Pre Algebra Terms Flashcards

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Questions and Answers

What is a numerical expression?

Contain a combination of numbers and operations such as addition, subtraction, multiplication, and division.

What does it mean to evaluate an expression?

Finding the numerical value.

What does the Order of Operation acronym PEMDAS stand for?

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

What is a variable in mathematics?

A placeholder for any value. Signup and view all the answers

What is an algebraic expression?

An expression like x+2 that contains sums and/or products of variables and numbers. Signup and view all the answers

What does it mean to define a variable?

Choosing a variable and a quantity for the variable to represent. Signup and view all the answers

What does addition mean?

Plus Signup and view all the answers

Which of the following is synonymous with subtraction?

Minus Signup and view all the answers

What does multiplication refer to?

Times Signup and view all the answers

Which of the following words refers to division?

Per Signup and view all the answers

What are properties in mathematics?

Statements that are true for any numbers. Signup and view all the answers

What is the Commutative Property of Addition?

The order in which numbers are added does not change the sum. Signup and view all the answers

What is the Commutative Property of Multiplication?

The order in which numbers are multiplied does not change the product. Signup and view all the answers

What does the Associative Property of Addition state?

The way in which numbers are grouped when added does not change the sum. Signup and view all the answers

What does the Associative Property of Multiplication state?

The way in which numbers are grouped when multiplied does not change the product. Signup and view all the answers

What is a counterexample?

An example that shows a conjecture is not true. Signup and view all the answers

What does it mean to simplify an expression?

To write the algebraic expression in a simpler form. Signup and view all the answers

What is the Additive Identity?

When 0 is added to any number, the sum is the number. Signup and view all the answers

What is the Multiplicative Identity?

When any number is multiplied by 1, the product is the number. Signup and view all the answers

What does the Multiplicative Property of Zero state?

When any number is multiplied by 0, the product is 0. Signup and view all the answers

Study Notes

Numerical Expressions

Composed of numbers and operations: addition, subtraction, multiplication, division.

Evaluation

The process of determining the numerical value of an expression.

Order of Operations

Follow PEMDAS to solve expressions:
- Parentheses first
- Exponents next
- Multiplication and Division from left to right
- Addition and Subtraction from left to right

Variables

Serve as placeholders representing any value in expressions.

Algebraic Expressions

Combinations of variables and numbers, e.g., x + 2.

Defining a Variable

Choosing a variable to represent a specific quantity in a verbal phrase. Common keywords:
- More than: (+)
- Decreased by: (-)
- And: (+)
- More than (multiplication): (x)
- Difference: (-)

Addition

Terms related to addition include: plus, sum, more than, increased by.

Subtraction

Terms related to subtraction include: minus, difference, less than, decreased by.

Multiplication

Terms associated with multiplication include: times, product, multiplied, each, of, factors.

Division

Terms related to division include: divided, quotient, per, rate, ratio, separate.

Properties of Numbers

Properties are universal statements true for all numbers.

Commutative Property of Addition

The sum remains the same regardless of the order of addends: a + b = b + a.

Commutative Property of Multiplication

The product remains unchanged regardless of the order of factors: a x b = b x a.

Associative Property of Addition

The grouping of addends does not affect their sum: (a + b) + c = a + (b + c).

Associative Property of Multiplication

The grouping of factors does not affect the product: (a x b) x c = a x (b x c).

Counterexample

An example used to demonstrate that a conjecture is false.

Simplification

The process of rewriting an algebraic expression in a more manageable form.

Additive Identity

Adding 0 to any number yields the number itself: a + 0 = a.

Multiplicative Identity

Multiplying any number by 1 yields the number itself: a x 1 = a.

Multiplicative Property of Zero

Any number multiplied by 0 equals 0: a x 0 = 0.

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Description

Test your knowledge of pre-algebra terms with these flashcards. Each card provides a key term relevant to pre-algebra, along with its definition. Perfect for students looking to reinforce their understanding of essential concepts!