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Showing posts from February, 2023

Linear Functions – What You Need to Know

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Linear functions is one of the most frequently tested subtopics on the SAT/ACT, and students continually employ these basic functions as they progress through more and more rigorous math courses. Indeed, there’s nothing more important to master in high school mathematics than linear models and methods. But which ideas should students fluently understand and keep in mind to score well on the SAT/ACT? Here’s the list. - Definition Linear Functions: functions involving two first-degree variables (typically y^1 and x^1). Vertical line equations x = #.  For example: x = 4 graphs as a vertical line through 4 on the x axis. Horizontal line equations y = #.  For example: y = -4/5 graphs as a horizontal line through -4/5 on the y axis. Oblique lines Linear equation standard form: Ax+By = C, slope = -A/B.  For example: 3x – 4y = 12, slope = -(3/-4) = 3/4. Slope-intercept form: y = mx + b, slope = m = "rise/run," y-intercept = b.  For example: y = -x, slope = -1 = -1/1, y-inter...

Linear Functions – What You Need to Know

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Linear functions is one of the most frequently tested subtopics on the SAT/ACT, and students continually employ these basic functions as they progress through more and more rigorous math courses. Indeed, there’s nothing more important to master in high school mathematics than linear models and methods. But which ideas should students fluently understand and keep in mind to score well on the SAT/ACT? Here’s the list. - Definition Linear Functions: functions involving two first-degree variables (typically y^1 and x^1). Vertical line equations x = #.  For example: x = 4 graphs as a vertical line through 4 on the x axis. Horizontal line equations y = #.  For example: y = -4/5 graphs as a horizontal line through -4/5 on the y axis. Oblique lines Linear equation standard form: Ax+By = C, slope = -A/B.  For example: 3x – 4y = 12, slope = -(3/-4) = 3/4. Slope-intercept form: y = mx + b, slope = m = "rise/run," y-intercept = b.  For example: y = -x, slope = -1 = -1/1, y-inter...

Linear Functions – What You Need to Know

Image
Linear functions is one of the most frequently tested subtopics on the SAT/ACT, and students continually employ these basic functions as they progress through more and more rigorous math courses. Indeed, there’s nothing more important to master in high school mathematics than linear models and methods. But which ideas should students fluently understand and keep in mind to score well on the SAT/ACT? Here’s the list. - Definition Linear Functions: functions involving two first-degree variables (typically y^1 and x^1). Vertical line equations x = #.  For example: x = 4 graphs as a vertical line through 4 on the x axis. Horizontal line equations y = #.  For example: y = -4/5 graphs as a horizontal line through -4/5 on the y axis. Oblique lines Linear equation standard form: Ax+By = C, slope = -A/B.  For example: 3x – 4y = 12, slope = -(3/-4) = 3/4. Slope-intercept form: y = mx + b, slope = m = "rise/run," y-intercept = b.  For example: y = -x, slope = -1 = -1/1, y-inter...

Call the Capitol Switchboard!

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It's hard to not be cynical about politics, today.  Citizenship, however, isn't politics.  Rather, citizenship is responsibility we all share. Citizen participation is a requirement in a functioning democracy, a duty we can each discharge in multiple ways. One of the simplest is to call the Capitol Switchboard on a regular basis to leave messages for your congressional and senatorial representatives. Here's the phone number: (202) 224-3121. I recommend storing the number in your phone, so that when you have a few minutes you can make that time count by calling the Switchboard and leaving a message or two. A great time to do this is during the morning/evening commute, while waiting in line somewhere, or everyday just after breakfast (to make it a habit). "The problem with democracy is that people get the government they deserve." Do we Americans still deserve a strong, healthy democracy? Time will tell. It’s easy to feel there’s nothing one can do. Which only furth...

Call the Capitol Switchboard!

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It's hard to not be cynical about politics, today.  Citizenship, however, isn't politics.  Rather, citizenship is responsibility we all share. Citizen participation is a requirement in a functioning democracy, a duty we can each discharge in multiple ways. One of the simplest is to call the Capitol Switchboard on a regular basis to leave messages for your congressional and senatorial representatives. Here's the phone number: (202) 224-3121. I recommend storing the number in your phone, so that when you have a few minutes you can make that time count by calling the Switchboard and leaving a message or two. A great time to do this is during the morning/evening commute, while waiting in line somewhere, or everyday just after breakfast (to make it a habit). "The problem with democracy is that people get the government they deserve." Do we Americans still deserve a strong, healthy democracy? Time will tell. It’s easy to feel there’s nothing one can do. Which only furth...

Call the Capitol Switchboard!

Image
It's hard to not be cynical about politics, today.  Citizenship, however, isn't politics.  Rather, citizenship is responsibility we all share. Citizen participation is a requirement in a functioning democracy, a duty we can each discharge in multiple ways. One of the simplest is to call the Capitol Switchboard on a regular basis to leave messages for your congressional and senatorial representatives. Here's the phone number: (202) 224-3121. I recommend storing the number in your phone, so that when you have a few minutes you can make that time count by calling the Switchboard and leaving a message or two. A great time to do this is during the morning/evening commute, while waiting in line somewhere, or everyday just after breakfast (to make it a habit). "The problem with democracy is that people get the government they deserve." Do we Americans still deserve a strong, healthy democracy? Time will tell. It’s easy to feel there’s nothing one can do. Which only furth...