Free Printable Hon IM1 -- Unit N Practice Test Factorpalooza

1.

Find the GCF of $18a^2b^4c+24ab^3c^2$ .

a)

$6ab^3c$

b)

$3abc$

c)

$6ab^4c$

d)

$2ab^3c$

2.

Factor completely:
$-8x^2y^2+32yz+40y$

a)

$-8z\left(x^2-4yz-5y\right)$

b)

$8y\left(-4x^2y^2+16yz+20y\right)$

c)

$-8y\left(x^2y-4z-5\right)$

d)

$-8\left(x^2y^2-4yz+5y\right)$

3.

Decide if $\left(x-3\right)$ is a factor of $x^3+9x^2-x-3$

a)

Yes, it is a factor

b)

No, it is not a factor

4.

If $7r^3-8r^2+42r-48$ is factored completely, one of the factors is:

a)

$\left(r^2-6\right)$

b)

$\left(r^2+6\right)$

c)

$\left(7r+8\right)$

d)

$\left(7r^2+6\right)$

5.

If $x^3+7x^2-2x-14$ is factored completely, one of the factors is:

a)

$\left(-2x-7\right)$

b)

$\left(x-7\right)$

c)

$\left(x^2+2\right)$

d)

$\left(x^2-2\right)$

6.

True or False:

$8xy+28-4x-56y$ factors completely to $\left(4x-28\right)\left(2y-1\right)$

a)

True

b)

False

7.

A pair of values has a product of -27 and a sum of -6. What is the greater of the two factors?

(a)

8.

If $x^2+4x+3$ is factored completely. one of the factors is:

a)

$\left(x-3\right)$

b)

$\left(x+1\right)$

c)

$\left(x+4\right)$

d)

$\left(x-1\right)$

9.

Which of the following is a factor of $x^2-10x+24$ ?

a)

$\left(x-4\right)$

b)

$\left(x+4\right)$

c)

$\left(x+6\right)$

d)

$\left(x-2\right)$

10.

Which of the following is a factor of $x^2+7x-30$ ?

a)

$\left(x+2\right)$

b)

$\left(x+5\right)$

c)

$\left(x-10\right)$

d)

$\left(x-3\right)$

11.

If $a^2-ab-12b^2$ is factored completely, one of the binomial factors is:

a)

$\left(a-4b\right)$

b)

$\left(a-6b\right)$

c)

$\left(a-3b\right)$

d)

$\left(a+2b\right)$

12.

If $2x^2-3x-2$ is factored completely, one of the factors is:

a)

$\left(2x-2\right)$

b)

$\left(2x+1\right)$

c)

$\left(x+2\right)$

d)

$\left(x-1\right)$

13.

Factor completely: $3x^2+10x-8$

Do not type any spaces in the answer!

(a)

14.

Factor completely: $5x^2+13x-28$
Do not type any spaces in your answer!

(a)

15.

Factor completely: $4x^2-25x+25$

Do not type any spaces in your answer!

(a)

16.

If $9x^2-6x-8$ is factored completely, one of the factors is:

a)

$\left(3x+2\right)$

b)

$\left(3x+4\right)$

c)

$\left(3x-2\right)$

d)

$\left(9x+8\right)$

17.

True or False: $100x^2-180x-81$ is a difference of perfect squares that factors to: $\left(10x-9\right)\left(10x+9\right)$

a)

True

b)

False

18.

Factor: $16x^2-49$

a)

$\left(4x-7\right)^2$

b)

$\left(4x-7\right)\left(4x+7\right)$

c)

$\left(7-4x\right)^2$

d)

$\left(7x-4\right)\left(7x+4\right)$

19.

Factor the trinomial: $9m^2+30mn+25n^2$

a)

$\left(3m+5n\right)^2$

b)

$\left(3m-5n\right)\left(3m+5n\right)$

c)

$\left(3m-5n\right)^2$

d)

$3\left(m+5n\right)^2$

20.

If $3x^2+3x-60$ is factored completely, one of the factors is:

a)

$\left(x-4\right)$

b)

$\left(x-5\right)$

c)

$\left(3x+5\right)$

d)

$\left(3x-12\right)$

21.

Factor completely: $14p^2+108p-32$

Do not type any spaces in your answer!

(a)

22.

Factor Completely: $30n^3+20n^2+10n$

a)

The expression is fully factored

b)

$10n\left(3n^2+2n+1\right)$

c)

$10\left(3n+1\right)\left(n+1\right)$

d)

$n\left(30n+10\right)\left(n-1\right)$

23.

True or False: $7x^2+8x-16$ is prime

a)

True

b)

False

24.

A rectangular area of a beach is given as $\left(7x^2+60x+32\right)ft^2$

Which expression represents the longer of the two sides of the rectangular area?

a)

$\left(7x+4\right)ft$

b)

$\left(x+16\right)ft$

c)

$\left(x+8\right)ft$

d)

$\left(7x+2\right)ft$

25.

The volume of a rectangular prism is given as $\left(6x^3+96x^2+360x\right)$ cubic inches. What is one possible expression for the height of the prism?

a)

$\left(x+10\right)inches$

b)

$\left(x-6\right)inches$

c)

$x\ inches$

d)

$\left(x+20\right)inches$

Hon IM1 -- Unit N Practice Test Factorpalooza

Total questions: 25

Worksheet time: 44mins

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