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PRETEST IN MATHEMATICS 10

Total questions: 20

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Solve using long division. (x2+2x  63)÷(x+9)\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)  

a)

x7x-7  

b)

x27x^2-7  

c)

x+7x+7  

d)

x2+3x54x^2+3x-54  

2.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect, and error occurs on the 2nd line!

c)

This is incorrect, and the error occurs on the 4th line!

d)

This is incorrect, and the error occurs on the 3rd line!

3.

Find the sum of the infinite geometric series, if it exists. n=18(15)n1\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}  

a)

8

b)

8/5

c)

10

d)

Does not exist

4.

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

a)

5/4

b)

9/5

c)

5/6

d)

65/27

5.
Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4  R(-12)
b)
2x² - 2x + 6  R(-23)
c)
2x² - 2x + 8  R(-20)
d)
2x² - 4x + 1  R0
6.

Cam divided (x4 + 3x2 - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x3 term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

7.
Determine if the series converges or diverges
a)
Converges
b)
Diverges
8.
Determine if the series converges or diverges
a)
Converges
b)
Diverges
9.

Determine whether or not x – 1 is a factor of x2 + 2x + 5 .

a)

Factor

b)

Not a Factor

10.

Determine whether or not a – 1 is a factor of a3 – 2a2 + a – 2.

a)

Factor

b)

Not a Factor

11.

What is the remainder when 𝑎3 − 5𝑎2 − 𝑎 + 5 is divided by 𝑎 + 2?

a)

-21

b)

-5

c)

5

d)

21

12.

What is the remainder when 𝑥3 + 2𝑥2 − 𝑥 + 5 is divided by 𝑥 + 1?

a)

3

b)

5

c)

7

d)

15

13.
Is the sequence -432, 72, -12, 2,...geometric?
a)
yes
b)
no
14.
Is this sequence arithmetic, geometric, or neither?
1,2,4,7,11,16,22,...
a)
arithmetic
b)
geometric
c)
neither
d)
none of the above
15.
What is the twelfth term in the sequence 3, -6, 12, . . . ?
a)
-2,048
b)
6,144
c)
-6,144
d)
-531,441
16.
What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?
a)
59,050
b)
-59,048
c)
-78,732
d)
118,096
17.

7. Determine the common ratio(r) of the sequence

5, -20, 80, -320

a)

-4

b)

-1/4

c)

1/4

d)

4

18.

Which of the following is the first POSITIVE term of the arithmetic sequence -10, -7, -4, ...?

a)

1

b)

2

c)

3

d)

4

19.

What is the 3rd term of the arithmetic sequence with 5 as the first term and with a common difference of 3?

a)

8

b)

10

c)

11

d)

14

20.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25