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PS 4.0 Review (3.0 Level)

Total questions: 15

Worksheet time: 47mins

Name
Class
Date
1.
Which function has this end behavior?
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
2.
Determine the end behavior of the graph of 
f(x) = -7x3 + 2x - 1
a)
As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.
b)
As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.
c)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.
d)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
3.

How many potential zeros does this polynomial have?

9x2 + 5x + 27 + 2x3

a)

2

b)

3

c)

9

d)

27

4.

What is the largest number of max/mins this polynomial could have?

6x2 – 3x + 1

a)

6

b)

2

c)

1

d)

0

5.

Name the y-intercept of the polynomial x2-2x+5

a)

(0, 1)

b)

(1, 0)

c)

(0, 5)

d)

(5, 0)

6.

Find the area of the triangle that has a base of (p - 8) and a height of (2p - 16).


Hint: draw a picture!

a)

p 2 − 16p − 64

b)

p 2 + 16p + 64

c)

p 2 − 16p − 8

d)

p 2 − 16p + 64

7.
What is the perimeter for the given rectangle:
a)
6x3 - 9x2 + 10x - 15
b)
6x2 + 1x - 15
c)
6x2 + 4x + 4
d)
6x3 + 1x2 - 15x
8.

The perimeter of the triangle is

3x3 + 4x2 + 8x + 15. If the shortest side is 2x2 + 12x and the longest side is

x3 – 8x + 7, what is the missing side length?

a)

2x3 + 2x2 + 4x + 8

b)

4x3 + 6x2 + 12x + 22

c)

2x3 + 6x2 + 28x + 8

d)

4x3 + 2x2 - 12x + 22

9.

Simplify


(-4r3s5)0(3b4c2d)

a)

1

b)

-12b4c2d

c)

3b4c2d

d)

0

10.

Which of the following is equivalent to (-8p10/ 7r3)2 ?

a)

-64p20/ 49r6

b)

64p20/ 49r6

c)

-8p20/ 14r6

d)

-64p12/ 49r5

11.

Factor

4n4 + 64n3 + 252n2

a)

2(n-7)(n+4)

b)

2(n+7)(n-9)

c)

4n2(n-3)(n-10)

d)

4n2(n+7)(n+9)

12.

Factor:

-x2 - 17x + 60

a)

- (x - 20)(x + 3)

b)

(x - 20)(x + 3)

c)

- (x + 20)(x - 3)

d)

(x + 20)(x - 3)

13.
There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?
a)
1.271 x 1010
b)
1.271 x 109
c)
1.271 x 1011
d)
1.271 x 108
14.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
15.
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
a)
$5844
b)
$584.40
c)
$58.40
d)
$58440