Simplifying Expressions

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 the expression -9(-3 + 5v)?

Back

To simplify, apply the distributive property: -9 * -3 + (-9 * 5v) = 27 - 45v.

Front

What is the result of simplifying -2(3y - 5)?

Back

Using the distributive property, -2 * 3y + (-2 * -5) = -6y + 10.

Front

How do you combine like terms in the expression 4a + 9 + a?

Back

Combine like terms (4a and a) to get 5a + 9.

Front

What is the simplified form of the expression 9z - 21 - 3z + 10?

Back

Combine like terms: (9z - 3z) + (-21 + 10) = 6z - 11.

Front

How do you simplify the expression 5(2 - 7n)?

Back

Apply the distributive property: 5 * 2 + 5 * -7n = 10 - 35n.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

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 combining the like terms 3x + 4x - 2?

Back

Combine 3x and 4x to get 7x, resulting in 7x - 2.