Factoring Fundamentals in 7th Grade Math

What is the first step in factoring an expression like 2x + 6?

• Identify the terms inside the parentheses

• Divide each term by the greatest common factor

• Find the least common factor

• Determine the greatest common factor

How do you check if you have factored an expression correctly?

• By adding the factors

• By redistributing to get the original expression

• By subtracting the factors

• By dividing the original expression

What is the greatest common factor of 9x and 12x?

• 12x

• 3

• 9x

• 3x

After factoring 9x + 12x, what expression do you get?

• x(9 + 12)

• 3x(x + 4)

• 3x(3 + 4)

• 9x + 12

What is the greatest common factor used to factor 12 and 18y?

• 6y

• 6

• 3

• 2

What expression results from factoring 12 + 18y?

• 2(6 + 9y)

• 12 + 18y

• 6(2 + 3y)

• 3(4 + 6y)

How is 21t - 36 factored?

• 3(7t - 12)

• 7(3t - 6)

• 3(17 - 12)

• 6(3.5t - 6)

Why is the expression 11x + 3 considered not factorable?

• Because it can be divided by 11

• Because it only has a common factor of 1

• Because it is already in its simplest form

• Because it does not contain any variables

What is the purpose of finding the greatest common factor in factoring?

• To rewrite the expression outside the parentheses

• To identify the terms inside the parentheses

• To divide the expression by the smallest number possible

• To simplify the expression to its highest terms

What should you do after factoring an expression to ensure it is correct?

• Subtract the greatest common factor

• Divide by the greatest common factor again

• Multiply the factors

• Redistribute and compare with the original expression