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Thinkwell Algebra 1: Unit 2 Vocabulary

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Questions and Answers

What does the Addition Property of Equality state?

If you add the same number to both sides of an equation, the new equation will have the same solution. (correct)
If you subtract the same number from both sides of an equation, the new equation will have a different solution.
If you add the same number to both sides of an equation, the new equation may not be true.
If you divide both sides of an equation by a number, the new equation will remain unchanged.

What is a contradiction in terms of equations?

An equation that has no solutions.

What does the Division Property of Equality state?

If you multiply both sides of an equation by a negative number, the solutions flip.
If you divide both sides of an equation by the same nonzero number, the new equation will have the same solution. (correct)
If you divide both sides of an equation by zero, the equation is undefined.
If you add a number to both sides of an equation, the equation remains the same.

What is an equation?

A mathematical statement that two quantities are equal. Signup and view all the answers

What is a formula?

A literal equation that states a rule for a relationship among quantities. Signup and view all the answers

What is identity in algebra?

An equation that is true for all values of the variables. Signup and view all the answers

What are inverse operations?

Operations that undo each other. Signup and view all the answers

What is a literal equation?

An equation that contains two or more variables. Signup and view all the answers

What does the Multiplication Property of Equality state?

If you multiply both sides of an equation by the same number, the new equation will have the same solution. (A) Signup and view all the answers

Study Notes

Vocabulary and Definitions

Addition Property of Equality: If a number is added to both sides of an equation, the solution remains unchanged.
Contradiction: An equation with no possible solutions, indicating a false statement.
Division Property of Equality: Dividing both sides of an equation by the same nonzero number does not change the solution.
Equation: A statement that asserts the equality of two expressions.
Formula: A specific type of equation that describes a relationship between different quantities.
Identity: An equation that holds true for every value of the variable involved.
Inverse Operations: Operations that reverse one another, including addition versus subtraction and multiplication versus division.
Literal Equation: An equation featuring two or more variables, often used to express relationships in algebra.
Multiplication Property of Equality: Multiplying both sides of an equation by the same number results in an equivalent equation with the same solution.

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Description

Test your knowledge of key vocabulary terms from Thinkwell's Algebra 1 Unit 2. This quiz covers essential concepts such as properties of equality, contradictions, and more. Prepare to enhance your understanding of equations, proportions, and percentages.