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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
How can a linear relationship be represented?   It can be represented by the equation y= mx + b.  
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What are y and x in the equation?   They are variables.  
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What are m and b in the equation?   In the equation they are constants  
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What happens or is produced when x and y values from a linear relationship are plotted on a graph?   When and y values from a linear relationship are plotted on a graph, a straight line is produced.  
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What does the term linear refer to?   The term "linear" refers to anything having to do with a straight line.  
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Where do linear relationships get their names?   they get their name from the fact that they are plotted on a graph, they appear on a straight line.  
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What goes through the origin when a proportional linear relationship is plotted on a graph?   When a proportional linear relationship are plotted on a graph, the line goes through the origin, (0,0)  
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when b is not equal to 0 is the relationship between y and x proportional?   No it is non-proportional  
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In a non-proportional linear relationship, is the equation linear?   In a non-proportional liner relationship, the equation is linear.  
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Are x and y proportional?   No they are not proportional  
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What is an example?   When x is doubled y is also doubled  
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What does the word "percent" come from?   The Latin phrase "per centum" meaning by the "hundred"  
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What is the numerator?   Numerator is the top number of a ratio.  
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What is a denominator?   A the denominator is the bottom number.  
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What happens if the denominator is 100   If the denominator is 100, then the numerator is a percent.  
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What are proportions used to solve?   A variety of problems in real-life situations.  
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What is a rate?   A ratio in which the numerator and the denominator are different units.  
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What is an example of a rate?   An example of a rate is speed, in which the numerator is the distance traveled, and the denominator is the time taken to travel that distance.  
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What is the definition of percent?   percent means per 100. A value of n% is the same as the fraction n/100  
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When presenting numeric information what is more informative than a verbal description?   A diagram, graph or table  
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Diagrams or graphs can illustrate what?   Relationships that are not obvious from a verbal description.  
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In the problem that show tables, charts or graphs you may not need what?   You may not need all the information given.  
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Algebraic equations, graphs and tables can be used to make what?   They can be used to make predictions and to solve problems.  
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Examples include what?   Estimating the amount of time necessary to finish a project or reach a goal, and predicting information such as productivity, costs or the timing of a future event.  
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What is determined when looking at data to predict future values?   When looking at data to predict future values, determine the rate of change.  
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What happens then?   Then apply the rate of change to the amount of time you are looking ahead.  
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What is a sequence?   A set of numbers that follow a pattern.  
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What is an arithmetic sequence?   A sequence of numbers in which each term after the frist is the result of adding a fixed number called the common difference to the previous term.  
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What is a dilation?   A dilation is a transformation that enlarges or reduces a figure to make a similar image  
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What is an enlargement?   An enlargement makes a new image that is larger that the original figure.  
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What is a reduction?   A reduction makes a new image that is smaller than the original figure.  
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What is a scale factor?   The ratio of the dimensions of the new image to those of the original figure.  
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What is done to find the coordinates of an image on a coordinate plane after a dilation?   Multiply the coordinates of the original figure by the scale factor.  
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A enlargement is a dilation in which the scale factor is what?   greater than 1  
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A reduction is a dilation in which the scale factor is what?   less than 1.  
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What is a transformation?   A change in position, size or shape of figure  
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What is a translation?   transformation in which each part of the figure is moved to the same distance and direction  
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What is a reflection?   A transformation that flips the figure over a line of reflection.  
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When a figure is reflected, the vertices of the original figure and the new figure are what?   the same distance.  
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