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The distance of a number from zero; the positive value of a number. |
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A positive angle measuring less than 90 degrees. |
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A triangle each of whose angles measures less than 90 degrees. |
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The number zero is called the additive identity because the sum of zero and any number is that number. |
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The additive inverse of any number x is the number that gives zero when added to x. The additive inverse of 5 is -5. |
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Two angles that share both a side and a vertex.
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The union of two rays with a common endpoint, called the vertex. |
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A portion of the circumference of a circle. |
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The number of square units that covers a shape or figure. |
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associative property of addition |
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(a + b) + c = a + (b + c) |
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associative property of multiplication |
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(a x b) x c = a x (b x c) |
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A number that represents the characteristics of a data set. |
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A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line. |
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The bottom of a plane figure or three-dimensional figure. |
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To divide into two congruent parts. |
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A type of data plot that displays the quartiles and range of a data set.
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A system in which points on a plane are identified by an ordered pair of numbers, representing the distances to two or three perpendicular axes. |
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An angle that has its vertex at the center of a circle. |
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A line segment that connects two points on a curve. |
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The set of points in a plane that are a fixed distance from a given point, called the center. |
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The distance around a circle. |
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A constant that multiplies a variable. |
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Points are collinear if they lie on the same line. |
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A selection in which order is not important. |
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A factor of two or more numbers. |
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A multiple of two or more numbers. |
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commutative property of addition |
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commutative property of multiplication
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Two angles whose sum is 90 degrees.
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A natural number that is not prime. |
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A three-dimensional figure with one vertex and a circular base. |
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Figures or angles that have the same size and shape. |
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A value that does not change. |
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The plane determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the coordinate plane can be specified by an ordered pair of numbers. |
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Points that lie within the same plane. |
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The natural numbers, or the numbers used to count. |
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If a first event has n outcomes and a second event has m outcomes, then the first event followed by the second event has n times m outcomes. |
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A product found by multiplying the numerator of one fraction by the denominator of another fraction and the denominator of the first fraction by the numerator of the second. |
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A solid figure with six square faces. |
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A three-dimensional figure having two parallel bases that are congruent circles. |
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Information that is gathered
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The numbers in the base 10 number systems, having one or more places to the right of a decimal. |
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A unit of measure of an angle
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The bottom part of a fraction. |
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Two events in which the outcome of the second is influenced by the outcome of the first. |
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The line segment connecting two nonadjacent vertices in a polygon. |
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The line segment joining two points on a circle and passing through the center of the circle. |
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The result of subtracting two numbers. |
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The ten symbols, 0,1,2,3,4,5,6,7,8, and 9. The number 215 has three digits: 2,1,5. |
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In a / b= c, a is the dividend. |
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In a / b = c, b is the divisor. |
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A plane which is formed by two real number lines that intersect at a right angle. |
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A pair of numbers used to identify a point in a plane |
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One of 4 parts into which the axes divide a coordinate plane. |
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If an ordered pair is in the first quadrant, what are the signs of x and y? |
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If an ordered pair is in the second quadrant, what are the signs of x and y? |
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x is negative and y is positive |
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A graph of pairs of numbers that represent real-life situations as a method to analyze the relationship between two quantities. |
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What are three relationships you can determine from a scatter plot? |
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positive, negative, no linear relationship |
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If there is a positive relationship in a scatter plot and the x values are increasing, what can you determine about the y values? |
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What is all of the solution of the following equation:
y = 3x + 6 |
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a line of slope 3 and y-intercept 6 |
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Why is the solution of any equation in the form y = mx + b a line? |
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There are infinite number of solutions. However, for every x value there is one y value that is a solution. This relationship creates a line. |
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Name 4 methods of graphing a line. |
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1. Calculator
2. Pick 3 x values and find matching y values
3. Graph b and use m to find more points
4. Find the x-intercept and y-intercept |
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If you are using m and b to graph a line, how do you use m to find more points. |
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Go to b on the graph go right by the denominator and up or down by the numinerator. |
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How do you find the x-intercept? |
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Make y = 0, and find solve for x. |
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How do you find the y-intercept? |
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1. put equation in y= form and b is y-intercept
2. make x = 0 and solve for y |
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The number of units a nonvertical line rises or falls for each unit of horizontal change from left to right. |
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Why is slope often defined as rise/run? |
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Because to find the slope you find the change in the vertical value (rise) divided by the change in the horizontal value (run) |
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What is the formula for the slope? |
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What is the slope of a line that is vertical? |
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Describe a line with a positive slope. |
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Describe a line with a negative slope. |
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line falls from left to right |
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Describe the line with the equation y = 4 |
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it is a horizontal line with zero slope through the point 4 |
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Describe the line with the equation x = -2 |
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It is a vertical line with an undefined slope through the point -2 |
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How can you solve a one variable equation with a graph? |
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graph it as if y = the equation and find the x-intercept |
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What do you need to write an equation of a line in y=mx+b form? |
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If you know the slope and one point on the line, how can you find b? |
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Replace m in the equation y = mx + b and use the point in x and y temporily to find b. |
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How can you determine if two lines are parallel? |
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How can you determine if two lines are perpendicular? |
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If you multiple their slope it equals -1.
or the slope are opposite recipricals of each other |
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Name an equation of a line that is perpendicular to x = 3 |
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