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Chapter 3 (Solving Quadratics) Test REVIEW

Total questions: 19

Worksheet time: 1hrs 11mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.



(a)  

3.

What is the sum of the complex numbers 4+5i and 6+3i?

a)

18

b)

18i

c)

10+8i

d)

24+15i

4.

If x satisfies the equation x2 +x6=0x^{2\ }+x-6=0   which of the following could be x+5x+5  ?

a)

-2

b)

2

c)

3

d)

8

5.

If the product of 3+2i and 5-4i is a2ia-2i  what is the value of a?

(a)  

6.

If a>0a>0  and a solution to x236=0x^2-36=0  what is the value of a?

(a)  

7.

If the discriminant is 17, how many real solutions does the equation have?

a)

0

b)

1

c)

2

8.

How many real solutions does x24x+8=0x^2-4x+8=0  have?

a)

0

b)

1

c)

2

9.

If b is a solution to  x2+7x18=0x^2+7x-18=0 and  b>0b>0  , what is the value of b?

(a)  

10.

If 5x210x=05x^2-10x=0  SELECT ALL of the solutions below:

a)

x=0

b)

x=-2

c)

x=5

d)

x=2

11.

If the simplified form of 5+2i23i\frac{5+2i}{2-3i}  is 4+bi13\frac{4+bi}{13}  , what is the value of b?

(a)  

12.

What are the solutions to 5(x3)2=255\left(x-3\right)^2=25  ?

a)

x=2, 4

b)

x=3±5x=3\pm\sqrt[]{5}  

c)

x=3±5x=-3\pm\sqrt[]{5}  

d)

x=-2, -4

13.

If a is a solution to 5x28x4=05x^2-8x-4=0 and a>0a>0   what is the value of a?

(a)  

14.

Are x=3 and x=2 solutions to a quadratic equation or factors of a quadratic equation?

a)

factors

b)

solutions

15.

What are the factors of 2x27x+6=02x^2-7x+6=0  ?

a)

(x-6)(x-1)

b)

(x-2)(2x-3)

c)

(x-1)(2x-6)

d)

(x+2)(2x-3)

16.
a)

A

b)

B

c)

C

d)

D

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

A

b)

B

c)

C

d)

D

19.
a)

A

b)

B

c)

C

d)

D