What are Compound Inequalities - Algebra I

In this video you will learn about compound inequalities. A compound inequality is a combination of two or more inequalities that are joined by the word 'and' or the word 'or'. This means that there are two types of compound inequalities and therefore two different ways to graph. For an 'and' compound inequality, you have to find a solution that makes both inequalities true. For an 'or' inequality, the solution has to make one or the other true. To graph an 'and' compound inequality, the graph connects both points, whereas in an 'or compound inequality, the points take off in different directions in most questions in algebra I.

What are Compound Inequalities - Algebra 1

How to Solve Equations with Variables on Both Sides - Algebra I

In this video you will learn how to solve an equation with variables on both sides. The first step is to combine like terms. Then use inverse operations to eliminate the values that are being added, subtracted, etc. to the variable. Inverse operations are opposite operations. The inverse of addition is subtraction and the inverse of multiplication is division. Equations with variables on both sides often have the same variable which you have to find the value of. Otherwise, if there are two different variables, solve for the given variable.

How to Solve Equations with Variables on Both Sides - Algebra 1

How to Solve Literal Equations - Algebra I

In this video you will learn how to solve literal equations. Literal Equations are equations that include more than one variable and you have to solve for one specific variable. In literal equations, when you solve for a variable you are just trying to isolate that variable. A solution to a literal equation could be x = b + 7. So you don't exactly get the value of the variable, just a solution. To isolate the variable, you have to get rid of anything that is being added, subtracted, etc. to the target variable. You do this by using inverse operations.

How to Solve Literal Equations - Algebra 1

Variables and Expressions - Algebra I

In this video you will learn about variables and expressions. A variable is a lower case letter that is used to represent an unknown value in mathematics. An expressions is a mathematical statement which consists of variables and numeric operations. An expression can only be simplified and not solved unless the value of a variable is given to you. This is the first topic in our algebra unit and outlines the basics of algebraic expressions and equations.

Variables and Expressions - Algebra 1

7th Grade Math - Area of Rectangle

In order to find the area of a rectangle, you simply multiply the length times the width. When it comes to seventh grade math however, we use expressions for the measurement rather than simple numbers. The formula stays the same. Once you have multiplied the length by the width, you substitute the value of the variable and calculate your final perimeter. Watch the following video for a more detailed explanation.

How to Find Area of Rectangle - 7th Grade Math

Variables and Coefficients

Introduction

In this lesson, we will learn about variables and coefficients in algebraic equations.

Key Terms:

• Equations show that two things are the same or equal using the equal sign "="
• Variables are lower case letters used in algebraic equations to replace an unknown number
• Coefficients are used in equations to multiply variables

Parts of Equations

Solving Algebraic Equations

Let's take a look at the above equation.

3n + 9

In order to solve the equation, we need to find what the variable "n" is. Let's say that n is equal to 17.

So, that means we have to multiply 3 x 17 is 51. Now just add 51 + 9 = 60.

The answer to the algebraic equation 3n + 9 is equal to 60.

Addition in Equations

Introduction

In this lesson, you will learn how to perform addition in equations. Before we begin, let's review what an equation is in mathematics.

Equation

A statement that shows that two mathematical expressions are equal.

Addition in Equations

The main thing that you need to focus on when adding in equations is that you have to get the x alone. So, as an example, let's take a look at the following equation:

x + 12 = 56

In order to get the x alone, we need to do the reverse operation of addition, which is subtraction. We will turn the +12 into a -12 and then subtract 12 from both sides. So 12-12 equals 0 and 56-12 equals 44. So that means the x equals 44. We can check this by solving the equation like this:

44 + 12 = 56

So that means that 44 is the correct answer!

x + 12 = 56

x = 44

Sheet 1 Adding Equations