Free Printable A2TH Semester 2 Review

Worksheets

A2TH Semester 2 Review

Total questions: 42

Worksheet time: 9hrs 18mins

Name

Class

Date

Which equation represents exponential decay?

y = 0.3x

y = 3^x

y = 100(0.5)^x

y = 0.5(100)^x

Which equation best describes the graph?

y = 2^x + 4

y = 2^x - 3

y = 2^x - 4

y = 2^x + 3

Solve for x:
3^2x = 27^{x - 4}

x = 12

x = 4

x = -4

x = 1

Write in exponential form:
log ₂ 32 = 5

2⁵ = 32

5² = 32

5³² = 2

2³² = 5

log₂⅛

-3

-4

Solve:
log₉(x)+log₉(x+2)=log₉(35)

-7

5, -7

-7, -13

Solve

81/8

9969

Solve for n:

3ⁿ=25

n = -2

n = 2

n = 0.34

n=2.93

10.

Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

x = 2.20

x = 1.68

x = -5.00

x = -4.97

11.

What is our last day of school?

June 3rd

June 4th

June 1st

12.

Simplify

A.(x+7)/(x-4)

B.-3/4

C.(x+3)/(x+4)

D.(x+3)/(x-4)

13.

14.

Simplify.

15.

16.

What is the hole?

x= 4

x= -4

x= 5

x= -5

17.

Find the horizontal asymptote.

y = -2

none

y = 0

y = 1/2

18.

This graph would have...

An Oblique Asymptote

HA @ y = 3

HA @ y = 0

No HA or OA

19.

Solve the equation for x.

20.

how many days are there in june?

21.

Convert 150⁰ to radians

5π/6

3π/4

7π/6

2π/3

22.

Convert π/3 radians to degrees

60⁰

30⁰

90⁰

45⁰

23.

Find a coterminal angle to -90 degrees.

-450

180

-180

24.

What is the reference angle for 5pi/4?

pi/4

7pi/4

pi/6

pi/3

25.

π/3

π/6

2π/3

5π/6

26.

The terminal side of θ in standard position contains the point (5,12). What does sin θ equal?

5/13

5/12

12/13

13/5

27.

tan 7π/4

-1

√2/2

undefined

28.

cos (-π/6)

√3/2

√2/2

1/2

29.

When is our independence day?

july 4th

july 12th

july 3rd

30.

Given: C = 30°, b = 42, c = 22 Find B using the Law of Sines

73°

117°

77°

15°

31.

Find c using the Law of Cosines

Given a=9 b=11 C=120 °

c=17.4

c=18.4

c=18.2

32.

What is the period of y=4cos5x

2π/5

5π

33.

What is the period of
y= -3sin(x)

2π

3π

4π

34.

Does the graph of sine have asymptotes?

yes, at multiples of π

sometimes

yes at multiples of 2π

35.

Does the graph of tangent have asymptotes?

yes, at odd multiples of π

sometimes

yes at odd multiples of π/2

36.

When is Father's day?

June 23rd

June 17th

June 13th

37.

What is the vertex of the following parabola?

(y + 5)²= -12 (x - 2)

(2, - 5)

( -5, 2)

(1 , -5 )

(-1, -5 )

38.

Which direction does this parabola open?

Down

Left

Right

39.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

C:(4, -2), r=5

C:(-4, 2), r=5

C:(4, -2), r=25

C:(-4, 2), r=25

40.

What are the vertices of the ellipse?

(0, 0)

(7, 1) and (-1, 1)

(3, -5) and (3, 7)

(3, 1)

41.

What are the asymptotes of the hyperbola in the picture?

y = x and y = –x

y = 2x and y = –2x

y = ¹/₂x and y = –¹/₂x

y = 2x and y = 4x

42.

Who are you going to miss the most this summer?

Ms. Mager

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A2TH Semester 2 Review

Total questions: 42

Worksheet time: 9hrs 18mins

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