Factoring Guided Lesson and Practice CP

Factoring Gradual Practice Activity

Multiple Choice

Which number is a factor of 20?

• 5
• 3
• 6

Multiple Choice

Which number is a factor of 15

• 2
• 9
• 3

Multiple Choice

Which number is a factor of 100?

• 8
• 1
• 3

Multiple Choice

Which number is a factor of 4?

• 3
• 2
• 0

Multiple Choice

Which number is a factor of 35?

• 2
• 8
• 5

Multiple Choice

Which number is a factor of 16?

• 16
• 9
• 14

Multiple Choice

Which number is a factor of 19?

• 2
• 3
• 19

Multiple Choice

Which number is a factor of 8?

• 3
• 5
• 2

Multiple Choice

Which number is a factor of 10

• 3
• 4
• 5
• 8

Multiple Choice

Which is a NOT a factor of 9?

• 0
• 1
• 3
• 9

Multiple Choice

Is 3 a factor of 12?

• yes
• no

Multiple Choice

Which lists all the factors of 15?

• 1, 7, 8, 15
• 1, 15
• 1, 3, 5, 15
• 3, 5, 15

Multiple Choice

Which set lists all the factors of 24?

• 1, 2, 3, 6, 7, 12, 24
• 1, 2, 3, 4, 6, 8, 12, 24
• 1, 2, 3, 4, 5, 6, 8, 12, 24
• 1, 3, 4, 6, 8, 24

Multiple Choice

Which is not a factor of 18?

• 7
• 2
• 3
• 9

Multiple Choice

Which lists all the factors of 20?

• 1, 2, 4, 5, 10, 20
• 1, 2, 5, 10, 20
• 1, 4, 5, 20
• 1, 2, 10, 20

Multiple Choice

Which number has 2 and 3 as a factor?

• 14
• 16
• 18
• 20

Multiple Choice

What are the factors of 35?

• 1,35
• 5,7
• 1,3,5,7,35
• 1,5,7,35

Multiple Choice

The factor pairs of 15  are 1 and 15 and _______

• 2 and 7
• 3 and 6
• 3 and 5
• 3 and 4

Multiple Choice

Which factor of 12 is missing in the list of numbers? 1,2,3,4,___,12.

• 5

• 6

• 8

• 10

Multiple Choice

What are all of the factors to the product 16?

• 1, 2, 3, 4, 6, 12, 16
• 1, 2, 3, 6, 8, 16
• 2, 3, 4, 6
• 1, 2, 4, 8, 16

Now find the GREATEST common factor

Multiple Choice

What is the GCF of 18 and 24?

• 3

• 6

• 8

• 9

Multiple Choice

What is the GCF of 4 and 12?

• 3
• 1
• 6
• 4

Multiple Choice

What is the greatest factor of 28 and 49?

• 1
• 2
• 7
• 12

Multiple Choice

What is the GCF of 20 and 30?

• 5
• 2
• 10
• 20

Multiple Choice

What does GCF stand for?

• Good Cold Flu
• Gaussian Coefficient Formula
• Given Clear Function
• Greatest Common Factor

Multiple Choice

GCF of 28 and 40

• 2
• 4
• 7
• 8

Multiple Choice

Which of the choices is not a factor of 24?

• 2
• 3
• 4
• 5

Multiple Choice

What is the GCF of 20 and 30?

• 5
• 2
• 10
• 20

Multiple Choice

GCF of 15 and 35

• 15
• 3
• 7
• 5

Multiple Choice

Which number is not a factor of 24?

• 6
• 8
• 3
• 14

Multiple Choice

Which number is a factor of 6?

• 12
• 2
• 8
• 10

Multiple Choice

Which set of numbers show all the factors for 15?

• 7, 8
• 1, 15
• 1, 3, 5, 15
• 3, 5, 15

Multiple Choice

What is the greatest common factor of 6 and 21?

• 6
• 2
• 3
• 7

Multiple Choice

Find the GCF of

12m³ and 10m²

• 2m

• 4m²

• 2m²

• 2m³

Multiple Choice

What is the GCF? 3x+9

• x
• 3
• 9
• 3x

Multiple Choice

What is the GCF? 12x+8

• 12
• 8
• 4
• x

Multiple Choice

What is the GCF? -5x-25

• x
• 25
• -5
• -x

Multiple Choice

What is the GCF? 9x-7

• 9
• x
• 7
• 1

Multiple Choice

What is the GCF? 3x²-2x

• 3
• 3x
• x
• 2

Multiple Choice

What is the GCF? 3x²-2x

• 3
• 3x
• x
• 2

Multiple Choice

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

Multiple Choice

What is the GCF? 3x²-3x

• 3
• x
• 3x
• 1

Factor by GCF

Multiple Choice

Factor 4x - 20

• 4(x -5)
• 4(x + 5)
• 4x(1 - 5)
• 4x(1 + 5)

Multiple Choice

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Multiple Choice

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Factoring Basic Trinomials

Multiple Choice

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Multiple Choice

Factor
x²+12x+35

• (x+5)(x+7)
• (x+4)(x+3)
• (x+7)(x-5)
• Prime

Multiple Choice

Factor
d² - 10d + 25

• (d + 5) (d - 5)
• (d - 15) (d + 10)
• (d + 5) (d - 20)
• (d - 5) (d - 5)

Multiple Choice

Factor
x² + 4x + 3

• (x - 1)(x - 3)
• (x + 1)(x + 3)
• (x - 1)(x + 3)
• (x + 1)(x - 3)

Multiple Choice

Factor
k²+7k+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Multiple Choice

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Multiple Choice

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor Anything...

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Multiple Choice

Factor
2x² - 13x - 70

• (2x-7)(x+10)
• (7x+5)(x+2)
• (2x+7)(x-10)
• 2(x+7)(x+10)

Special Case:
Difference of Perfect Squares

Multiple Choice

Identify a perfect squares.

• 2
• 4
• 6
• 11

Multiple Choice

Identify a perfect square.

• 3
• 16
• 24
• 12

Multiple Choice

Identify a perfect square.

• 36
• 15
• 14
• 33

Multiple Choice

Idtify a perfect square.

• x
• x³
• x²
• 2x

Multiple Choice

Identify a perfect square.

• 2x
• x¹
• x⁴
• x³

Multiple Choice

Perfect squares have exponents that are even?

• True
• False

Multiple Choice

Which of the following is an example of a difference of perfect squares?

• x²-4
• x²-3
• x²-14
• x²-24

Multiple Choice

Which of the following is an example of a difference of perfect squares?

• 4x²-14
• 4x²-12
• 4x²-25
• 4x²-2

Multiple Choice

x² - 16

• (x + 4) (x - 4)

• (x + 8) (x - 2)

• (x + 4)²

• x + 4(x - 4)

Multiple Choice

x² - 9

• (x + 3)²

• (x + 3) (x - 3)

• (x - 3)²

• x + 3(x - 3)

Multiple Choice

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Multiple Choice

25x² - 36y²

• 5x + 6y(5x - 6y)

• (5x + 6y) (5x - 6y)

• (5x + 6y)²

• (5x - 6y)²