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 3(2 + x) + 6x - 4?

Back

First, apply the distributive property: 3*2 + 3*x + 6x - 4 = 6 + 3x + 6x - 4 = 9x + 2.

Front

What is the result of simplifying ½(4x - 10)?

Back

Using the distributive property, ½*4x - ½*10 = 2x - 5.

Front

How do you combine like terms in the expression r + 10r?

Back

Combine the coefficients of like terms: 1r + 10r = 11r.

Front

What is the result of simplifying -4(-4d - 5)?

Back

Distributing -4 gives: 16d + 20.

Front

How do you simplify the expression -5(y - 6) + 4?

Back

Distributing -5 gives: -5y + 30 + 4 = -5y + 34.

Front

What are like terms in algebra?

Back

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

Front

What is the process of combining like terms?

Back

Add or subtract the coefficients of like terms while keeping the variable part unchanged.

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 importance of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first, affecting the outcome of the expression.