DLD: Excluded Values and Factoring Practice

• GCF

• Difference of Squares

• X-factor

Answer explanation

The expression x^2 - 36 is a difference of squares, as it can be factored into (x - 6)(x + 6). This method simplifies the expression effectively, making 'Difference of Squares' the correct choice.

Tags

CCSS.HSA.APR.C.4

• GCF

• Difference of Squares

• X-factor

• Simplified

Answer explanation

The expression x + 7 is already in its simplest form, as it cannot be factored or reduced further. Therefore, the correct choice is 'Simplified'.

Tags

CCSS.7.EE.A.1

• GCF

• Difference of Squares

• X-factor

Answer explanation

To simplify the expression x^2 - 2x - 3, we can factor it using the X-factor method. This involves finding two numbers that multiply to -3 and add to -2, which are -3 and 1. Thus, the expression factors to (x-3)(x+1).

• GCF

• Difference of Squares

• X-factor

Answer explanation

To simplify the expression 7x + 21, we can factor out the greatest common factor (GCF), which is 7. This gives us 7(x + 3). Thus, the correct method to simplify this expression is using the GCF.

Tags

CCSS.7.EE.A.1

• GCF

• Difference of Squares

• X-factor

• Simplified

Answer explanation

To simplify the expression 4(x+2), distribute the 4 to both terms inside the parentheses. This results in 4x + 8, which is a simplified form. Therefore, the correct choice is 'Simplified'.

Tags

CCSS.6.EE.A.3

• GCF

• Difference of Squares

• X-factor

Answer explanation

To simplify the expression x^2 + 8x - 12, we can factor it using the X-factor method. This involves finding two numbers that multiply to -12 and add to 8, which are 10 and -2. Thus, the expression factors to (x + 10)(x - 2).

• GCF

• Difference of Squares

• X-factor

• Simplified

Answer explanation

To simplify the expression 8x - 24, we can factor out the greatest common factor (GCF), which is 8. This gives us 8(x - 3). Thus, the correct choice is GCF.

Tags

CCSS.7.EE.A.1

• GCF

• Difference of Squares

• X-factor

• Simplified

Answer explanation

The expression x^2 - 25 is a difference of squares, which can be factored as (x - 5)(x + 5). This method simplifies the expression effectively, making 'Difference of Squares' the correct choice.

Tags

CCSS.HSA.APR.C.4

• 2(x + 8)

• 2(x + 4)

• 2(x - 4)

• 4(x + 2)

Answer explanation

To simplify 2x + 8, factor out the GCF, which is 2. This gives us 2(x + 4). The correct choice is 2(x + 4).

Tags

CCSS.7.EE.A.1

• 6(x + 3)

• 3(x + 6)

• 6(x - 18)

• 6(x - 3)

Answer explanation

To simplify 6x - 18, factor out the GCF, which is 6. This gives us 6(x - 3). However, the correct answer is 3(x + 6), indicating a mistake in the choices. The correct factorization should be 3(2x - 6).

Tags

CCSS.7.EE.A.1