Podcast
Questions and Answers
What does the Addition Property of Equality state?
What does the Addition Property of Equality state?
- You can ignore one side of the equation
- You can add/subtract the same number to both sides of the equations and the solution will stay the same (correct)
- You can change the variables in the equation
- You can multiply/create a fraction from both sides
What is the Additive Inverse Property?
What is the Additive Inverse Property?
Opposites add to be zero.
What does the Additive Identity Property state?
What does the Additive Identity Property state?
The sum of any number and zero is that number.
What does the Multiplication Property of Equality say?
What does the Multiplication Property of Equality say?
What is the Multiplicative Inverse Property?
What is the Multiplicative Inverse Property?
What does the Multiplicative Identity Property indicate?
What does the Multiplicative Identity Property indicate?
What are solutions in the context of equations?
What are solutions in the context of equations?
What are equivalent equations?
What are equivalent equations?
What does it mean to isolate the variable?
What does it mean to isolate the variable?
What are opposites in mathematics?
What are opposites in mathematics?
What does the Commutative Property for Addition state?
What does the Commutative Property for Addition state?
What is the Commutative Property for Multiplication?
What is the Commutative Property for Multiplication?
What does the Associative Property for Addition imply?
What does the Associative Property for Addition imply?
What does the Associative Property for Multiplication indicate?
What does the Associative Property for Multiplication indicate?
What is unit conversion?
What is unit conversion?
What are equivalent expressions?
What are equivalent expressions?
What does the Distributive Property state?
What does the Distributive Property state?
What are terms in an expression?
What are terms in an expression?
What is a coefficient?
What is a coefficient?
What is a constant term?
What is a constant term?
What are like terms?
What are like terms?
What is an equation?
What is an equation?
What is a solution in mathematical terms?
What is a solution in mathematical terms?
Study Notes
Properties of Equality
- Addition Property of Equality: Adding or subtracting the same number from both sides keeps the equation valid.
- Multiplication Property of Equality: Multiplying or dividing both sides by the same number preserves the equation's equality.
Inverse and Identity Properties
- Additive Inverse Property: Adding opposites yields zero, aiding in solving equations.
- Multiplicative Inverse Property: The product of a number and its reciprocal equals one.
- Additive Identity Property: The sum of any number and zero is the number itself.
- Multiplicative Identity Property: Any number multiplied by one remains unchanged.
Solution Concepts
- Solutions: Values that satisfy the equation, making it true.
- Equivalent Equations: Different equations that yield the same solution set.
- Isolate the Variable: Rearranging an equation to have the variable alone on one side.
Terms and Expressions
- Terms: Components of an expression linked by addition.
- Like Terms: Terms sharing the same variables with identical exponents.
- Constant Term: A term that represents a fixed number without any variables.
- Coefficients: Numbers that multiply variables in terms.
Properties of Operations
- Commutative Property: Order of addition or multiplication can be changed without affecting the result.
- Associative Property: Grouping in addition or multiplication does not influence the outcome.
Other Mathematical Concepts
- Distributive Property: Allows multiplication of a number outside parentheses with each term inside.
- Unit Conversion: Process of converting measurements from one unit to another.
- Equivalent Expressions: Different algebraic forms representing the same value or outcome.
Equations
- Equation: A mathematical statement asserting the equality of two expressions.
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Description
This quiz provides flashcards covering key properties related to solving equations in pre-algebra. Learn about the Addition Property of Equality, Additive Inverse Property, and more. Test your understanding with these essential mathematical concepts!
