Free Printable Test #7

1.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

2.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

3.

$\frac{81x^9-54x^6+27x^3}{9x}$

a)

$9x^9-6x^6+3x^3$

b)

$9x^8-6x^5+3x^2$

c)

$9x^{10}-6x^7+3x^4$

d)

$81x^8-6x^5+3x^2$

4.

a)

xy+2xy-3xy

b)

3x+2-3xy

c)

x+2-3xy

d)

x+2+3xy

5.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

6.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

7.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

8.

Solve using long division. $\left(8x^2+6x-20\right)\div\left(4x-5\right)$

a)

$2x-4$

b)

$2x+4$

c)

$2x-1-\frac{16}{4x-5}$

d)

$2x-4-\frac{40}{4x-5}$

9.

The function shown has:

a)

Degree two with negative leading coefficient.

b)

Degree three with negative leading coefficient.

c)

Degree four with negative leading coefficient.

d)

Degree four with positive leading coefficient.

10.

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

a)

4

b)

7

c)

2

d)

1

11.

If c(x) = 2x² - 4x + 3 and d(x) = -x³ + x + 1 find 5d(2a)

a)

40a³ + 10a + 5

b)

40a³ - 10a + 5

c)

-40a³ + 10a - 5

d)

-40a³ + 10a + 5

12.

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

a)

-2x⁵ + 3x - 1

b)

5x^-2 +3x - 1

c)

-2x⁵ + 3x⁴ + 2x³ + x² - 10

d)

2x + 5

13.

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

14.

a)

A

b)

B

c)

C

d)

D

15.

Select all statements that apply to this polynomial.

a)

This is an odd degree function.

b)

This is an even degree function.

c)

The leading coefficient is positive.

d)

The leading coefficient is negative.

16.

Describe the end behavior of the function. (Put the polynomial in standard form first*)
y = -6x + 4 + 9x³

a)

down and down

b)

down and up

c)

up and down

d)

up and up

17.

If h(x) = -5x + 7,

Evaluate 6h(2x).

a)

10x+7

b)

-12x+4

c)

-60x+42

d)

-30x+42

18.

Given

f(x)= 2x² + 5x - 17, find f(-x).

a)

2x²-5x-17

b)

-2x²+5x+17

c)

2x²-5x+17

d)

-2x²-5x-17

19.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

20.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

21.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

22.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

23.

$\left(\frac{3m^2n^7}{m}\right)^5$

a)

$15m^7n^{12}$

b)

$243m^5n^{35}$

c)

$15m^{15}n^{35}$

d)

$243m^7n^{12}$

24.

y=-2(x+5)²

*Mark all that apply.

a)

right 5

b)

left 5

c)

VC by a factor of 2

d)

reflection across x-axis

e)

VS by a factor of 2

25.

y= 5/3(x-7)² - 8

*Mark all that apply.

a)

right 7

b)

up 8

c)

down 8

d)

VS by a factor of 5/3

Test #7 - Algebra 2

Total questions: 25

Worksheet time: 6hrs 15mins

Similar Resources on Wayground