Numerical and Algebraic Expressions Flashcards

Questions and Answers

What is a numerical expression?

A combination of numbers and operations (correct)

A mathematical sentence containing an equals sign

An equation that contains a variable

A placeholder for any value

What does it mean to evaluate an expression?

Find the numerical value of an expression

What is meant by substituting in mathematics?

Replacing a variable with a number

What is the Order of Operations?

The process of evaluating an expression using PEMDAS Signup and view all the answers

What is the sum in mathematics?

The answer to an addition problem Signup and view all the answers

What does the term difference refer to?

The answer to a subtraction problem Signup and view all the answers

What is the product in mathematics?

The answer to a multiplication problem Signup and view all the answers

What does quotient mean?

The answer to a division problem Signup and view all the answers

What does it mean to translate an expression?

Writing it in algebraic terms Signup and view all the answers

What is a variable?

A placeholder for any value Signup and view all the answers

What is an algebraic expression?

An expression that contains sums and/or products of variables and numbers Signup and view all the answers

What is an equation?

A mathematical sentence containing an equals sign Signup and view all the answers

What is an open sentence?

An equation that contains a variable Signup and view all the answers

What is a solution in mathematics?

A value for the variable that makes an equation true Signup and view all the answers

What does solving an equation involve?

Finding the solution to an equation Signup and view all the answers

What does equivalent refer to in mathematics?

Two expressions that have the same meaning Signup and view all the answers

What is an inequality?

A mathematical sentence that contains < , > , ≤ or ≥ Signup and view all the answers

What does maximum mean?

The greatest amount possible Signup and view all the answers

What does minimum mean?

The lowest amount possible Signup and view all the answers

Study Notes

Numerical Expressions

Composed of numbers and operations (addition, subtraction, multiplication, division).
Example: 2 + 3 or 5 - 2.

Evaluate

Refers to finding the numerical value of an expression.

Substitute

Involves replacing a variable with a specific number to evaluate an expression.

Order of Operations

A critical process for evaluating expressions correctly, following the PEMDAS acronym (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Sum

The result obtained from performing an addition operation.

Difference

The result derived from performing a subtraction operation.

Product

The result achieved through a multiplication operation.

Quotient

The result obtained from performing a division operation.

Translate

The process of expressing a word problem or statement into algebraic terms (using numbers and variables).

Variable

A symbolic placeholder that can represent any value within an expression.

Algebraic Expression

Comprises sums and/or products of variables and numbers.
Example: x + 3.

Equation

A mathematical statement that equates two expressions using an equals sign (=).

Open Sentence

An equation containing at least one variable, making it not a fixed true or false statement.

Solution

A specific value for the variable that satisfies the equation, such as x + 7 = 9 where the solution for x is 2.

Solving an Equation

The method of determining the solution that makes an equation valid.

Equivalent

Two expressions that convey the same value or meaning, for instance, 2 + 3 and 1 + 4.

Inequality

A mathematical statement that indicates a relationship between expressions using symbols like <, >, ≤, or ≥.

Maximum

Refers to the highest possible value in a given situation or set.

Minimum

Refers to the lowest possible value in a given situation or set.

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Description

Test your knowledge of numerical and algebraic expressions through these flashcards. Each card covers essential definitions and examples, helping you understand key concepts such as evaluating expressions and the order of operations. Perfect for students looking to sharpen their math skills.