Simplying Algebraic Expressions

Front

What is the Distributive Property?

Back

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

Front

Factor the expression: 8x + 40

Back

8(x + 5)

Front

Use the Distributive Property to simplify: -9(x - 5)

Back

-9x + 45

Front

Simplify the expression: (10x + 2) - (8x - 4)

Back

2x + 6

Front

What are 'like terms'?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Can you simplify 3x + 7?

Back

No, you can't add them because they are not 'like terms.'

Front

What is the result of combining like terms: n - 10 + 9n - 3?

Back

10n - 13

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the first step in simplifying the expression: 5x + 3x - 2?

Back

Combine like terms: 5x + 3x = 8x, so the expression simplifies to 8x - 2.

Front

What is the result of the expression: 4(2x + 3)?

Back

8x + 12 (using the Distributive Property).