Algebraic Expressions, Distributive Property

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operation symbols (like +, -, *, /).

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

Evaluate the expression 3x² + y for x = -2 and y = 3.

Back

15

Front

Use the distributive property to simplify 6(x - 5).

Back

6x - 30

Front

Use the distributive property to simplify -4(x - 3).

Back

-4x + 12

Front

Simplify the expression 2x + 3(4x + 3).

Back

14x + 9

Front

Use the distributive property to simplify 3(x - 9).

Back

3x - 27

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as the number 5 in the expression 3x + 5.