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TLC math 7th grade vocab ch. 1-5
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math vocab lists 1-5
Terms in this set (84)
variable
a letter that is used to represent one or more numbers
values
the number represented by variables
variable expressions
a collection of numbers, variables and operation
evaluating the expressions
to find the value of an expressioin by replacing each variable by a number
unit analysis
writing the units of each variable in a real life problem to help determine the units for the answer
verbal model
an expression that uses words to represent real life situations
power
the results of repeated multiplcations
exponent
the number or variable that represents the number of times the base is used as a factor
base
the number or variable that is used as a factor in repeated multiplication
grouping symbols
symbols suchs a () or [] that indicate the order of operations should be perormed
order of operation
the rules established to evaluate an expressions involving more than one operation
equation
a statement formed when an equal sign is placed between 2 expressions
open sentence
an equation that contains one or more variables
solution of an equation
number that, when substituted for the variable in an equation, results in a true statement
solving an equation
finding all solutions of an equations
inequality
a sentence formed when an inequality symbol is placed between 2 expressions
solution of an inequality
number that, when substituted for the variable in an inequality, results in a true statement
modeling
writing algebric expressions, equations, or inequalities that represent real ife situations
mathematical model
expressions, equations, or inequalities that represent real life situations
data
information, facts, or numbers used to describe something
bar graph
a graph that organizes a collection of data by using horizontal or vertical bar to display how many times each event can occur in a collection
line graph
a graph that uses line segments to connect data points. it is especially useful for showing changes in data
functions
a rule that establishes a relationship between 2 quantities called input and output for each input there is an output
Real number line
a line that pictures real number as points
Real numbers
set of number consisting of the positive, negative number, and zero.
Origin
the point labeled zero on a number line
Negative numbers
any of the numbers less than zero
Positive numbers
any of the number greater than zero
Integers
any of the numbers ...-3,-2,-1,0,1,2,3...
Graph of a number
the point that corresponds to a number
Plotting a point
drawing a point on a number line that corresponds to a number
Opposites
2 points on number lines that are the same distance from the origin but are on opposite sides of it
Absolute value
the distance between the origin and the point representing the real number. The symbol [a] represents the _______ of a
Velocity
the speed and direction in which an object is traveling (up is positive, down is negative). The speed of an object is the absolute value of its _____
Counter example
an example used to show that a given statement is false.
Matrix
a rectangular arrangement of numbers in to a horizontal rows and vertical columns.
Entry or element
each number in the matrix
Distributive Property
the product of "a "and (b + c):a(b+c)= ab +ac or (b+c)a =ba+ca
The product of "a" and (b-c) : a(b-c) =ab-ac or (b-c) a = ba-ca
Coefficient
a number multiplied by a variable in a term. The number is a ______ of the variable.
Like Terms
that have the same variable raise to the same power.
Constant terms
terms with no variable factors.
Simplify expression
an expression is _______it has no examples of grouping and if the all the like terms have been combined
Reciprocal
if a/b is a nonzero number, than its ____is b/a. The product of a number and its ______ is 1.
Terms of an expression
the parts that are added in an expression. For example, in the expression 5-x, the terms are 5, and -x.
Equivalent Equations
equations with the same solutions as the original equation
Inverse operations
Operations that undo each other, such addition and subtraction, multiplication and division
Solution step
The result of applying a transformation to an equation when solving an equation
Linear equation of one variable
in one variable-an equation in which the variable is raised to its first power and does not occur in a denominator, inside a square root symbol, or inside an absolute value sign.
Property of equality
the rules in algebra used to transform equation into an equivalent equation.
Ratio of A to B
the relationship a/b of 2 quantities A and B that are measured in the same unit
Similar triangles
- two triangles are _______ if they have equal corresponding angle. It could be shown that that this is equivalent to the ratio of the lengths of the corresponding of the side being equal.
Identity
an equation that is true for all values of the variables.
Round-off error
the error produced when a decimal result is rounded in order to provide a meaningful answer.
Formula
algebraic equation that relate 2 or more real life quantities
Rate of A per B
the relationship a/b of 2 quantities A and B are measured in different units.
Unit rate
a rate per one given unit
Function notation
a way to name a function that is define by an equation, for an equation for x and y the symbol f(x) replaces y and read as f of x
Slope
The number of units a non vertical line rises or falls for each unit of horizontal change from left to right.
Constant of variation
the ____________model. represented by the variable k
Slope intercept form
a linear equation written in the form y = mx+b
y axis
the vertical axis
x axis
the horizontal axis
Graph of a Function
the set of all points (x, f(x,)), where is x is in the domain
Coordinate plane
a plane formed by 2 real number line that intersect at a right angle
Ordered pair
a pair of numbers used to identify a point a plane
x coordinate
the first number is an ordered pair,
y coordinate
second number in a ordered pair.
Quadrant
1 of 4 parts in to which the axis divide a coordinate plane.
Graph of an ordered pair
the point that corresponds to its ordered pair
Scatter plot
a graph of pairs of number that represent real life situations the way to analyze relationship between 2 quantities.
x intercept
the x coordinate of a point where a graph crosses the x-axis
y intercept
the y coordinates of a point where a graph crosses the y axis.
Rate of Change
a comparison of two difference quantities that are changing. Slope provides and important way of visualizing a ___________
Direct variation
the relationship of two variable x and y if there is a non 0 number k such that y =kx, or y/x=k
Parallel line
2 different lines that do not insect and are in the same planes
Relation
any set of ordered pairs. (x,y)
Slope-intercept form
- a linear equation written in form y=mx+b. The slope of line is m. The y-intercept is b.
Best-fitting line
a line that fits the data points on a scatter plot
Positive Correlation
When the points on a scatter plot can be approximated by a line with a positive slope
Point-slope form
the equation when a non- vertical line y-yI=m (x-xI) that passes through the given points (xi,yI) with the slope of m
Standard form
a linear equation of the form ax+by=c where a,b,c are real numbers and a and b are not both zero
Linear interpolation
a method of estimating the coordinates of a point that lies between two given data points.
Linear extrapolation
a method of estimating the coordinates of a point that lies to the right or left or all of the given data points.
Negative Correlation
When the points on a scatter plot can be approximated by a line with a negative slope
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