Free Printable Unit 5 Review

1.

$\sqrt{-49}$ Simplify

a)

-7

b)

7

c)

-7i

d)

7i

2.

$2+\sqrt{-5}$ Simplify

a)

2-5i

b)

$2+i\sqrt{5}$

c)

2+5i

d)

$2-i\sqrt{5}$

3.

$12i+3i-17i$ Simplify

a)

-2i

b)

2i

c)

-2

d)

$-2i^2$

4.

Simplify (-4+3i) - (7-5i)

a)

3-2i

b)

-11-2i

c)

3+8i

d)

-11+8i

5.

Simplify 16i + 4i

a)

20i

b)

20i²

c)

-20

d)

-20i

6.

Find the complex conjugate of -7+4i

a)

-7+4i

b)

-7-4i

c)

7+4i

d)

7-4i

7.

Similify -2(5i)

a)

10i

b)

10

c)

-10i

d)

-10

8.

Simplify $8i\ \times5i$

a)

40i

b)

40

c)

-40

d)

13i

9.

$-3i\ \left(2+7i\right)$ Simplify, write in a + bi

a)

-21-6i

b)

-6-21i

c)

-27i

d)

21-6i

10.

$x^2=-16$ Use square roots to solve

a)

x = 4i , x= -4i

b)

x = 4i only

c)

x = 4 , x = -4

d)

x = -4 only

11.

$x^2+169=0$ Solve using square roots

a)

x = 13 only

b)

x = 13i only

c)

x = 13i , x = -13i

d)

x = 13 , x = -13

12.

$\frac{2+5i}{4-3i}$ Simplify and leave in the form a + bi

a)

$\frac{23}{7}-\frac{7}{12}i$

b)

$-\frac{7}{25}+\frac{26}{25}i$

c)

$\frac{23}{7}+2i$

d)

$\frac{7}{25}-\frac{26}{25}i$

13.

$x^2-20x+_{---}$ Find the number that makes the polynomial a perfect-square trinomial

a)

400

b)

10

c)

200

d)

100

14.

$x^2+7x+_{---}$ Find the number that makes the polynomial a perfect-square trinomial

a)

49

b)

$\frac{49}{4}$

c)

$\frac{49}{2}$

d)

$\frac{7}{4}$

15.

$x^2+6x-55=0$ Solve the equation by completing the square

a)

x = 5 , -11

b)

x = 5

c)

$x=\ i\sqrt{55},\ -i\sqrt{55}$

d)

x = -11

16.

$4x^2-16x+16=144$ Solve

a)

x = 4 , -8

b)

x = 16 , -8

c)

x = 8 , -4

d)

x = -16 , 8

17.

$3x^2-10x+21$ Find the number of solutions by finding the discriminant

a)

2 real solutions

b)

1 real solution

c)

2 complex (non-real solutions)

d)

no solution

18.

$5x^2+3x-14$ Find the number of solutions by solving the discriminant

a)

2 real solutions

b)

1 real solution

c)

2 complex (non-real) solutions

d)

no solution

19.

$6x^2-12x+6$ Find the number of solutions by solving the discriminant

a)

2 real solutions

b)

1 real solution

c)

2 complex (non-real) solutions

d)

no solutions

20.

Find the discriminant 3x²-14x+2

a)

-168

b)

172

c)

-36

d)

-12

21.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

22.

Solve using the Quadratic formula x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

23.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

Unit 5 Review

Total questions: 23

Worksheet time: 1hrs 2mins

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