Grouping

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 -2(3m + 9)?

Back

By applying the distributive property, you get -2 * 3m + -2 * 9 = -6m - 18.

Front

What is the result of applying the distributive property to 8(4b - 5)?

Back

The result is 8 * 4b + 8 * -5 = 32b - 40.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often simplifying the expression.

Front

How do you simplify the expression 2(3v - 8)?

Back

By using the distributive property, you get 2 * 3v + 2 * -8 = 6v - 16.

Front

What is the equivalent expression for 8(2x + 7)?

Back

The equivalent expression is 8 * 2x + 8 * 7 = 16x + 56.

Front

How do you simplify the expression 3(2x + 6)?

Back

Using the distributive property, you get 3 * 2x + 3 * 6 = 6x + 18.

Front

What is an equivalent expression?

Back

An equivalent expression is a different expression that has the same value for all values of the variable.

Front

What is the importance of grouping in algebra?

Back

Grouping helps in organizing terms to simplify expressions and solve equations more easily.

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.