Factoring and Distributive Property 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 find the greatest common factor (GCF) of a set of numbers?

Back

To find the GCF, list the factors of each number, identify the common factors, and choose the largest one.

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How do you factor an expression like 16x + 32?

Back

To factor 16x + 32, identify the GCF, which is 16, and rewrite the expression as 16(x + 2).

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the result of applying the distributive property to 5(a + 6)?

Back

Applying the distributive property gives 5a + 30.

Front

How can you represent a situation with groups in algebraic expressions?

Back

You can represent groups by multiplying the number of groups by the sum of the quantities in each group.

Front

What is the factored form of 8x - 10?

Back

The factored form of 8x - 10 is 2(4x - 5).

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

How do you apply the distributive property to simplify expressions?

Back

To simplify using the distributive property, multiply the term outside the parentheses by each term inside the parentheses.