Numeric and Algebraic Expressions

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does a Factor Tree represent?

Back

A Factor Tree is a diagram that shows the prime factorization of a number, breaking it down into its prime factors.

Front

How do you express 'x cubed less than 7' in algebraic form?

Back

The expression is 7 - x^3.

Front

What are the terms that mean 'exponent'?

Back

Cubed, squared, power.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression according to the order of operations.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.