Simplifying Expressions/Distributive Property

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

How do you simplify the expression 3 - 2a + 3a + 5a?

Back

Combine like terms: 3 + (-2a + 3a + 5a) = 3 + 6a = 6a + 3.

Front

What is the result of applying the Distributive Property to 5(a + 6)?

Back

5(a + 6) = 5a + 30.

Front

How do you simplify the expression -3a – 5a + 4?

Back

Combine like terms: -3a - 5a + 4 = -8a + 4.

Front

What is the simplified form of 4x – 3 – 5x - 9?

Back

Combine like terms: 4x - 5x - 3 - 9 = -x - 12.

Front

How do you evaluate the expression b^3 + (-4) when b = -3?

Back

Substitute -3 for b: (-3)^3 + (-4) = -27 - 4 = -31.

Front

What are like terms in an 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

Identify and combine like terms.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting variables with numbers.

Front

What is the result of combining the like terms 2x + 3x - 4x?

Back

2x + 3x - 4x = 1x or simply x.