Questions and Answers
What is a numerical expression?
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?
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What is the sum in mathematics?
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What does the term difference refer to?
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What is the product in mathematics?
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What does quotient mean?
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What does it mean to translate an expression?
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What is a variable?
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What is an algebraic expression?
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What is an equation?
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What is an open sentence?
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What is a solution in mathematics?
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What does solving an equation involve?
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What does equivalent refer to in mathematics?
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What is an inequality?
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What does maximum mean?
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What does minimum mean?
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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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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.