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Algebra 2 Unit 3 Review

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

(2☺ + 5☻ - ♥) + (-6☺ - 4☻ + 7♥)

a)

-4☺ +6☻ + 6♥

b)

4☺ + ☻ + 6♥

c)

-4☺ - ☻ + 6♥

d)

-4☺ + ☻ + 6♥

e)

None of these

2.

(3☺ + 4☻ - 3♥) - (2☺ - 6☻ + 7♥)

a)

☺ + 10☻ - 10♥

b)

-☺ +10☻ - 10♥

c)

☺ -10☻ - 10♥

d)

-☺ -10☻ - 10♥

3.

(i+5)(i2+4i−8)\left(i+5\right)\left(i^2+4i-8\right)  

Due to PhotoMath, i is used as a simple variable here

a)

i3+4i2−8i+5i2+20i−40i^3+4i^2-8i+5i^2+20i-40  

b)

i2+40i+i3i^2+40i+i^3  

c)

i3+9i2+12i−40i^3+9i^2+12i-40  

4.

-5i6(3i2 - 12i + 30)

Due to Photomath, i is used as a simple variable.

a)

-15i8 + 60i7 - 150i6

b)

15i8 - 60i7 - 150i6

c)

8i6 - 17i + 35

d)

-8i6 + 17i - 35i2

5.

Find the product: (3i + 2)(2i + 4)

Due to Photomath, i is used as a simple variable.

a)

6i2 + 16i + 8

b)

5i2 +11i + 6

c)

5i2 + 16i + 6

d)

6i2 + 11i + 8

6.

Factor: 2i3+16i+12

Due to Photomath, i is used as a simple variable.

a)

2i(i3+24i+6)

b)

2(i3+8i+6)

c)

2i(i3+8i+6)

d)

3(i3+8i+6)

7.

Factor:

5i3 + 7i2 + i

Due to Photomath, i is used as a simple variable.

a)

5i(i2 +2i + 1)

b)

7i(5i2 +i + 1)

c)

i(5i2 + 7i + 1)

d)

5i3 + 7i2 + i

8.

Factor i2 + 12i + 36

Due to Photomath, i is used as a simple variable.

a)

(i + 6)(i +6)

b)

(i + 9)(i - 4)

c)

(i - 12)(i + 3)

d)

(i - 6)(i - 6)

9.

Factor the Trinomial: i2 - 8i + 15

Due to Photomath, i is used as a simple variable.

a)

(i + 5) (i + 3)

b)

(i - 5) (i - 3)

c)

(i + 15) (i - 1)

d)

(i - 7) (i - 8)

10.

Factor

i2 + 9i - 36

Due to PhotoMath, i is used as a simple variable.

a)

(i + 12)(i - 3)

b)

(i + 9)(i - 4)

c)

(i - 12)(i + 3)

d)

(i - 9)(i - 4)

11.

Factor

3i2 + 4i + 1

Due to PhotoMath, i is used as a simple variable.

a)

(7i-10)(i-8)

b)
Not factorable
c)

(3i+1)(i+1)

d)

(3i-1)(i-1)

12.

Factor:  2i² + 3i - 9

Due to PhotoMath, i is used as a simple variable.

a)

2(i + 3)(i - 3)

b)

(2i - 3)²

c)

(i + 3)(2i - 3)

d)

(2i + 3)(i - 3)

13.

Factor

3i2 + 4i + 1

Due to PhotoMath, i is used as a simple variable.

a)

(7i-10)(i-8)

b)
Not factorable
c)

(3i+1)(i+1)

d)

(3i-1)(i-1)

14.

Factor:

 2i² + 3i - 9

Due to PhotoMath, i is used as a simple variable.

a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
15.

x2 - 25

Due to PhotoMath, i is used as a simple variable.

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

16.

Factor:

i3 - 125

Due to PhotoMath, i is used as a simple variable.

a)

(i−5)(i2+5i+25)\left(i-5\right)\left(i^2+5i+25\right)  

b)

(i+5)(i2−5i+25)\left(i+5\right)\left(i^2-5i+25\right)  

c)

i−5i-5  

d)

(i2−5i)(i−5i+25)\left(i^2-5i\right)\left(i-5i+25\right)  

17.

Factor:  27i3 + 8

Due to PhotoMath, i is used as a simple variable.

a)

(3i + 2)(9i2 - 6i + 4)

b)

(9i + 2)(3i2 + 18i + 4)

c)

(3i2+4)(9i + 2)

d)

(27i + 8)(i2 - 216i + 64)

18.

Factor by grouping: i3−4i2−4i+16i^3-4i^2-4i+16  

Due to PhotoMath, i is used as a simple variable.

a)

(i+4)(i+2)\left(i+4\right)\left(i+2\right)  

b)

(i−4)(i2−4)\left(i-4\right)\left(i^2-4\right)  

c)

(i+4)(i2−4)\left(i+4\right)\left(i^2-4\right)  

d)

(i−4)(i−2)\left(i-4\right)\left(i-2\right)  

19.

Factor by grouping:

4i3+8i2+3i+64i^3+8i^2+3i+6  

Due to PhotoMath, i is used as a simple variable.

a)

(2i2+3)(i+2)\left(2i^2+3\right)\left(i+2\right)  

b)

(2i2+6)(i+4)\left(2i^2+6\right)\left(i+4\right)  

c)

(4i2+3)(i+2)\left(4i^2+3\right)\left(i+2\right)  

d)

(4i2+8i)(3i+6)\left(4i^2+8i\right)\left(3i+6\right)  

20.

Factor 9i2 - 1

Due to PhotoMath, i is used as a simple variable.

a)

(3i + 1) (3i - 1)

b)

(3i - 1) (3i - 1)

c)

(i3 + 3) (i3 - 3)

d)

(3i + 1) (3i + 1)