Algebra 3 Flashcards

Questions and Answers

What is a variable equation?

An equation with constant values

An equation with no solutions

An equation containing a variable (correct)

An equation that is always true

What is a solution in the context of equations?

A value of the variable that makes the equation true

What are equivalent equations?

Equations with the same solutions

What are properties of equality?

Adding, subtracting, multiplying or dividing both sides of an equation by the same numbers gives an equivalent equation Signup and view all the answers

What are inverse operations?

Operations that undo each other Signup and view all the answers

What does it mean to solve an equation?

Find the solution of an equation Signup and view all the answers

What does it mean to check a solution?

Substitute the solution of an equation Signup and view all the answers

What is a discount?

The amount you save when you buy an item on sale Signup and view all the answers

What is the sale price?

The regular price minus the discount Signup and view all the answers

Study Notes

Algebra Key Concepts

Variable Equation: An equation that includes one or more variables. Essential for representing relationships in algebra.
Solution: This refers to the specific value of the variable that satisfies the equation, making it correct.
Equivalent Equations: These are equations that yield the same solution set, meaning they are different in form but represent the same relationship.
Properties of Equality: Fundamental rules stating that performing the same operation (addition, subtraction, multiplication, or division) on both sides of an equation maintains equality, generating an equivalent equation.
Inverse Operations: Pairs of operations that reverse each other, such as addition and subtraction or multiplication and division. Key for solving equations.
Solve: The process of determining the value of the variable in an equation, leading to the solution.
Check: To confirm the solution by substituting it back into the original equation to verify that it holds true.

Financial Terminology

Discount: Represents the amount reduced from the original price of an item when purchased during a sale; important for understanding savings.
Sale Price: The final price after applying the discount to the regular price, indicating the actual amount paid at purchase.

Description

Test your knowledge with these Algebra 3 flashcards. This quiz covers key terms such as variable equations, solutions, equivalent equations, and properties of equality. Perfect for anyone looking to sharpen their algebra skills.