Module 5 Algebraic Equations Vocabulary Flashcard

Front

What is a Two-Step Equation?

Back

An equation that requires two operations to solve, typically involving both addition/subtraction and multiplication/division.

Front

What does the Addition Property of Equality state?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same nonzero number, the two sides remain equal.

Front

Define the Inverse Property of Multiplication.

Back

The product of a number and its multiplicative inverse (reciprocal) is 1.

Front

What does the Multiplication Property of Equality state?

Back

If you multiply both sides of an equation by the same nonzero number, the two sides remain equal.

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What is the purpose of solving an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents an unknown value.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation includes an equality sign.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the other side.