Simplifying Expressions Review

Front

What is the difference between two expressions?

Back

The difference is found by subtracting one expression from another.

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 eliminating parentheses.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

How do you factor an expression?

Back

Factoring an expression involves rewriting it as a product of its factors, often by finding the greatest common factor.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in simplifying (8 - u) - (5u + 1)?

Back

The first step is to distribute the negative sign across the second expression: (8 - u) - 5u - 1.

Front

What is the result of simplifying 5x - 30?

Back

The expression can be factored as 5(x - 6).

Front

How do you apply the Distributive Property to -2(-3 + 4y)?

Back

You multiply -2 by each term inside the parentheses: -2 * -3 + -2 * 4y = 6 - 8y.

Front

What is the result of factoring 4x + 30y?

Back

The expression can be factored as 2(2x + 15y).

Front

What is the process to find the difference of two expressions?

Back

To find the difference, subtract the second expression from the first, combining like terms if necessary.