Combining Like Terms and Distributive Property 2

Front

What does it mean to combine like terms in algebra?

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 the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify: 5(1 + 9b)

Back

45b + 5

Front

Simplify: -7(r + 10) - 3(1 - 5r)

Back

8r - 73

Front

Simplify: -9(-7n - 9) - 6n

Back

57n + 81

Front

Simplify: 3(x - 1) - (4 + 7x)

Back

-4x - 7

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 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 applying the distributive property.

Front

What is the result of distributing -2 in the expression -2(4 + 2a)?

Back

-4 - 4a