Topic 1: Expressions and Formulas
Definitions:
Variables- letters that represent an unknown quantity
Algebraic Expression - (no equal sign) expressions that contain at least one variable
Helpful Hints:
Video Examples:
Evaluating Expressions
Variables- letters that represent an unknown quantity
Algebraic Expression - (no equal sign) expressions that contain at least one variable
Helpful Hints:
- Parenthesis, brackets, and fraction bars all act as grouping symbols (parenthesis)
Video Examples:
Evaluating Expressions
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Topic 2: Expressions and Formulas
Definitions:
Real Numbers - numbers used in everyday life
Rational Numbers - can be written as a fraction
Irrational Numbers - non-terminating, non-repeating decimals
Natural Numbers - counting numbers (starting with 1....1, 2, 3...etc)
Whole Numbers - natural numbers and 0
Integers - positive and negative whole numbers
Video Examples:
Real Number System
Real Numbers - numbers used in everyday life
Rational Numbers - can be written as a fraction
Irrational Numbers - non-terminating, non-repeating decimals
Natural Numbers - counting numbers (starting with 1....1, 2, 3...etc)
Whole Numbers - natural numbers and 0
Integers - positive and negative whole numbers
Video Examples:
Real Number System
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Real Number Properties
Topic 3: Solving Equations
Definitions:
Like Terms - same variable, same exponent
Helpful Hints:
Steps: Distribute (multiply)
Combine like terms that are on the left side of the equal sign
Combine like terms that are on the right side of the equal sign
Move all letters to one side of the equal sign using opposite signs (generally, left side)
Move all numbers to the other side of the equal sign using opposite (generally, right side)
You should have something like 2x = 4 at this point, divide by the number that is with the letter to get the number by itself(if it looks more like x/2 = 4 then set up a proportion by putting a 1 under the 4....like this: x/2 = 4/1 and solve like a proportion.
Video Examples:
Solving Equations
Like Terms - same variable, same exponent
Helpful Hints:
Steps: Distribute (multiply)
Combine like terms that are on the left side of the equal sign
Combine like terms that are on the right side of the equal sign
Move all letters to one side of the equal sign using opposite signs (generally, left side)
Move all numbers to the other side of the equal sign using opposite (generally, right side)
You should have something like 2x = 4 at this point, divide by the number that is with the letter to get the number by itself(if it looks more like x/2 = 4 then set up a proportion by putting a 1 under the 4....like this: x/2 = 4/1 and solve like a proportion.
Video Examples:
Solving Equations
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Topic 4: Solving Absolute Value Equations
Definitions:
Absolute Value - distance from zero (always positive)
Helpful Hints:
Make sure you check for extraneous roots (solutions that aren't true when you plug your answer back in to check)
Video Examples:
Solving Absolute Value Equations
Absolute Value - distance from zero (always positive)
Helpful Hints:
Make sure you check for extraneous roots (solutions that aren't true when you plug your answer back in to check)
Video Examples:
Solving Absolute Value Equations
Topic 4: Solving Inequalities
Definitions:
Inequality - when one expression is less than (<) or greater than (>) another number or expression
Helpful Hints:
When you divide or multiply by a negative number you must flip the inequality symbol!
Less than makes the shape of left hand < Greater than makes the shape of right hand >
Inequality - when one expression is less than (<) or greater than (>) another number or expression
Helpful Hints:
When you divide or multiply by a negative number you must flip the inequality symbol!
Less than makes the shape of left hand < Greater than makes the shape of right hand >
Video Examples:
Solving Inequalities
Graphing Inequalities
Topic 5: Solving Compound Inequalities & Absolute Value Inequalities
Definitions:
Compound Inequality - consists of two inequalities joined by the word "and" or the word "or"
Helpful Hints:
When you graph "and" shades inward, "or" shades outward
Compound Inequality - consists of two inequalities joined by the word "and" or the word "or"
Helpful Hints:
When you graph "and" shades inward, "or" shades outward