# INTEGERS

This video presents an intuitive method for adding/subtracting Integers on the number line.

Here are a few ways to practice multiplying and dividing integers on a number line or with counters.

Operations on Integers Add, Subtract, and Divide Integers on the Number Line.

# FRACTIONS

How to add and subtract fractions.

Let's practice multiplying two fractions together. We'll learn to simplify the answer, too.

Using a number line, we'll explain the rule of "invert and multiply" when dividing two fractions.

# EVALUATING EXPRESSIONS

This Pre-Algebra video tutorial explains the process of evaluating expressions with variables, fractions, and exponents. This video contains plenty of examples and practice problems. Concepts taught include order of operations and pemdas.

So maybe parentheses don't seem like a big deal? Check out this problem and the difference in the answer when you work it without the parentheses.

Learn how to evaluate an expression with variables using a technique called substitution (or "plugging in").

# TWO STEP EQUATIONS

Learn how to solve equations that involve decimals and fractions. The equations shown in this video are called "two-step" equations because they each take two steps to solve.

Let's practice some two step equations, some of which require merging terms and using the distributive property.

Solve the equation by isolating the term with numerator x.

## STANDARDS

Solve linear equations in one variable one solution, infinitely many solutions, or no solutions. (8EE.7a)

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (8.EE.7b)

# COMBINING LIKE TERMS

In simple addition we learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables and we need to make sure that the variables are alike before we add the numbers.

Another good explanation (minus Chuck Norris) on the how we combine like terms in algebra. This will totally make sense. Watch the next lesson:

This example of combining like terms in an expression gets a little hairy. Listen closely.

## STANDARDS

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (8.EE.7b)

# MULTIPLE STEP EQUATIONS

Sal solves the equation 2x + 3 = 5x - 2.

Another good explanation (minus Chuck Norris) on the how we combine like terms in algebra. This will totally make sense.

Equations with Variables on Both Sides

Turning a rational equation into a linear equation.

Turning a non-linear equation into a linear one.

## STANDARDS

Solve linear equations in one variable one solution, infinitely many solutions, or no solutions. (8EE.7a)

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (8.EE.7b)