distributive property and factoring

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the distributive property to the expression 6(7k + 11)?

Back

By applying the distributive property, you multiply 6 by both 7k and 11, resulting in 42k + 66.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor the expression -8x - 10 using GCF?

Back

The GCF of -8 and -10 is -2. Factoring out -2 gives -2(4x + 5).

Front

What is the result of factoring 3x + 27?

Back

Factoring out the GCF, which is 3, gives 3(x + 9).

Front

What is the result of applying the distributive property to 4(8n + 2)?

Back

Applying the distributive property results in 32n + 8.

Front

What is the purpose of factoring in algebra?

Back

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

Front

What is the first step in factoring an expression?

Back

The first step is to identify the GCF of all terms in the expression.

Front

How can you check if your factoring is correct?

Back

You can check by multiplying the factors back together to see if you obtain the original expression.

Front

What is the result of distributing 3 in the expression 3(4 + 3r)?

Back

Distributing 3 results in 12 + 9r.