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Math 3 Check In #2

Total questions: 40

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

Find the values of the zeros of the function y=(x+2)(x-3)(3x-5)

a)

x=-2, x=3, x=5/3

b)

x=2, x=-3, x= -5/3

c)

x=-2, x=3, x=3/5

d)

x=2, x=-3, x=-3/5

2.

What are the zeros of the function?

a)

4, 1

b)

-3, -1, 2, 5

c)

-3, -1, 30, 2, 5

d)

3, 1, -2, -5

3.

What are the roots of the function y=(x+2)(x−7)3y=\left(x+2\right)\left(x-7\right)^3  

a)

2, 7 multiplicity 3

b)

-2, -7 mulitplicity 3

c)

-2, 7 mulitplicity 3

d)

2, -7 multiplicity 3

4.

State the zeros of the polynomial function f(x)=x(x+3)2(x−2)f\left(x\right)=x\left(x+3\right)^2\left(x-2\right)  

a)

0, 2, -3

b)

0, 2, -3 multiplicity 2

c)

2, -3 mulitiplicity 2

d)

0, -2, 3 multiplicity 2

5.

Write the polynomial in standard form given the zeros, x=0, -2, 1

a)

y=x2 +x−2y=x^{2\ }+x-2  

b)

y=x4+x3−2x2y=x^4+x^3-2x^2  

c)

y=x3 +x2−2xy=x^{3\ }+x^2-2x  

d)

y=x3 −x2−2xy=x^{3\ }-x^2-2x  

6.

Write the factored form of the polynomial with roots x=-2. x=5, x=2/3

a)

y=(x-2)(x+5)(3x+2)

b)

y=(x-2)(x+5)(2x+3)

c)

y=(x+2)(x-5)(2x-3)

d)

y=(x+2)(x-5)(3x-2)

7.

How many zeros does the polynomial function f(x)=3x4+4x2 +8f\left(x\right)=3x^4+4x^{2\ }+8  have?

a)

2

b)

3

c)

4

d)

6

8.

Which of the following is the correct equation for the function graphed?

a)

f(x)=(x−1)2 (x+2)2 f\left(x\right)=\left(x-1\right)^{2\ }\left(x+2\right)^{2\ }  

b)

f(x)=(x+1)2(x−2)2 f\left(x\right)=\left(x+1\right)^2\left(x-2\right)^{2\ }  

c)

f(x)=(x−1)(x+2)f\left(x\right)=\left(x-1\right)\left(x+2\right)  

d)

f(x)=(x+1)(x−2)f\left(x\right)=\left(x+1\right)\left(x-2\right)  

9.

What is the equation in factored form of the function graphed?

a)

f(x)=−(x+4)(x+1)2(x−2)(x−4)f\left(x\right)=-\left(x+4\right)\left(x+1\right)^2\left(x-2\right)\left(x-4\right)  

b)

f(x)=−(x−4)(x−1)2(x+2)(x+4)f\left(x\right)=-\left(x-4\right)\left(x-1\right)^2\left(x+2\right)\left(x+4\right)  

c)

f(x)=(x+4)(x+1)2 (x−2)(x−4)f\left(x\right)=\left(x+4\right)\left(x+1\right)^{2\ }\left(x-2\right)\left(x-4\right)  

d)

f(x)=(x−4)(x−1)2 (x=2)(x+4)f\left(x\right)=\left(x-4\right)\left(x-1\right)^{2\ }\left(x=2\right)\left(x+4\right)  

10.

What is the degree of the polynomial? y=−4x5+3x2−8x+1y=-4x^5+3x^2-8x+1  

a)

8

b)

4

c)

5

d)

7

11.

What is the degree of the polynomial? f(x)=−2x(x+3)2(x−7)(x+5)3f\left(x\right)=-2x\left(x+3\right)^2\left(x-7\right)\left(x+5\right)^3  

a)

6

b)

7

c)

5

d)

3

12.

What is the degree of the function graphed?

a)

2

b)

4

c)

6

d)

8

13.
a)

A

b)

B

c)

C

d)

D

14.
a)

A

b)

B

c)

C

d)

D

15.

What are the x and y intercepts?

a)

(4, 0) and (0, -4)

b)

(-4, 0) and (0, -4)

c)

(-4, 0) and (0, 4)

d)

(0, 0) and (0, -4)

16.

What are the coordinates of the y-intercept, if one exists.

a)

(0, 0)

b)

(0, 1)

c)

(0, -1)

d)

there isn't one

17.

Find the x-intercept(s), if one exists.

a)

(1, 0)

b)

(-1, 0)

c)

(1, 0), (-1, 0)

d)

(0, 0), (1, 0)

18.

What is the domain?

a)

x ≠ 3

b)

x ≠ -1

c)

x ≠ 3, -1

d)

x ≠ 3, 1

19.

Factor and cancel out in order to simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

20.

Factor and cancel out in order to simplify.

a)

9(x+10)

b)

x+10

c)

9

d)

x+9

21.
a)
A
b)
B
c)
C
d)
D
22.

Factor out, cancel out, and write remaining terms.

a)

A

b)

B

c)

C

d)

D

23.

What does this graph represent?

a)

Exponential Decay

b)

Exponential Growth

24.

What does the graph represent?

a)

Exponential Decay

b)

Exponential Growth

25.

Which does y=.5(2)x represent?

a)

Exponential Growth

b)

Exponential Decay

26.

What is the initial value of the situation represented by f(x)=0.05(2)x?

a)

0.05

b)

2

c)

0.1

d)

1

27.

What is the growth factor of the situation represented by f(x)=10(0.3)x?

a)

10

b)

0.3

c)

1

d)

3

28.
What does the y-intercept of the graph represent?
a)
The amount of grams the material is gaining.
b)
The amount of grams the material is losing.
c)
The amount of grams remaining after so many years.
d)
The initial amount of grams.
29.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?
a)
The number of elephants was 1,015 in 1975.
b)
The number of elephants increases by 1.5% each year.
c)
The number of elephants increases by 101.5% each year.
d)
The number of elephants is multiplied by 1.015 each year.
30.

Which function represents the table of values?

a)

f(x) = 4x

b)

f(x) = x3

c)

f(x) = 4x

d)

f(x) = 4x-1

31.

Which table represents the following equation?

a)
b)
c)
d)
32.

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

a)

$5,884.00

b)

$5,178.97

c)

$2,992.96

d)

$2,957.04

33.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

a)

4 people.

b)

22,972 people.

c)

1,169,030 people.

d)

1,188,311 people.

34.

Derrick has $1,000 in a savings account that ears 15% interest, compounded monthly. To the nearest cent, how much will he have in 2 years?

a)

$5,350.25

b)

$1,322.50

c)

$1,025.16

d)

$1,347.35

35.
a)

12 hours

b)

.111 hours

c)

8.99 hours

d)

.55 hours

36.
a)

11 hours

b)

2.03 hours

c)

.247 hours

d)

.091 hours

37.
a)

2.73 hours

b)

2 hours

c)

3.45 hours

d)

5 hours

38.
a)

6.5 hours

b)

.309 hours

c)

21 hours

d)

3.23 hours

39.
a)

.118 hours

b)

4.12 hours

c)

.24 hours

d)

8.5 hours

40.

PAY ATTENTION!

a)

9 hours

b)

.111 hours

c)

.111 minutes

d)

9 minutes