Expressions and The Distributive Property

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you represent 'Divide 18 by X' in algebraic form?

Back

18 ÷ X

Front

How do you represent 'Find A times as much as 16' in algebraic form?

Back

16 × A

Front

What is the algebraic expression for Elena's car rental cost for 3 days and m miles?

Back

3(35) + 0.10m

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value (like 5 or -3).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

How do you represent 'Divide 4 by G' in algebraic form?

Back

4 ÷ G

Front

What is the purpose of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first in an expression.