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Definitions for 7th grade math

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
acute angle   an angle that measures less than 90°  
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acute triangle   a triangle with three acute angles  
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addend   a number added to one or more other numbers  
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algebraic expression   an expression containing a variable Example: 2(x-9)  
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angle   two rays with a common endpoint  
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area   the number of square units needed to cover a figure  
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arithmetic sequence   a sequence where the difference between consecutive terms is always the same. Example: 3, 6, 9, ...  
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associative property   the fact that grouping does not affect the product or sum  
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base (in numeration)   a number multiplied by itself the number of times shown by an exponent. Example: 5² = 5⠂5  
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base (in polygon)   any side of the polygon, or the length of that side  
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bisect   to divide an angle or segment into two congruent angles or segments  
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box-and-whisker plot   a graph showing how a collection of data is distributed  
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capacity   the volume of a figure, given in terms of liquid measure  
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center   the point at the exact middle of a circle or sphere  
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circle   a plane figure whose points are all the same distance from its center  
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circle graph   a circular graph that uses wedges to represent portions of the data set  
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circumference   the perimeter of a circle  
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combination   a selection of items where the order does not matter  
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common denominator   a denominator that is the same in two or more fractions  
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common factor   if a number is a factor of two or more numbers, it is a common factor of that set of numbers  
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common multiple   a number that is a multiple of each of two given numbers. Example: 24 is a common multiple of 4 and 3  
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commutative property   the fact that ordering does not affect the sum or product of two or more numbers  
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complementary angles   two angles whose measures add up to 90°  
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composite number   a solid with one circular base  
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cone   a solid with one circular base  
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congruent angles   two angles that have equal measures  
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congruent segments   two segments that have equal lengths  
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constant   a quantity whose value cannot change  
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coordinates   a pair of numbers used to locate a point on a coordinate plane  
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corresponding angles   angles formed by two lines and a transversal.  
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corresponding angles (in similar figures)   matching angles on similar figures  
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cross product   in a proportion, the product of a numerator on one side with the denominator on the other  
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cube (geometric figure)   a 6-sided prism whose faces are congruent squares  
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cube (in numeration)   a number raised to the third power Example: 5³ = 5˙5˙5  
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cylinder   a solid with two parallel circular bases with the same radius  
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decagon   a polygon with 10 sides  
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degree (°)   a unit of measure for angles  
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denominator   the bottom number in a fraction  
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diameter   the distance across a circle through its center  
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difference   the answer to a subtraction problem  
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distributive property   the fact that a(b+c) = ab+ac  
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dividend   the number to be divided in a division problem. In 8/4=2, 8 is the dividend, is the divisor, and 2 is the quotient  
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equally-likely outcomes   outcomes that have the same probability  
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equation   a mathematical statement that two expressions are equal Example: x-10=6  
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equilateral triangle   a triangle whose sides are all the same length  
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equivalent fractions   two fractions representing the same number, such as 1/2 = 2/4.  
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equivalent ratios   ratios corresponding to equivalent fractions  
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exponent   a number telling how many times the base is being used as a factor Example: 8³ = 8˙8˙8, where 3 is the exponent and 8 is the base  
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expression   a mathematical phrase made up of variables and/or numbers and operations Example: 3x-11  
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factor   a whole number that divides another whole number evenly  
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fraction   a number in the form ¾  
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function   a rule that matches two sets of numbers  
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greatest common factor (GCF)   the largest factor two numbers have in common Example: 6 is the GCF of 24 and 18  
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height   on a triangle or quadrilateral, the distance from the base to the opposite vertex or side on a prism or cylinder, the distance between the bases  
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hexagon   a six-sided polygon  
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hypotenuse   the side opposite the right angle in a right triangle  
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improper fraction   a fraction greater that 1  
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integer   a whole number, its opposite, or zero  
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interval   the space between marked values on a bar graph's scale  
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inverse operation   operations that "undo" each other, such as addition and subtraction  
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isosceles triangle   a triangle with at least two congruent sides  
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least common multiple (LCM)   the smalles common multiple of two numbers Example: 56 is the LCM of 8 and 14  
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line   a straight set of points that extends without end in both direction  
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line graph   a graph that uses a line to show how data changes over time  
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line of symmetry   the imaginary "mirror" in line symmetry  
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line segment   two points, called the ENDPOINTS of the segment, and all points between them  
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lowest terms   a fraction with a numerator and denominator whose only common factor is 1  
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mean   the sum of the values in a data set divided by the number of values (also known as the AVERAGE)  
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median   The middle value in a data set when the values are arranged in order  
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midpoint   the point that divides a segment into two congruent smaller segments  
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mode   the value(s) that occur most often in a data set  
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multiple   the product of a given number and another whole number Example: since 3⠂7 = 21, 21 is a multiple of both 3 and 7  
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negative numbers   numbers that are less than zero  
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numerator   the top number in a fraction  
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obtuse angle   an angle that measures more than 90° and less that 180°  
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octagon   an eight-sided polygon  
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odds   the ratio of the number of ways an event can happen to the number of ways it cannot  
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ordered pair   a pair of numbers, such as (12, -8), used to locate points on a coordinate plane  
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order of operations   a rule telling in what order a series of operations should be done. The order of operations is (1) compute withing grouping symbols; (2) compute powers; (3) multiply and divide from left to right; (4) add and subtract from left to right  
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outcome (in probability)   one way an experiment or situation could turn out  
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parallel lines   lines in a plane that never meet  
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parallelogram   a quadrilateral with parallel and congruent opposite sides  
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pentagon   a five-sided polygon  
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percent   a ratio compare a number to 100 Example: 29% = 29/100  
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perimeter   the distance around  
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permutation   one of the ways to order a set of items  
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perpendicular   lines, rays, or line segments that intersect at right angles  
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perpendicular bisector   a line, ray, or line segment that intersects a segment at its midpoint and is perpendicular to it  
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pi (π)   the ratio of a circle's circumference to its diameter: π = 3.14159265  
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place value   the value given to the place a digit occupies  
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plane   a flat surface that extends forever  
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point symmetry   a figure has point symmetry if it looks unchanged after a 180° rotation  
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polygon   a geometric figure with at least three sides  
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polyhedron   a solid whose faces are polygons  
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positive numbers   numbers greater than zero  
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power   a number produced by raising a base to anm exponent Example: 16 = 2⁴ , so 16 is the 4th  
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prime factorization   writing a number as a product of prime numbers Example: 60 = 2²⠂3⠂5  
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prime number   a whole number greater than 1 whose only factors are 1 and itself  
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prism   a polyhedron whose bases are congruent and parallel  
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probability   the number of ways an event can occur divided by the total number of possible outcomes  
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product   the answer to a multiplication problem  
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proportion   a statement showing two ratios are equal  
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protractor   a tool for measuring angles  
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pyramid   a polyhedron with one polygonal base  
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Pythagorean Theorem   in a right triangle where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs, a²+b²=c²  
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quadrants   the four regions determined by the axes of a coordinate plane  
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quadrilateral   a four-sided polygon  
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quotient   the answer to a division equation  
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radius   the distance from the center of a circle to a point on the circle  
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pyramid   a polyhedron with on polygonal base  
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range (in statistics)   the difference between the least and greatest numbers in a data set  
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rate   a ratio showing how quantities with different units are related  
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ratio   a comparison of two quantities, often written as a fraction  
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ray   part of a line that has one endpoint and extends forever  
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reciprocals   Two numbers whose product is 1 Example: 5/7 and 7/5 are reciprocals  
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rectangle   a quadrilateral with four right angles  
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reflection   a transformation that flips a figure over a line  
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regular polygon   a polygon with all sides and angles congruent  
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rhombus   a parallelogram with all sides congruent  
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right angle   an angle that measures 90°  
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right triangle   a triangle with one right angle  
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rotation   a transformation that turns a figure around a point  
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rounding   estimating a number to a given place value  
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scale factor   the ratio used to enlarge or reduce similar figures  
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scalene triangle   a triangle whose sides have different lengths  
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scatterplot   a graph showing paired data values as points  
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scientific notation   a number written as a decimal greater than or equal to 1 and less than 10 Example: 937 = 9.37 x 10²  
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sector   a wedge-shaped part of a circle  
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sequence   a list of numbers, such as -1, 4, 9, 14, ...  
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similar figures   figures with the same shape but not necessarily the same size  
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simulation (in probability)   a model of a probability experiment  
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solid   a three-dimensional object  
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solutions of an equation or inequality   values of a variable that make an equation or inequality true  
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solve   to find the solutions of an equation or inequality  
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sphere   a solid whose points are all the same distance from the center  
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square (geometric figure)   a quadrilateral with four congruent sides and four right angles  
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square (in numeration)   a number raised to the second power  
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square root   the length of the side of a square with an area equal to a given number  
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standard form   the usual way of writing number (in contrast to scientific notation)  
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stem-and-leaf diagram   a table showing the distribution of values in a data set by splitting each value into a stem and a leaf  
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straight angle   an angle that measure 180°  
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substitute   to replace a variable with a known value  
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sum   the answer to an addition problem  
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supplementary angles   two angles whose measures add up to 180°  
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surface area   for a solid, the sum of the areas of its surfaces  
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symmetry   the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts.  
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tangent line   a line that touches a circle at only one point  
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tangent ratio   in a right triangle, the tangent of an angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to it  
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term   one number in a sequence  
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terminating decimal   a decimal number that ends Example: 2.31  
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tessellation   a set of repeating figures that fills a flat surface with no gaps or overlaps  
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theoretical probability   the ratio of the number of ways an event can happen to the total number of possible outcomes  
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transformation   a transformation that slides a figure  
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transversal   a line intersecting two or more lines  
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trapezoid   a quadrilateral with exactly two parallel sides  
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tree diagram   a branching diagram showing all possible outcomes for a given situation  
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trend   a clear direction in a line graph suggesting how the data will behave in the future  
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trend line   a line drawn through a set of data points to show a trend in the data values  
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triangle   a three-sided polygon  
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unit price   a unit rate giving the cost of one item  
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variable   a quantity whose values may vary  
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Venn diagram   a diagram that uses regions to show relationships  
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vertex   on an angle, the endpoint of the rays forming the angle. On a polygon, a corner where two sides meet. On a polyhedron, a corner where edges meet  
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vertical angles   angles on opposite sides of the intersection of two lines  
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volume   the amount of space taken up by a solid (LxWxH)  
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whole number   a number in the set  
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x-axis   the horizontal line in an x-y coordinate system  
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x-coordinate   the first number in an ordered pair  
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x-y coordinate plane   a coordinate system for locating points based on two number lines, the x- and y-axes  
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y-axis   the vertical line in an x-y coordinate system  
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y-coodinate   the second number in an ordered pair  
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zero pair   a number and its opposite Example: 23 and (-23)  
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