Algebra

Algebra Lesson 4: Solving Quadratic Equations Using the Square Root Property

Quadratic Equations Using Square Root Property Algebra Lesson 4

The square root property is one method that can be used to solve quadratic equations. This method is generally used on equations that have the form ax² = c or (ax + b)² = c, or an equation that can be re-expressed in either of those forms.

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

Note that there is always the possibility of two roots for every square root: one positive and one negative. Placing a ± sign in front of the side containing the constant after you take the square root will ensure that the final answer will include both possible roots.

Algebra Lesson 3: Equations Containing Absolute Value

Solving Equations Containing Absolute Value Algebra Lesson 3

How do you solve equations involving absolute value?

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Algebra Lesson 2: Literal Equations

How to Solve Literal Equations Algebra Lesson 2

Literal equations, simply put, are equations containing two or more variables. Your goal is to solve for just one variable with respect to others. If you know how to solve regular equations, then I guarantee you that solving literal equations will be a breeze.

What is a Literal Equation?

A literal equation is an equation that involves more than one variable. More so, a variable or “literal” is a math symbol that represents an arbitrary value or number. The letters in the alphabet are usually used to represent variables such as $a$ , $b$ , $c$ , $x$ , $y$ , and $z$ . To solve a literal equation means to express one variable with respect to the other variables in the equation.

Key in Solving Literal Equations

The “heart” of solving a literal equation is to isolate or keep by itself a certain variable on one side of the equation (either left or right) and the rest on the opposite side.

If you know how to solve regular One-Step Equations, Two-Step Equations, and Multi-Step Equations, the process of solving literal equations is very similar.

Algebra Lecture 1: How to Solve Linear Equations

How to Solve Linear Equations Algebra Lesson 2

After completing this tutorial, you should be able to:

Know what an equation is
Know if a value is a solution or not
Know what a solution set of an equation means
Know the different types of equations
Use the different properties of equality to solve linear equations.
Determine the solution set of a linear equation

The heart of algebra is about solving equations. In this tutorial we will be looking specifically at linear equations and their solutions. We will solve equations that use only one property to make sure you have the individual concepts down. Then we will mix them up where you need to use several properties and steps to get the job done.

Equations can be used to help us solve a variety of problems. In later tutorials, we will put them to use to solve word problems. Then you can answer those tricky math questions.

Graphing linear equations using x and y intercepts

Graphing linear equations using x and y intercepts Step by step

Learn how to graph linear equations using x and y intercepts. This is a lesson that is covered in Grade 8 under linear equations. Recall that the xintercept is the point where the graph intersects the x-axis and the y intercept is the point where it intersects the y-axis. To find the x intercept, set y = 0, then solve for x. To find the y-intercept, set x = 0, then solve for y. After obtaining the values of the x-intercept and the y-intercept, we plot the points on the coordinate plane and then draw a line passing through the points.