Free Printable Alg Review 8.5

1.

What is the GCF?
$28p^3+16p^2+16p$

a)

$2p$

b)

$4p$

c)

$4p^2$

d)

$8p^{2\ }$

2.

Factor completely:
$6a^2+48a-54$

a)

$\left(a-1\right)\left(a+9\right)$

b)

$6\left(a-1\right)\left(a+9\right)$

c)

$\left(6a-6\right)\left(a+9\right)$

d)

$\left(a-1\right)\left(6a-54\right)$

3.

Factor completely
$2p^2-34p+144$

a)

4p(p-4)

b)

(p-8)(p+10)

c)

2(p-8)(p-9)

d)

2(p-8)(p+9)

4.

Factor completely:
$r^2+r-6$

a)

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

b)

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

c)

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

d)

$\left(r-2\right)\left(r+3\right)$

5.

Factor completely:
$2p^2-9p-18$

a)

$\left(7p+4\right)\left(p+10\right)$

b)

$\left(2p+3\right)\left(p+6\right)$

c)

$\left(2p+3\right)\left(p-6\right)$

d)

$\left(7p+8\right)\left(p+6\right)$

6.

Factor completely:
$x^2-7x+12$

a)

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

b)

$\left(x-2\right)\left(x-6\right)$

c)

$\left(x-1\right)\left(x-12\right)$

d)

$\left(x-5\right)\left(x-2\right)$

7.

Factor completely:
$7x^2-4x-3$

a)

$7\left(x+3\right)\left(x+1\right)$

b)

$\left(x+3\right)\left(7x-1\right)$

c)

$\left(7x+3\right)\left(x+1\right)$

d)

$\left(7x+3\right)\left(x-1\right)$

8.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

9.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

10.

What is the factored form of 4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

11.

Is factoring fun?

a)

YES

b)

NO

c)

NO

d)

NO

12.

Which of the following is a perfect square trinomial?

a)

x² – 4x – 4

b)

x² – 6x – 9

c)

x² + 6x – 9

d)

x² – 4x + 4

13.

Which of the following is a perfect square trinomial?

a)

x² + 14x – 49

b)

x² + 20x + 100

c)

x² – 8x + 4

d)

x² – 5x + 6

14.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

15.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

16.

Is the polynomial a difference of squares and if it is factor the polynomial.

d² - 36

a)

Is not a difference of squares

b)

Is a difference of squares;

(d + 6)(d - 6)

c)

Is a difference of squares; (d - 6)²

d)

Is a difference of squares;

(d + 18)(d - 18)

17.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

18.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

19.

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

Alg Review 8.5 - 8.8 (W 2/17)

Total questions: 19

Worksheet time: 5hrs 45mins

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