Algebraic Equations: Key Terms, Definitions, and Formulas, Exams of Nursing

A comprehensive overview of algebraic equations, covering essential terms, definitions, and formulas. It includes explanations of concepts such as distributive property, like terms, and properties of equality. Additionally, it offers examples of translating word problems into algebraic expressions and equations, along with key formulas like the distance formula and standard form of parabola equations. This resource is designed to help students understand and apply fundamental algebraic principles, making it a valuable tool for both high school and university-level studies. It also includes a list of answers to the questions, which can be useful for self-assessment and practice. Well-organized and provides a clear and concise explanation of algebraic concepts, making it an excellent resource for students studying algebra.

Typology: Exams

2025/2026

Available from 12/30/2025

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Algebraic equations
distribute - Answersmultiply a sum by multiplying each addend separately and then add
the products
terms - AnswersA number, a variable, or the product of a number and a variable
like terms - Answersexpressions that contain the same variables to the same power
Two expressions set equal to each other - AnswersEquation
The value of the variable that makes the equation true - AnswersSolution
A set of all solutions - AnswersSolution set
Have the same solution or solution set - AnswersEquivalent equations
Multiple the outside term with every term inside parenthesis - AnswersDistributive
Property
Add, subtract, multiply, or divide the same number on each side of the equal sign. -
AnswersProperty of equality
A letter of the alphabet that represents a number - AnswersVariable
The sum of a number and it's opposite equals zero. - AnswersAdditive Inverse
All whole numbers and their opposites; including zero - AnswersIntegers
An equation that expresses information symbolically - AnswersFormula
The product of a number and 1 is equal to that number. - AnswersMultiplicative Identity
The sum of a number and zero is equal to that number - AnswersAdditive Identity
An equation that is ALWAYS true, no matter the value of the variable. - AnswersIdentity
The number multiplied with a variable - AnswersCoefficient
Any number that can be written as a fraction - AnswersRational numbers
Numbers that cannot be written as a fraction - AnswersIrrational numbers
Same variable raised to the same power - AnswersLike Terms
Tells you which operation to perform first - AnswersOrder of Operations
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Algebraic equations

distribute - Answersmultiply a sum by multiplying each addend separately and then add the products terms - AnswersA number, a variable, or the product of a number and a variable like terms - Answersexpressions that contain the same variables to the same power Two expressions set equal to each other - AnswersEquation The value of the variable that makes the equation true - AnswersSolution A set of all solutions - AnswersSolution set Have the same solution or solution set - AnswersEquivalent equations Multiple the outside term with every term inside parenthesis - AnswersDistributive Property Add, subtract, multiply, or divide the same number on each side of the equal sign. - AnswersProperty of equality A letter of the alphabet that represents a number - AnswersVariable The sum of a number and it's opposite equals zero. - AnswersAdditive Inverse All whole numbers and their opposites; including zero - AnswersIntegers An equation that expresses information symbolically - AnswersFormula The product of a number and 1 is equal to that number. - AnswersMultiplicative Identity The sum of a number and zero is equal to that number - AnswersAdditive Identity An equation that is ALWAYS true, no matter the value of the variable. - AnswersIdentity The number multiplied with a variable - AnswersCoefficient Any number that can be written as a fraction - AnswersRational numbers Numbers that cannot be written as a fraction - AnswersIrrational numbers Same variable raised to the same power - AnswersLike Terms Tells you which operation to perform first - AnswersOrder of Operations

Add or multiply real numbers in any order - AnswersCommutative Property Changing the grouping of the sum or product will not change the answer - AnswersAssociative Property difference - Answerssubtract, - , The answer to a subtraction problem sum - Answersaddition, +, The answer to an addition problem product - Answersmultiply, *, the answer to a multiplication problem quotient - Answersdivide, /, The answer to a division problem The difference of a number and two - Answersn - 2 The sum of three and a number - Answers3 + n The product of five and a number - Answers5n The difference of five and a number - Answers5-n The quotient of nine times a number and six - Answers9n/ The quotient of eight and a number is fifty - Answers8/n= The quotient of a number and two - Answersn/ The product of three and a number - Answers3n The sum of eight squared and the quotient of five and a number - Answers8^2 + 5/n The difference in a number and eight - Answersn- 8 The quotient of five and a number plus three - Answers5/(n+3) The difference of a number and two divided by seven - Answers(n-2)/ The sum of a number and three - Answersn+ Half the sum of a number and five - Answers(n+5)/ Half of a number - Answersn/ The product of three and a number - Answers3n

distribute - Answersmultiply a sum by multiplying each addend separately and then add the products terms - AnswersA number, a variable, or the product of a number and a variable like terms - Answersexpressions that contain the same variables to the same power equation - AnswersA mathematical sentence that contains an equals sign. expression - Answersexpression a number, or it is any combination of sums, differences, products or divisions of numbers that evaluates to a number inverse - Answersopposite variable - AnswersA letter used to represent one or more numbers algebraic - AnswersA mathematical phrase that contains variable, numbers, and operation symbols translate - Answerschange from one form into another isolate - Answerskeep separate coefficient - AnswersA number multiplied by a variable. constant - AnswersA value that does not change