Free Printable Algebra (381) DPM 2 Review

1.

25% as a decimal:

a)

0.25

b)

02.5

c)

25

d)

2500

2.

2% as a decimal:

a)

0.02

b)

0.2

c)

2

d)

20

3.

18% as a decimal:

a)

0.18

b)

18

c)

1.8

d)

0.81

4.

6% as a decimal:

a)

0.06

b)

0.6

c)

6

d)

600

5.

What is 1% as a decimal?

a)

.1

b)

.01

c)

.001

d)

.0001

6.

What is 3% as a decimal?

a)

.3

b)

30

c)

3.0

d)

.03

7.

What is the initial value in y=4(2)^x

a)

4

b)

2

c)

x

8.

What is the starting amount in the problem below?

f(t) = 300(1.05)^t

a)

300

b)

1.05

c)

t

d)

y

9.

b⁰=

a)

-1

b)

0

c)

1

10.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

11.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

12.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

13.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

14.

Is this exponential growth or decay?

a)

Growth

b)

Decay

15.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

16.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

17.

What is the asymptote of the parent function y=2^x?

a)

x=0

b)

y=0

c)

x=2

d)

y=2

18.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

19.

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x?

a)

y=0.5

b)

y=13

c)

y=6

d)

y=0

20.

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

a)

y=2

b)

y=0

c)

y=3

d)

x=-4

21.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

22.

This is the horizontal line which the values of the function cannot fall below :

a)

Asymptote

b)

Growth Factor

c)

Axis of symmetry

d)

Curve

23.

What is the Domain of this exponential function?

a)

y=1

b)

x=0

c)

All Real Numbers

d)

x>0

24.

What is the Range of this function?

a)

y> 0

b)

x> 0

c)

All Real Numbers

d)

y= 1

25.

What is the Domain of the function?

a)

80 < y < 180

b)

0 < x < 6

c)

All Real Numbers

d)

x > 0

26.

What is the Range of the function?

a)

0 < y < 180

b)

y > 80

c)

All Real Numbers

d)

0 < x < 6

27.

What is the Range of this function?

a)

10 < y < 25

b)

All Real Numbers

c)

0 < x < 30

d)

0 < y < 30

28.

What is the Domain of this function?

a)

25 < x < 10

b)

All Real Numbers

c)

0 < x < 30

d)

0 < y < 30

29.

What is the range of the exponential function?

a)

all real numbers

b)

y > 3

c)

y < 3

d)

x > 3

30.

What variable represents the range?

a)

x

b)

y

c)

d

d)

r

31.

What variable represents the domain?

a)

x

b)

y

c)

d

d)

r

32.

What is the domain of the exponential function?

a)

all real numbers

b)

y > 3

c)

y < 3

d)

x > 3

33.

What is the range of the exponential function?

a)

all real numbers

b)

y > -3

c)

y < -3

d)

x > -3

34.

What is the domain of the exponential function?

a)

all real numbers

b)

y > -3

c)

y < -3

d)

x > -3

35.

Write the exponential regression equation for the data.

a)

Y=8.16(2.7)^x

b)

Y=81.6(2.7)^x

c)

Y=8.16(.27)^x

d)

Y=8.16(27)^x

36.

Which of the equations below represent this table?

a)

y=3⋅(36)^x

b)

y=36⋅(3)^x

c)

y=3⋅(⅓)^x

d)

y=36⋅(⅓)^x

37.

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

a)

y = 1500(1 - 0.015)^t

b)

y = 1500(0.015)^t

c)

y = 1500(1 + 0.015)^t

d)

y = 1500(1.5)^t

38.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

39.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

a)

87%

b)

13%

c)

800%

d)

8.7%

40.

What is the equation of this table?

a)

y=512(1/4)^x

b)

y=32(4)^x

c)

y=32(1/4)^x

d)

y=512(4)^x

41.

For the data given comparing the year versus the population of the world (in billions) , the exponential regression equation is $y=1.44\left(1.013\right)^x$ . What does the 1.013 mean in context to the situation?

a)

The population is increasing by 2 1.01billion people each year

b)

The population is increasing by 101.3% each year

c)

The population is increasing by 13% each year

d)

The population is increasing by 1.3% every year.

42.

According to exponent rules, when we multiply two powers with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

43.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

44.

3⁴⋅ 3⁷

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

45.

d^4\cdot d^5

a)

2d⁴

b)

d⁹

c)

d²

d)

2d

46.

$\frac{n^8}{n^4}$

a)

$n^{4\ }$

b)

$n^{12}$

c)

$n^{-4}$

d)

$n^{-12}$

47.

$\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

48.

Simplify: $\left(5x^3\right)\left(-3x^5\right)$

a)

$-15x8$

b)

$2x^8$

c)

$-15x^2$

d)

$-15x^{-2\ }$

49.

Simplify: $\left(5a^3b^5\right)\left(-8ab\right)$

a)

$-40a^4b^6$

b)

$-40a^3b^5$

c)

$-40a^2b^4$

d)

$-3ab$

50.

\left(4hj\right)^0

a)

$0$

b)

$4h^1j^1$

c)

$4$

d)

$1$

51.

Simplify: $\frac{30x^3y^5}{10x^2y^3}$

a)

$-3xy^2$

b)

$10xy^2$

c)

$3x^5y^8$

d)

$3xy^2$

52.

Simplify.

(-2mn) (3m²n⁴)²

a)

-18m⁵n⁹

b)

-12m⁵n⁹

c)

-18m⁵n⁷

d)

-12m⁵n⁷

53.

Simplify.

(3ab²)² (2a³b)³

a)

72a¹¹b⁷

b)

36a¹¹b⁷

c)

72a⁸b⁷

d)

54a¹¹b⁷

54.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

55.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

56.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

57.

The x-intercepts of a quadratic equation are known as the _____.

a)

vertices

b)

squares

c)

zeros

d)

formulas

58.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

59.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

60.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

61.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

62.

Given g(x) = 4x - 7, find g(9).

a)

g(9) = -43

b)

g(9) = 29

c)

g(9) = 43

d)

g(9) = -29

63.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

64.

h(x) = 3x + 1

h(8) = ______

a)

25

b)

12

c)

6

d)

13

65.

f(x) = x² + 7
x(3) = ______

a)

16

b)

13

c)

15

d)

14

66.

j(x) = 6x + 3

j(3) = ______

a)

9

b)

66

c)

21

d)

18

67.

f(x) = 2x + 15 find f(4)

a)

17

b)

43

c)

39

d)

23

68.

g(m) = -2m + 7; find g(-4)

a)

-1

b)

-14

c)

15

d)

7

69.

If f(x) = 2x + 1, find f(6).

a)

f(6) = 27

b)

f(6) = 9

c)

f(6) = 13

d)

f(6) = 3

70.

Given f(x) = 4x - 10 and f(x) = 10. Find x

a)

x = 14

b)

x = -6

c)

x = -50

d)

x = 30

Algebra (381) DPM 2 Review

Total questions: 70

Worksheet time: 3hrs 9mins

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