Simplifying Algebraic Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 5(x + 2) + 2x

Back

7x + 10

Front

Use the distributive property to simplify the expression: 5(a + 6)

Back

5a + 30

Front

What are like terms in algebra?

Back

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

Front

Simplify the expression by combining like terms: 9x² + 14x - x² + 6x

Back

8x² + 20x

Front

What does it mean to simplify an algebraic expression?

Back

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

Front

Simplify the expression: 6(2a + 5b) + 3(a - 8b)

Back

15a + 6b

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: (4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

Back

11a³ - 4a² - 14a - 7