Algebra Chapter 1: Expressions Quiz

Questions and Answers

What is the definition of Numerical Expressions?

A mathematical phrase made up of numbers and operations. (correct)

An expression that contains at least one variable.

A rule for evaluating expressions.

Is the property that you can add and multiply numbers in any order.

The Order of Operations is a rule for evaluating expressions.

True

What does the Commutative Property state?

You can add and multiply numbers in any order. (correct)

A value that does not change.

You can group the numbers together in any combination.

The sum of 0 and any number is the number.

What is the Associative Property?

You can group the numbers together in any combination when adding or multiplying. Signup and view all the answers

The Identity Property states that the sum of 0 and any number is the number.

True Signup and view all the answers

What does the Distributive Property entail?

If you multiply a sum by a number, you will get the same result as multiplying each addend by that number and then adding the products. Signup and view all the answers

What is a Variable?

A letter that represents a number that can vary. Signup and view all the answers

What is a Constant?

A value that does not change. Signup and view all the answers

What is an Algebraic Expression?

An expression that contains at least one variable. Signup and view all the answers

What does it mean to Evaluate an expression?

To find the value of a numerical or algebraic expression. Signup and view all the answers

What is a Term in an expression?

The parts of an expression that are added or subtracted. Signup and view all the answers

What is a Coefficient?

A number that is multiplied by a variable in an algebraic expression. Signup and view all the answers

Study Notes

Algebraic Expressions Study Notes

Numerical Expressions: Composed of numbers and operations, representing a mathematical phrase.
Order of Operations: A systematic rule used for evaluating mathematical expressions to ensure consistent results.
Commutative Property: Permits the rearrangement of numbers in addition or multiplication without affecting the outcome.
Associative Property: Allows the regrouping of numbers in addition or multiplication, facilitating various combinations for calculations.
Identity Property: States that adding 0 to any number leaves it unchanged, and multiplying any number by 1 also keeps it the same.
Distributive Property: Involves distributing a multiplier to each addend within a sum, ensuring equivalent results when applying multiplication.
Variable: A symbol, typically a letter, that stands in for an unknown number, allowing for flexible expression in algebra.
Constant: A fixed value that remains unchanged regardless of other variables in an expression.
Algebraic Expression: A mathematical statement incorporating at least one variable, demonstrating relationships between numbers and operations.
Evaluate: The process of determining the numerical value of an expression by substituting variables with numbers and performing calculations.
Term: Indicates distinct elements within an expression that are either added or subtracted; can consist of numbers, variables, or their products.
Coefficient: Refers to the numerical factor that multiplies a variable in an algebraic expression, influencing the term's value directly.

Description

Test your knowledge on the basics of algebraic expressions with these flashcards. This quiz covers key concepts such as numerical expressions, order of operations, and properties like commutative and associative. Perfect for students looking to reinforce their understanding of fundamental algebra principles.