Real math help.
How Do You Use the Graph of a Linear Equation to Solve a Word Problem?
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Word problems are a great way to see math in the real world! In this tutorial, see how to figure out how long it will take for a rabbit population to go extinct. You'll also see how to set up a table and a graph to help find the answer!
Background Tutorials
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Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
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What is the X-Axis?
To graph a function or plot an ordered pair, you need to use a coordinate plane, so you should learn all about it! In this tutorial, you'll learn about the x-axis and see where it's located in the coordinate plane.
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What is the Y-Axis?
To graph a function or plot an ordered pair, you need to use a coordinate plane, so you should learn all about it! In this tutorial, you'll learn about the y-axis and see where it's located in the coordinate plane.
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Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
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What is an Ordered Pair?
Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!
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Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
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How Do You Plot Points in the Coordinate Plane?
Knowing how to plot ordered pairs is an essential part of graphing functions. In this tutorial, you'll see how to take an ordered pair and plot it on the coordinate plane. Take a look!
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Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
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What is a Variable?
You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!
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Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
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What is a Linear Equation?
If you're learning about graphs, you're bound to see a bunch of linear equations, so it's a good idea to understand what makes an equation a linear equation. This tutorial explains linear equations and shows you the difference between equations that are linear and ones that are not. Check it out!
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Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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How Do You Make a Table of Values for a Linear Equation?
To graph a linear equation, you could make a table of values to plot, but first you'll need to know how to make the table. Take a look at this tutorial! You'll see how to set up a table, choose appropriate x-values, plug those values into the equation, and simplify to get the respective y-values. This tutorial shows you how to set up a table of values for a linear equation!
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Further Exploration
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Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
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How Do You Graph an Exponential Function Using a Table?
Graphing an exponential function? No sweat! Create a table of values to give you ordered pairs. Then, plot those ordered pair on a coordinate plane and connect the points to make your graph! Follow along with this tutorial as it shows you all the steps.
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