Free Printable Chapter Test

1.

Determine whether the sequence is arithmetic or geometric.

a)

GEOMETRIC

b)

ARITHMETIC

2.

Determine whether the sequence is arithmetic or geometric.

a)

GEOMETRIC

b)

ARITHMETIC

3.

Determine whether the sequence is arithmetic or geometric.

a)

GEOMETRIC

b)

ARITHMETIC

4.

Determine whether the sequence is arithmetic or geometric.

a)

GEOMETRIC

b)

ARITHMETIC

5.

Determine whether the sequence is arithmetic or geometric.

a)

GEOMETRIC

b)

ARITHMETIC

6.

What is the 6th term of the geometric sequence 32, 16, 8?

a)

4

b)

8

c)

1

d)

3

7.

Find the 10th term of the geometric sequence when a1 = 3 and r = -2.

a)

-1536

b)

1534

c)

-1548

d)

1573

8.

What is the common ratio of the geometric sequence 50, 25, 12 ½, 6 ¼, …?

a)

2

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

4

9.

Find the 8th term of the geometric sequence 50, 25, 12 ½, 6 ¼, ….

a)

$\frac{20}{63}$

b)

$\frac{25}{60}$

c)

$\frac{20}{36}$

d)

$\frac{25}{64}$

10.

What is the 2nd term of a geometric sequence when the 4th term is 125 & the 5th term is 625,…?

a)

5

b)

10

c)

15

d)

20

11.

What is the remainder when $2x^2+5x-23$ is divided by (x+5)

a)

2

b)

6

c)

9

d)

12

12.

What is the result of $\left(2x^4+3x^3-4x-16\right)\div\left(x+2\right)$ ?

a)

$2x^3-2x^2-x+8$

b)

$2x^4-x^2-2x+8$

c)

$2x^4-x^3+2x^{2^{ }}-8x$

d)

$2x^3-x^2+2x-8$

13.

What is the correct expression for the divisor?

a)

x-5

b)

x+5

c)

$\frac{x}{5}$

d)

5-x

14.

What is the dividend?

a)

$2x^2+5x-23$

b)

$2x^3+5x^2-23$

c)

$2x^2+5x+23$

d)

$2x^3-5x+23$

15.

a)

$2x+5+\frac{2}{x+5}$

b)

$2x^2-5x+\frac{2}{x+5}$

c)

$2x^2-5x+\frac{2}{x+5}$

d)

$2x^2-5x+\frac{2}{x-5}$

16.

Choose the letter of the correct answer from the image.
Factoring:
$2\left(x-14\right)$

(a)

17.

Choose the letter of the correct answer from the image. Factoring: $2x\left(3x^2-2x+1\right)$

(a)

18.

Choose the letter of the correct answer from the image. Factoring: $\left(x+4\right)\left(x+3\right)$

(a)

19.

Choose the letter of the correct answer from the image. Factoring: $\left(x-3\right)\left(x-6\right)$

(a)

20.

Choose the letter of the correct answer from the image. Factoring: $\left(3x-2\right)\left(2x+1\right)$

(a)

21.

Find the roots of the given polynomial equations.

x-6=0

a)

0 , 6, -6

b)

6

c)

1 , 2 , 3

22.

Find the roots of the given polynomial equations.

x+3=0

a)

1, 2, 3

b)

-3

c)

0 , 4

23.

Find the roots of the given polynomial equations. $\left(x+4\right)\left(x^2-x-2\right)=0$

a)

-2 , 1

b)

-4, -1, 2

c)

0 , 4

24.

Find the roots of the given polynomial equations. $\left(x+2\right)\left(x-2\right)\left(x-1\right)=0$

a)

2 , -2, -1, 1

b)

1, 2 , 3

c)

-2 , 2 , 1

25.

Find the roots of the given polynomial equations. $x^4-5x^2+4=0$

a)

2 , -2 , -1 , 1

b)

-1, -2, 3

c)

-2 , 2, 1

26.

The roots of a polynomial equation in x are the values of x that satisfy the equation.

a)

TRUE

b)

FALSE

27.

Every polynomial equation of degree n has n – 1 real roots.

a)

TRUE

b)

FALSE

28.

The equation $2x^{\frac{1}{3}}-6x^2+x-1=0$

is not a polynomial equation.

a)

TRUE

b)

FALSE

29.

The possible roots of $3x^5-x^4+6x^3-2x^2+8x-5=0$ are $\pm\frac{3}{5},\ \pm3\ ,\ and\ \pm5$

a)

TRUE

b)

FALSE

30.

_______5. The degree of the polynomial equation $-4x^3-15x+6+7x^5=0\$ is -4.

a)

TRUE

b)

FALSE

31.

Find the 14th term of the sequence

5, 7, 9,11,…

a)

31

b)

33

c)

29

d)

35

32.

Find the 11th term of the sequence

17, 13, 9,…

a)

-21

b)

-22

c)

-23

d)

-24

33.

The 16th term of the arithmetic sequence is 48, if the common difference is 3, find the first term.

a)

1

b)

2

c)

3

d)

4

34.

If $a_1=5\ and\ a_7=17$

find the common difference.

a)

1

b)

2

c)

3

d)

4

35.

In an arithmetic sequence -7, -4 -1, 2, … what term is 44?

a)

16

b)

17

c)

18

d)

19

36.

1) Which of the following binomials is a factor of the $P\left(x\right)=x^3-7x+5$ ?

a)

x-1

b)

x+1

c)

x+2

d)

none of these

37.

2) Is the first polynomial a factor of the second polynomial, $x-1;\ x^2+2x+5$

a)

yes

b)

no

c)

uncertain

d)

invalid

38.

3) Which is the missing factor in the equation $x^2-4=\left(x-2\right)$ (_____)?

a)

x-2

b)

x+2

c)

x+4

d)

x-4

39.

Which of the following is NOT a factor of $x^3+5x^2-x-5$ ?

a)

x+1

b)

x-1

c)

x-5

d)

x+5

40.

What are the factors of $x^2-2x-24?$

a)

(x+4)(x-6)

b)

$\left(x-8\right)\left(x+3\right)$

c)

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

d)

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

Chapter Test

Total questions: 40

Worksheet time: 23mins

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