Saturday, January 23, 2016
In this video, you will learn how to convert slope-intercept form equations to standard form equations. A slope-intercept form equation is any linear equation in the form of y=mx+b, in which the m is the slope and b is the y-intercept. In order to convert a slope-intercept form equation to a standard form equation, it's important to know that the standard form of any linear equation is ax+by=c, in which a and b are coefficients and c is the constant. The first step is to identify the x and y values. In slope-intercept form, the y is on the left hand side of the equation, whereas the x is on the right hand side. In standard form, the x and y values must be on the left hand side, so you will subtract the x value in y=mx+b onto the left hand side. Next, you must rearrange terms to get them into ax+by=c form. Thanks for watching this video, and hit subscribe for more free lessons!
In this video, you will learn about zero and negative exponents. There are many properties of exponents, including the zero exponent property and the negative exponent property. The zero exponent property states that any number to the power of 0 is always 1. That means that if the exponent is 0, the solution is always going to be 1, no matter how small or large the number is. The negative exponent property states that whenever a number has a negative exponent, you will multiply that number by itself that many times, but when you get your answer, it will be a fraction of 1/(the answer). For example, 2^---2 = 4 = 1/4. For more steps, watch the video and don't forget to like and subscribe!
Tuesday, December 29, 2015
In this video, you will learn how to write a linear equation from a given table of values. In order to write the equation, you need to know the slope intercept form of a linear equation, which is y = mx + b, y and x being the values, m being the slope, and b being the y-intercept. The slope is always the rise over run, meaning you have to find the change in the y values (y-axis rises/falls), over the change in x values (x-axis left/right). Once you find the slope, you can substitute it into the y = mx + b, and take any coordinate to fill in the x and y variables. Then, you simply solve for b, which is the y-intercept. Once you have the slope and y-intercept, substitute into the slope intercept form, and you have your linear equation.
In this video, you will learn how to graph absolute value functions. Absolute value is the distance of an number from 0 in a number line. The absolute value of any number is always positive. When graphing absolute value functions, keep in mind that the graph will not be a straight line like in linear functions. Instead, the line will look curved and bent. Before you graph an absolute value function, it is important to find all the coordinates. In the chart shown in the video, the x values of six coordinates have been listed. As for the y values, there is a function given: y = Ix - 5I. In order to find the y values, you have to plug in the value of x into the function, and then find the absolute value of the answer that you get. Once you have all your values, graph them to get your final answer. Thanks for watching this video, and hit like and subscribe for more videos every week!
Direct Variation - Algebra IIn this video, you will learn about direct variation. Direct variation is the relationship between two variables that is consistent. In most examples of direct variation, you will be given the values of the two variables, and asked to find the value of one of the variables, when the other variable equals a quantity. In order to find that value, you must use the formula for direct variation. The formula is y=kx, in which y and x are the two variables, and k is the constant of variation. The constant of variation is the ratio of variation between the two variables that is constant for all values. To find the constant of variation, substitute the values given for x and y into the formula. Once you have the constant of variation, substitute into the formula with the third given value to find its varying value. Thanks for watching this video, and please subscribe for weekly videos!
Slope and Rate of ChangeIn this video, you will learn about slope and rate of change. There are four types of slope: positive (rising), negative(falling), zero slope, and no slope. In order to find the slope, take any two coordinates from a line and substitute the values of x and y of each coordinate into the formula. Rate of change is the relationship between the x and y values in the coordinates given. In order to find the rate of change, you need to know that the you are looking for the change of y over the change of x. Thanks for watching this video, and subscribe for more!
Sunday, December 20, 2015
In this video, you will learn how to solve perimeter word problems involving variables. For example, if you have a rectangle, the formula for perimeter is 2L + 2W. Based on the measurements given, you will substitute into the formula to find the length and width.
Perimeter Word Problem Involving Variables - Algebra I