Absolute value equation math is fun
If we draw a number line right there, that's 0. Because then when you take the absolute value, you're going to get 19 again. Above Average Arithmetic. Learning to tell time is so grade school. Indulge your inner geek and accept a new challenge with this nerdy clock. Each numerical hour of. Absolute Value Functions Since the absolute value of a number is always positive, when we graph the equation y = |x| the shape of our graph looks quite different. This will become a negative To solve this one, add 5 to both sides of this equation.
So it's going to go through that line, that point right there. And the graph, if we didn't have this constraint right here, would look something like this.
Absolute Value Equations
That's if we didn't constrain it to a certain interval on the x-axis. Now this graph, what does it look like? It has its y-intercept at positive 3. And where's its x-intecept?
When y is equal to 0, x is equatin 3. So it also goes through that point right there, and it has a slope of 1. So it would look something like this. That's what this graph looks like. Now, what we figured out is that this absolute value function, it looks like this purple graph when x is less than negative 3. So when x is less than negative that's x is equal to negative 3 right there-- when x is less than negative 3, it looks like this purple graph.
So that's when x is less than negative 3. But when x is greater than negative 3, it looks like the green graph. It looks like that. So this graph looks like this strange v. When x is greater than negative 3, this is positive.
So we have the graph of-- we have a positive slope. Adding and Subtracting Integers - A fun way to practice adding and subtracting integers. Exponent Game With Kiwi Practice applying the fun rules of exponents by playing this game with Kiwi. Operations math Integers Review the rules for adding, subtracting, multiplying, and dividing integers when playing this interactive jeopardy game.
Rational and Irrational Numbers In this interesting game, middle school students will have fun classifying rational and irrational numbers. How can I say that? Well, look, if this is going to be a negative number, if x plus 3 is going to be a negative number-- that's what we're assuming here-- if it's going to be a negative number, then when you take the absolute value of a negative number, you're fun to make it positive. That's just like multiplying it by negative 1. If you know you're taking the absolute value of a negative it's just like multiplying it by negative 1, because you're going to make it positive.
And this is going to be the situation. If we subtract 3 from both sides, when x is less than negative 3. So when x is less than negative 3, the graph will look like this.
Absolute Value in Algebra
When x is greater than negative 3, the graph will look like that. So let's see what that would make the entire graph look like. Let me draw my axes. That's my x-axis, that's my y-axis. So just let me multiply this out, just so we have it in mx plus b form.
So this is equal to negative x minus 3. So let's just figure out what this graph would look like in general. Negative x minus 3.
The y-intercept is negative 3, so 1, 2, 3. And negative x means it slopes downward, has a downward slope of 1. So it would look like this. Then taking the square root will "undo" the squaring, but leave it positive or zero.
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My brother really loved it and enjoyed proving how he knew each equation correlated to each number hour. Purchased this as a gift for my son who loves Mathmatics. Our 13yo boy who is into math found it "cool". We welcome your feedback, comments and questions about this site or page. Please submit fun feedback or enquiries via our Feedback page.