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Multiplying Integers

Multiplying integers and dividing integers share the same rules. When you multiply or divide integers that have the same sign, the answer is positive. When you multiply or divide integers that have different signs, the answer is negative.

Subtracting Integers

Subtracting integers is easy when you use the keep change change rule. This rule allows you to rewrite the subtraction problem as an addition problem and then follow the addition rules.

When adding integers you want to look at the signs of the numbers that you are adding. If the signs are the same, then add the numbers and keep the sign. If the signs are different, subtract the numbers and take the sign of the number with the largest absolute value.

Comparing Integers

Comparing integers can be done by using a numberline. Numbers increase as you move to the right and decrease as you move to the left. I will demonstrate how to order integers by using a numberline and compare integers by using inequality symbols.

Integers

Are you beginning your study of integers? Here you will find defintions and examples.

Integer Rules

In this Unit, you will learn the integer rules necessary for Algebra

Improper Fractions to Mixed Numbers

Improper fractions can be converted to mixed numbers. We will discover how to rewrite our improper fractions as mixed numbers.

Continue reading "Improper Fractions to Mixed Numbers"

Finding the GCF using Factor Trees

Finding the GCF of a set of large numbers can be a daunting task. Lucky for us, we can use prime factorization or factor trees to find the gcf of a set of numbers.

Continue reading "Finding the GCF using Factor Trees"

Open Sentences

An open sentence is a sentence that contains one or more variables that may be true or false depending on what values you substitute for the variables.

Distributive Property Practice Problems

Practice using the distributive property with these challenging problems.

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Distributive Property

The distributive property is widely used in Algebra and is one of the most important properties. In this lesson, I will walk you step by step through how to properly use the distributive property.

Basic Math Formulas

Basic math formulas are used so often in real world problems, that it's important to learn how to utilize these formulas early in your Algebra studies.

Practice Simplifying Algebraic Expressions

In this lesson, we will practice simplifying algebraic expressions.

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Simplifying Algebraic Expressions and Combining Like Terms

When simplifying algebraic expressions, you will first need to understand how to combine like terms and the distributive property. We will walk through three examples to demonstrate exactly how to combine like terms.

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Translating Algebra Expressions

Translating algebra expressions is pretty easy once you have learned all of the key words that correleate with the four operations. In this lesson, you will have four charts outlining all of the key words that are necessary for translating algebraic expressions.

How to Evaluate Algebraic Expressions

When you evaluate algebraic expressions you must substitute the given value for the variable. Then you evaluate the numerical expression by using the order of operations. We will walk through three examples of evaluating algebraic expressions.

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Algebraic Variables

Algebraic Variables are used to make math processes easier. When we use variables, we will substitute a number for the variable in order to evaluate the expression.

Associative Property in Algebra

The associative property says that when adding or multiplying, we can change the grouping of numbers and it will not change their answer.

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Commutative Property in Algebra

The commutative property is a property that allows you to rearrange the numbers when you add or multiply so that you can more easily compute the sum or product.

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Using PEMDAS to Evaluate Numerical Expressions

We often use PEMDAS to evaluate expressions. Even though P stands for parenthesis, this also includes any other grouping symbols, such as brackets, fraction bars, or radical symbols. We will walk through three examples that utilize these other grouping symbols within an expression.

Continue reading "Using PEMDAS to Evaluate Numerical Expressions"

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