Chapters 1-7
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| absolute deviation | the absolute value of the difference of x and a given value
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| absolute value equation | an equation containing an absolute value expression
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| algebraic expression | an expression with at least one variable
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| base | the factor being multiplied in a power
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| best-fitting line | a line that corresponds to a trend in a graphed data set
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| causation | when a strong correlation does not imply cause and effect between paired variables
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| compound inequality | 2 inequalities connected by and or or
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| compound interest | interest earned on an initial investment and previously earned interest modeled by I=PRT
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| consistent dependent system | a linear system with infinity solutions (same line)
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| consistent independent system | a linear system with exactly 1 solution because they are distinct intersecting lines
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| constant | a number
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| constant of variation | the constant k in the direct variation equation, a non-zero constant
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| converse | the statement formed by exchanging the hypothesis and conclusion of a conditional statement- is not necessarily true
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| cross product | finding this is the first step in the preferred method for solving an equation with a ratio equal to a ratio
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| decay factor | 1 - the decay rate is this; this is what decreases exponentially
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| decay rate | r in the exponential decay model; a percent of decreased (which is then subtracted from 1 to make the decay factor)
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| dependent variable | output
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| direct variation | the relationship of 2 variables x and y if there is a nonzero number k such that y=kx (also called directly proportional)
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| domain | the set of x's in a function
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| elimination/combination | linear ______-an equation obtained by adding one equation in a 19 across to another equation in a 19 across- also, one of our methods for solving systems
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| equivalent equations | equations with the same solution, or value
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| equivalent inequalities | two inequalities with the same solutions
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| exponent | represents the number of times the base is multiplied
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| exponential decay | an exponential function when a>0 and 0<b<1, and it decreases exponentially over a time period
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| exponential function | a function in the form y=ab^x that is nonlinear; a does not equal 0, b > 0, and b does not equal 1
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| exponential growth | this is an exponential function where a>0 and b>1, and it increases exponentially over a time period
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| extrapolation | using a line or equation to approximate a value OUTSIDE the range of known values
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| family of functions | functions with graphs with common characterisitics- if in family are transformations of the parent
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| formula | literal equation showing a rule for a certain relation
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| function | a relationship in which each X or input has one corresponding Y or output
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| function notation | a way to define or name a relationship in which each x has exactly one corresponding y: f(x)=y
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| graph of a system of linear inequalities | a graph showing all solutions in the system
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| graph of an inequality | a set of points which represent all solutions of an inequality on a number line
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| graph of an inequality in 2 variables | a set of points which represent all solutions of an inequality on a coordinate plane
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| growth factor | one plus the growth rate is this; this is what grows exponentially
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| growth rate | r in the exponential growth model; a percent of increase (which is then added to 1 to make the growth factor)
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| half-plane | in a coordinate plane, the region of each side of a boundary line
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| identity | an equation that IS true for all values of the variable
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| inconsistent system | a linear system that has no solution (parallel lines)
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| independent variable | input
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| interpolation | using a line or equation to approximate a value BETWEEN two known values
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| inverse operations | two operations that undo each other
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| irrational number | a number that cannot be written as a quotient of two integers that is a non-terminating, non-repeating decimal
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| line of fit | a line used to model the trend in data on a scatter plot
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| linear equation | an equation whose graph is a line
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| linear function | a function you can write as y=mx+b and its graph is a line
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| linear inequality in 2 variables | an equation that can be written as y is less than, greater than, less than or equal to, greater than or equal to, or not equal to mx+b
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| linear regression | the statistical process of finding the best-fitting line to model a data set
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| literal equation | an equation in which the coefficients and constants have been replaced by letters
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| negative correlation | a correlation where y tends to decrease as x increases
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| negative exponent | when a base is raised to a negative power, it is equivalent to the reciprocal (a^-n = 1/a^n) when the base isn't zero
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| open sentence | an equation or inequality containing an algebraic expression
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| order of magnitude | this is the power of ten nearest to a given quantity often used to estimate or roughly calculate
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| order of operations | the established procedure for evaluating expressions with more than one operation
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| parallel | two lines are this if their ratios of rise to run are equivalent
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| parent linear function | the original and simplest line in the family of linear functions
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| perfect square | a number multiplied by itself- one of the numbers 1, 4, 9, 16, 25 ...
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| perpendicular | two lines are this if their ratios of rise to run are opposite reciprocals
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| point-slope form | y-y1 = m(x-x1) where point is (x1, y1) and slope is m
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| positive correlation | a correlation where y tends to increase as x increases
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| power | an expression that represents repeated multiplication of the same factor
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| precision | how much detail an instrument or tool is capable of measuring
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| proportion | an equation in which a fraction is set equal to a fraction
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| quadrant | one of the four regions of the coordinate plane (divided by axes)
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| radicand | number underneath radical symbol, or sign showing the square root of the number underneath it; the thing you're finding the square root of
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| range | the set of y's in a function
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| rate | ratio comparing two amounts with different units
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| rate of change | a comparison of 2 different quantities that are changing; a ratio to compare the dependent variable change to the independent variable change
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| ratio | a description of a relationship between two quantities
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| real numbers | one of the set of numbers that includes those that can be written as a fraction and those that cannot be written as a fraction
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| relation | any collection of ordered pairs (x,y)
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| relatively no correlation | when x and y points on a scatter plot have no apparent relationship
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| scale | the ratio of the length in a drawing to the actual object's length
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| scale drawing | a drawing using a scale to make a smaller or larger representation of an original object
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| scale model | a 3D model using a scale to make a smaller or larger representation of an original object
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| scatter plot | a graph of pairs of numbers (x,y) that represent real life quantities
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| slope | ratio of rise to run- the number of units a nonvertical line rises compared to the number of units it runs (slantiness of a line)
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| slope-intercept form | y=mx+b, a line m=slope and b=y int
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| solution of a system of linear equations | an ordered pair that works in each/ALL equation(s) in the system
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| solution of a system of linear inequalities | an ordered pair that works in each inequality in the system
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| solution of an inequality in 2 variables | an x and y ordered pair that produces a true statement when substituted into an inequality
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| square root | when you multiply a number by itself once to get a product, the number is the ___________ of that product
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| standard form | Ax+By=C
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| substitution | linear ______- one of our methods for solving systems where one equation set equal to a variable is substituted into the other equation
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| system of linear equations | a system or set of equations which are all linear in the same variables
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| system of linear inequalities | two or more inequalities with the same variables (like a set)
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| unit rate | a comparison of two quantities with a denominator of one
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| variable | a letter used to represent one or more numbers or a changing quantity
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| verbal model | using words, labels, and math symbols to describe a real life situation
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| x-intercept | where a line intersects the x-axis on the graph
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| y-intercept | where a line crosses the y-axis on the graph
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| zero exponent | when a base is raised to the zero power, the answer is always 1 (when the base isn't zero)
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| zero of a function | for the function f, any value x so that f(x) = 0
so, it is an x-intercept of the function's graph #
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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