Distributing and Combining

Front

What is the distributive property in algebra?

Back

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

Front

How do you simplify an expression with like terms?

Back

Combine like terms by adding or subtracting their coefficients while keeping the variable part the same.

Front

What is the result of applying the distributive property to -3(2c - 5)?

Back

-6c + 15.

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

Combine like terms to get -13x + 17.

Front

What is the result of applying the distributive property to -4(-4d - 5)?

Back

16d + 20.

Front

How do you simplify the expression 7 + 3(1 - 2x)?

Back

Distribute 3 to get 7 + 3 - 6x, which simplifies to 10 - 6x.

Front

What is the result of simplifying -6x + 4(-x - 3)?

Back

-10x - 12.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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 the first step in simplifying an expression?

Back

Identify and combine like terms.