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Mathematics Part 2
Math
| Question | Answer |
|---|---|
| How can a linear relationship be represented? | It can be represented by the equation y= mx + b. |
| What are y and x in the equation? | They are variables. |
| What are m and b in the equation? | In the equation they are constants |
| 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. |
| What does the term linear refer to? | The term "linear" refers to anything having to do with a straight line. |
| 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. |
| 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) |
| when b is not equal to 0 is the relationship between y and x proportional? | No it is non-proportional |
| In a non-proportional linear relationship, is the equation linear? | In a non-proportional liner relationship, the equation is linear. |
| Are x and y proportional? | No they are not proportional |
| What is an example? | When x is doubled y is also doubled |
| What does the word "percent" come from? | The Latin phrase "per centum" meaning by the "hundred" |
| What is the numerator? | Numerator is the top number of a ratio. |
| What is a denominator? | A the denominator is the bottom number. |
| What happens if the denominator is 100 | If the denominator is 100, then the numerator is a percent. |
| What are proportions used to solve? | A variety of problems in real-life situations. |
| What is a rate? | A ratio in which the numerator and the denominator are different units. |
| 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. |
| What is the definition of percent? | percent means per 100. A value of n% is the same as the fraction n/100 |
| When presenting numeric information what is more informative than a verbal description? | A diagram, graph or table |
| Diagrams or graphs can illustrate what? | Relationships that are not obvious from a verbal description. |
| In the problem that show tables, charts or graphs you may not need what? | You may not need all the information given. |
| Algebraic equations, graphs and tables can be used to make what? | They can be used to make predictions and to solve problems. |
| 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. |
| What is determined when looking at data to predict future values? | When looking at data to predict future values, determine the rate of change. |
| What happens then? | Then apply the rate of change to the amount of time you are looking ahead. |
| What is a sequence? | A set of numbers that follow a pattern. |
| 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. |
| What is a dilation? | A dilation is a transformation that enlarges or reduces a figure to make a similar image |
| What is an enlargement? | An enlargement makes a new image that is larger that the original figure. |
| What is a reduction? | A reduction makes a new image that is smaller than the original figure. |
| What is a scale factor? | The ratio of the dimensions of the new image to those of the original figure. |
| 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. |
| A enlargement is a dilation in which the scale factor is what? | greater than 1 |
| A reduction is a dilation in which the scale factor is what? | less than 1. |
| What is a transformation? | A change in position, size or shape of figure |
| What is a translation? | transformation in which each part of the figure is moved to the same distance and direction |
| What is a reflection? | A transformation that flips the figure over a line of reflection. |
| When a figure is reflected, the vertices of the original figure and the new figure are what? | the same distance. |
Created by:
iluvaction
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