Distributive Property

Front

What is the Distributive Property?

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

Apply the Distributive Property: 3(2 + 4)

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

Solve for x: -52 = -2x + 5(-x + 5)

Back

x = 11.

Front

Simplify using the Distributive Property: 3(2c - 5)

Back

3(2c - 5) = 6c - 15.

Front

Simplify: 6(x + 1) - 5(x + 2)

Back

6(x + 1) - 5(x + 2) = x - 4.

Front

Solve for x: -6x - 6(-3x + 3) = 114

Back

x = 11.

Front

Distributive Property Example: 7a(3b - 2c + 4)

Back

7a(3b - 2c + 4) = 21ab - 14ac + 28a.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a 'variable' in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is an 'expression' in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like + and -) that represents a value.