Free Printable Grade 8 (Quiz: Factoring Lesson 1&2)

1.

Which of the following is the GCF of

14x^3\ and\ \ 21x^2?

a)

$14x^2$

b)

$7x^2$

c)

$7x^3$

d)

$14x^3$

2.

Which of the following is a difference of two squares?

a)

$12x^2-16y^2$

b)

$8a^4-4b^2$

c)

$9x^4-25y^2$

d)

$14x^2-36y^4$

3.

Which of the following shows a Sum of two cubes?

a)

$9a^3+27b^3$

b)

$8v^6+125w^9$

c)

$12c^2+18d^3$

d)

$27g^6+64h^5$

4.

Which of the following shows a Difference of two cubes?

a)

$8a^3-27b^3$

b)

$8v^6-125w^{14}$

c)

$12c^2-18d^3$

d)

$27g^6-64h^5$

5.

Factor Completely:

12a^2+16ab^2

a)

$4a\left(3a+4b^2\right)$

b)

$4a\ \left(3a^2+4b\right)$

c)

$6a\left(3a^2+4b^2\right)$

d)

$6a\left(3a+4b^2\right)$

6.

What are the factors of

81x^2y^4-16z^6

a)

$\left(9xy^2-4z^3\right)\left(9xy^2+4z^3\right)$

b)

$\left(9xy-4z\right)\left(9xy+4z\right)$

c)

$\left(9x^2y^2+4z^3\right)\left(9x^2y^2-4z^3\right)$

d)

$none\ of\ the\ above$

7.

Factor Completely:

8d^3e^6+27f^{12}

a)

$\left(2de^2-3f^4\right)\left(4d^2e^4+6de^2f^4+9f^8\right)$

b)

$\left(2de^2+3f^4\right)\left(4d^2e^4-6de^2f^4+9f^8\right)$

c)

$\left(4de+9f^6\right)\left(2de^2-36def^6+81f^{12}\right)$

d)

$\left(4d^2e^3-9f^6\right)\left(2de^3+36def+9f^6\right)$

8.

Which of the following would result to:

a^6+b^9

?

a)

$\left(a^2+b^3\right)\left(a^4-a^2b^3+b^6\right)$

b)

$\left(a^2-b^3\right)\left(a^4+a^2b^3+b^6\right)$

c)

$\left(a^2+b^3\right)\left(a^2-b^3\right)$

d)

$\left(a^3+b^9\right)\left(a^3-b^9\right)$

9.

What is the GCF of:

12x^2\left(5y-3\right)^4and\ \ \ 16x^4\left(5y-3\right)^3

a)

$4x^4\left(5y-3\right)^4$

b)

$4x^2\left(5y-3\right)^4$

c)

$4x^2\left(5y-3\right)^3$

d)

$4x^{ }\left(5y-3\right)$

10.

Which of the following is a prime number?

a)

1

b)

9

c)

13

d)

15

Grade 8 (Quiz: Factoring Lesson 1&2)

Total questions: 10

Worksheet time: 9mins

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