Simplifying Expressions - Module 2 Lesson 2 Prep Review

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 5(2 - 7n)?

Back

To simplify 5(2 - 7n), apply the distributive property: 5 * 2 - 5 * 7n = 10 - 35n.

Front

What is the process for combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

Simplify the expression 4a + 9 + a.

Back

Combine like terms: 4a + a = 5a, so the simplified expression is 5a + 9.

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

How do you simplify the expression 5x - 6x - 8x + 7?

Back

Combine like terms: (5x - 6x - 8x) + 7 = -9x + 7.

Front

What is the result of simplifying the expression 7 + 3(1 - 2x)?

Back

Apply the distributive property: 7 + 3 * 1 - 3 * 2x = 7 + 3 - 6x = 10 - 6x.

Front

How do you simplify the expression 6(x + -2)?

Back

Distribute 6: 6 * x + 6 * -2 = 6x - 12.

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 importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations and understand relationships between variables.