUBTRACTION PROPERTIES OF ZERO |
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Definition
| Any number (+)/(-) 0 (=) itself |
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Term
| Df: COMMUTATIVE PROPERTY OF MULTIPLICATION |
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Definition
| Changing the order of the factors will not change the product. |
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Term
| Df: ASSOCIATIVE PROPERTY OF MULTIPLICATION |
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Definition
| Changing the grouping of the factors will not change the product. |
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Term
| Df: MULTIPLICATION AND DIVISION PROPERTIES OF ONE |
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Definition
| Any number (x)/(/) 1 (=) itself |
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Term
| Df: ZERO PROPERTY OF MULTIPLICATION |
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Definition
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Term
| Df: DISTRIBUTIVE PROPERTY |
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Definition
| Distributing a factor over an (+) or (-) problem will not change the product. |
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Term
| What are these properties used for? |
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Definition
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Term
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Definition
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Term
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Definition
| terms with the exact same variables raised to the same exponents. |
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Term
| Why do we combine like terms? |
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Definition
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Term
| When _________, the variable exponents act as _____ for the coefficient. |
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Definition
*Combining like terms
*labels |
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Term
| Df: EQUIVALENT EXPRESSIONS |
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Definition
| Expressions that have the same value. |
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Term
| When do we write equivalent expressions? |
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Definition
| Whenever we simplify expressions. |
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Term
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Definition
| A term whose value never changes. |
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Term
| Df: NUMERICAL COEFFICIENT |
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Definition
| A number that multiplies a letter. (Example 3 in 3x) |
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Term
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Definition
| A letter being multiplied by a coefficient. (x in the term 3x) |
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Term
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Definition
| A number sentence that uses an equal (=) sign. |
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Term
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Definition
| The value on each side is the same. |
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Term
| How do exspressions relate to equations? |
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Definition
| An equation consists of two expressions that have the same value. |
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Term
| What does this explain? (+) undoes (-), (-) undoes (+), (x) undoes (/), (/) undoes (x) |
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Definition
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Term
| What you do to one side of an equations ___________________ What is this referring to? |
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Definition
1) You must also do to the other side.
2) Properties of Equations |
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Term
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Definition
| The value of a letter that makes the statement true. |
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Term
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Definition
| Equations having the same roots. |
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Term
| What are the properties of equations used for? |
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Definition
| To write equivalent equations. |
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Term
| What are equivalent equations used for? |
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Definition
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Term
| Why do we solve equations? |
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Definition
| To find the value of the variable. |
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Term
| An open ________ is an ______ that contains one or more variables. |
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Definition
1) Number Sentence
2) Equation |
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Term
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Definition
| A set of intended values for a variable. |
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Term
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Definition
| The members of the replacement set which make the open sentence a true statement. |
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Term
| Numbers Systems that serve as replacememt sets include: |
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Definition
1) Natural/Counting Numbers
2) Whole Numbers
3) Integers
4) Rational numbers
5) Irrational numbers
6) Real Numbers |
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Term
| What are rational numbers? |
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Definition
| Any number that can be written as a ratio. |
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Term
| What are irrational numbers? |
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Definition
| Number that cannot be written as a ration. |
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Term
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Definition
| Include all number systems. |
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Term
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Definition
| A number sentence that uses an inequality sign. (>,<,=) |
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Term
| Properties of Inequalities are... |
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Definition
| When you multiply or divide each side of an inequality by a negative, the inequality sign reverses. |
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Term
| Properties of Inequalities are... |
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Definition
| When you multiply or divide each side of an inequality by a negative, the inequality sign reverses. |
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Term
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Definition
| The distance a value is from zero on the number line. |
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Term
| How many solutions does an absolute value equation have? |
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Definition
| Two possible solutions for the variable. |
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Term
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Definition
| Two numbers that are used to locate a point on the coordinate plane. |
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Term
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Definition
| The set of numbers that make up a coordinate. |
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Term
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Definition
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Term
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Definition
| The set of x-values in the relation. |
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Term
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Definition
| The set of y-values in the relation. |
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Term
| A ____ is a relationship between an action (x) and a reaction (y). |
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Definition
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Term
| To be a function no action can... |
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Definition
| result in two different reactions. |
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Term
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Definition
| A relation where no two ordered pairs have the same x-values. |
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Term
| Each number in the range of a function is called a... |
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Definition
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Term
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Definition
| A way of naming functions. |
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Term
| In f(x), g(x), h(x) the name of each function is... |
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Definition
| Function F. Function G. Function H. |
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Term
| If the graphy of a line is rising from left to right the line in the graph is... |
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Definition
| a positive, increasing function. |
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Term
| If the graphy of a line is falling from left to right the line in the graph is... |
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Definition
| a negative, decreasing function. |
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Term
| When an equation is written in two variables, what does the solution set look like? |
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Definition
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Term
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Definition
| A function that is a straight line when graphed. |
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Term
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Definition
| The ration of the rise to the run of a line. (rise/run) |
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Term
| What does the rise of a graph represent? |
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Definition
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Term
| What does the run of a graph represent? |
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Definition
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Term
| How do you calculate the slope of a line? |
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Definition
| Slope (m) is calcuated by finding the change in the y-values of the change in the x-values. |
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Term
| What is the equation of a line in slope-intercept form? |
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Definition
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Term
| What does the b indicate in the slope-intercept equation? |
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Definition
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Term
| What does the m indicate in the slope-intercept equation? |
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Definition
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Term
| How can you tell if two lines are parallel? |
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Definition
| They will have the same slope. |
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Term
| How can you tell if two lines are perpendicular? |
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Definition
| Their slopes will be opposites and reciprocals of each other. |
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Term
| What is the slope of a horizontal line? |
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Definition
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Term
| What is the slope of a vertical line? |
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Definition
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Term
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Definition
| Two or more equations that relate to each other in some way. |
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Term
| What is the solution to a system of equations? |
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Definition
| An ordered pair that both euqation have in common. |
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Term
| What methods can be used to find the solution to a system of equations? |
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Definition
| The solution can be found using either the graphing, substitution, or addition methods. |
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Term
| If the lines do not interesect what is the solution to the system? |
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Definition
| TRICK QUESTION! There is no solution to the system. |
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Term
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Definition
| A function whose equation is of the form y = kx |
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Term
| How can you determine if a relation is a direct variation? |
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Definition
| If y divided by x equals the same constant, then y varies directly as x. |
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Term
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Definition
| A function whose equation is of the form xy = k |
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Term
| How can you determine if a relation is an inverse variation? |
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Definition
| If x times y equals the same constant, then y varies inversely as x. |
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Term
| In inverse variation, as the x value increases, the y value ______. |
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Definition
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Term
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Definition
| An expression with many terms. |
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