Properties and Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does it mean to write an expression for a situation?

Back

Writing an expression for a situation involves translating a word problem or real-life scenario into a mathematical expression using variables and constants.

Front

How do you represent a fixed cost in an expression?

Back

A fixed cost in an expression is represented as a constant term that does not change regardless of the variable's value.

Front

What is the variable in the expression 33 + 4m?

Back

In the expression 33 + 4m, 'm' is the variable that represents the number of miles driven.

Front

How do you express 'twice a number' in algebraic terms?

Back

'Twice a number' can be expressed as 2 times the variable representing that number, such as 2p if 'p' is the number.

Front

What does 'more than' indicate in an expression?

Back

'More than' indicates addition in an expression. For example, '6 more than x' is expressed as x + 6.

Front

How do you express a quotient in algebra?

Back

A quotient is expressed using a fraction. For example, 'the quotient of 24 and x' is written as 24/x.

Front

What is the product of two variables?

Back

The product of two variables is expressed by multiplying them together, such as 4c, where 4 is multiplied by the variable c.

Front

What is the difference between a constant and a variable in an expression?

Back

A constant is a fixed value that does not change, while a variable is a symbol that represents an unknown value and can change.

Front

How do you write an expression for a situation involving a variable?

Back

To write an expression for a situation involving a variable, identify the quantities involved, assign variables to unknowns, and use mathematical operations to represent relationships.