Questions and Answers
What are arithmetic operations?
What is an expression?
A collection of numbers, operation signs, and inclusion symbols that stands for a number.
What does evaluating mean?
To find the number for which the expression stands.
What is a variable?
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What does substituting mean?
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What are the terms related to the operations: sum, difference, product, quotient?
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______ are numbers that are added or subtracted, whereas ______ are numbers that are multiplied together.
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What is the order of operations?
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What is an equation?
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The ____ of an equation is a number you can substitute for the variable that makes the sentence true.
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To ____ an equation means to do the same operation to each member of the equation.
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What is the sum of 3 + 2?
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What is the difference of 3 - 2?
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What is the product of 3 X 2?
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What is the quotient of 3 / 2?
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Study Notes
Arithmetic Operations
- Involves four basic functions: addition, subtraction, multiplication, and division.
Expression
- A mathematical phrase containing numbers, operation signs, and symbols that represent a specific value.
Evaluating
- The process of determining the numerical value that an expression signifies.
Variable
- A symbol, often a letter, representing an unspecified number, which can vary in value but is consistent within a single expression.
Substituting
- Replacing a variable with a specific constant or number to evaluate an expression.
Sum, Difference, Product, Quotient
- Results of mathematical operations:
- Sum: Addition result
- Difference: Subtraction result
- Product: Multiplication result
- Quotient: Division result
Terms and Factors
- Terms are the individual components added or subtracted in an expression, while factors are the components multiplied together.
Power, Base, and Exponent
- A power consists of a base (the number being multiplied) raised to an exponent (the number of times the base is used as a factor).
Order of Operations
- Sequence of operations to solve expressions:
- Evaluate expressions in parentheses first, then powers,
- Follow with multiplication and division from left to right,
- Finally, perform addition and subtraction from left to right.
Equation
- A mathematical statement asserting the equality of two expressions, illustrated by examples like x + 3 = 5.
Solution
- The specific value of a variable that satisfies an equation, making the statement true.
Transform
- Refers to applying the same mathematical operation across all parts of an equation to maintain equality.
Basic Arithmetic Examples
- Sum: 3 + 2 results in 5.
- Difference: 3 - 2 yields 1.
- Product: 3 multiplied by 2 equals 6.
- Quotient: 3 divided by 2 gives 1.5.
Studying That Suits You
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Description
Test your knowledge of key concepts from Chapter 1 of the Algebra 1 textbook by Paul A. Foerster. This set of flashcards covers fundamental terms like arithmetic operations, expressions, evaluating, and variables, helping you to reinforce your understanding of basic algebra concepts.
