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
In this video, you will learn how to rewrite an equation from standard form to slope intercept form. Standard form is ax+by=c in which a and b are coefficients and c is a constant. Slope intercept form is y=mx+b, in which m is the slope and b is the y-intercept. In order to rewrite an equation from standard form to slope intercept form, you have to solve for the value of y. Then, rewrite to have the equation in slope intercept form.
How to Convert Standard Form to Slope Intercept Form - Algebra I
In this video, you will learn how to write an equation of a line when given two points. The first step is to write out the slope intercept form of a linear equation, which is y=mx+b. Remember that you are looking for the values of m and b, m being the slope and b being the y-intercept. To find the slope, use the slope formula. To find the y-intercept, use any of the given points and substitute into the slope intercept formula with the slope. Once you have both values, simply substitute into the slope intercept form and you have your equation. For more, subscribe and don't forget to hit like and leave a comment below!
How to Write an Equation of a Line when given Two Points - Algebra I
In this video, we will be doing an introduction to consecutive integers. Consecutive integers are integers that follow each other in a specified patterned order. This video will cover the basics of algebra I consecutive integers with four detailed step-by-step examples. Thanks for watching, and subscribe for much more!
Introduction to Consecutive Integers - Algebra I
In this video, you will learn how to find a pair of consecutive integers by using word problems. Consecutive integers are integers that follow each other in a patterned order. For each word problem, you will set up the problem based on how many integers you are looking for. The first integer will always be a variable, the others following in a specified patterned order. To learn more, watch the video, hit like, and subscribe for more!
Consecutive Integers and Word Problems (Sum of Consecutive Integers) - Algebra I
Saturday, December 12, 2015
In this video, you will learn about the quadratic formula and the discriminant. The discriminant is the value that determines how many solutions and the type of solutions that a quadratic equation has. The quadratic formula is a method for solving a quadratic equation. In the quadratic formula, there is a part under the radical, which is b^2-4ac. This part of the formula is what's used to find the value of the discriminant. The first step is to put your quadratic equation into ax^2+bx+c form. Next, you identify the values of a, b, and c. Now you will substitute these values into b^2-4ac to find the discriminant. If the value is positive, there are 2 real solutions. If the value is negative, then there are 2 complex solutions. If the value is equal to 0, then there is one real solution.
Quadratic Formula and the Discriminant - Algebra I
In this video, you will learn how to solve a quadratic equation using factoring. A quadratic equation is always in the form of ax^2+bx+c. The x^2 term is what makes an equation quadratic. There are several methods to solve a quadratic equation, one of which is called factoring. When factoring to solve a quadratic equation, you first put the equation into ax^2+bx+c form, and then factor to get two binomials. Set each binomial equal to zero, and the numbers you get as a result of solving, will be your solutions to the quadratic equation.
Solving Quadratic Equations using Factoring - Algebra I
In this video, you will learn how to solve a system of linear inequalities. Linear inequalities have the symbols of greater than, less than, greater than or equal to, and less than or equal to. When you are solving a system of linear inequalities, you solving for the variables. Since these are inequalities, you won't get an exact answer, but you get a range of the solutions. Once you have gotten that, you will shade based upon the symbol in the inequality. The shaded part that overlaps both lines in the solution of the inequality. Any point within that shaded area will make the inequalities true.
Solving Systems of Linear Inequalities - Algebra I