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Aromatic-11th-2020-BMT_2

Total questions: 60

Worksheet time: 2hrs 1mins

Name
Class
Date
1.
If each mark on the x-axis represents one second, when did the object reach its maximum height?
a)
2.5 seconds
b)
2 seconds
c)
5.5 seconds
d)
3 seconds
2.
The object was thrown or launched from what position?
a)
At the ground
b)
Above the ground
c)
Below the ground
3.
What is the y-intercept?
f(x) = 2(x - 5)2 + 12
a)
(0, -5)
b)
(0,12)
c)
(0, 62)
d)
(0, 212)
4.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
5.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
6.

Graph the following equation:

y=x2-2x-3

a)
b)
c)
d)
7.

Convert into degrees.

a)

360 degrees

b)

120 degrees

c)

90 degrees

d)

180 degrees

8.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

9.

When writing the slope intercept form of the equation 8x+3y=15 what is the first thing that you would do to get "y" by itself?

a)

Subtract 8

b)

Subtract 15

c)

Subtract 8x

d)

Divide by 3

10.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

11.

 Solve sinx=12 for 0x360°Solve\ \sin x=\frac{1}{2}\ for\ 0\le x\le360\degree  

a)

30, 330

b)

30, 150

c)

60, 120

d)

60, 300

12.

 Solvesinx=32 for 0x360°Solve\sin x=\frac{\sqrt{3}}{2}\ ​for\ 0≤x≤360°  

a)

30, 150

b)

60, 300

c)

30, 330

d)

60, 120

13.

If cot A = 12/5, then the value of ( sin A + cos A) x cosec A is:

a)

14/5

b)

13/5

c)

17/5

d)

1

14.

If sin( θ/2) = cos( θ/2), then value of θ is

a)

b)

45º

c)

30º

d)

90º

15.

If sec θ - tan θ = 1/3, the value of (sec θ + tan θ)

a)

1

b)

2

c)

3

d)

4

16.

If sec θ + tan θ = x, then tan θ is:

a)

(x² + 1)/x

b)

(x² - 1)/x

c)

(x² + 1)/2x

d)

(x² - 1)/2x

17.

If secA= -1 and A lies in the second quadrant, find sinA.

a)

1

b)

0

c)

-1

d)

2

18.

In what quadrant does an angle lie if its tangent is positive and its sine is negative

a)

1

b)

2

c)

3

d)

4

19.

In what quadrant does an angle lie if its cosine is positive and its tangent is negative

a)

1

b)

2

c)

3

d)

4

20.

If cos x=5/13 and x lies in the fourth quadrant, find the value of 2-3cotx

a)

13/4

b)

-13/4

c)

3/4

d)

-3/4

21.

 If secθ+tanθ=x, then value of Tanθ isIf\ \sec\theta+\tan\theta=x,\ then\ value\ of\ Tan\theta\ is  

a)

 x212x\frac{x^2-1}{2x}  

b)

 x2+1x\frac{x^2+1}{x}  

c)

 x21x\frac{x^2-1}{x}  

d)

 x2+12x\frac{x^2+1}{2x}  

22.

 if Cosecθ+Cotθ=p, then Cosθ=if\ Co\sec\theta+Cot\theta=p,\ then\ Cos\theta=  

a)

 p21p2+1\frac{p^2-1}{p^2+1}  

b)

 p2+1p1\frac{p^2+1}{p-1}  

c)

 (p+1)(p1)\left(p+1\right)\left(p-1\right)  

d)

 pp  

23.
What is the height of the tree? Round the the nearest foot. 
a)
38 ft
b)
63 ft
c)
20 ft
d)
98 ft
24.
What is the value of d? Round to the nearest tenth of a meter. 
a)
18.9 m
b)
19.5 m
c)
47 m
d)
27.5 m
25.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
26.
The terminal side of θ in standard position contains the point (5,12). What does sin θ equal?
a)
5/13
b)
5/12
c)
12/13
d)
13/5
27.
sin(11π/6)
a)
½
b)
2√3 /3
c)
- ½
d)
-2√3 /3
28.
a)
b)
c)
d)
e)
29.

Factor the following: f(x)= tan2 + 7tan + 6

a)

(tan - 1)(tan + 7)

b)

(tan + 1)(tan + 1)

c)

(tan -1)(tan - 6)

d)

(tan + 6)(tan + 1)

30.

f(x) = -15tan2 - 5tan

a)

-5tan(-3tan + 1)

b)

(-5tan + 1)(-3tan -5)

c)

-5tan(3tan + 1)

d)

(5tan + 1)(-3tan - 5)

31.
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
32.

sin 2x =

a)

cos2x - sin2x

b)

1 - 2 sin2x

c)

2 sin x cos x

d)

2 sin x

33.

cos 2x =

a)

cos2x - sin2x

b)

1 - 2 sin2x

c)

2 sin x cos x

d)

2 sin x

34.

cos (A + B) =

a)

sin A + sin B

b)

sin A cos B + cos A sin B

c)

cos A cos B + sin A sin B

d)

sin A cos B - cos A sin B

e)

cos A cos B - sin A sin B

35.

What is cos(15o)?

a)

(√2 + √6)/4

b)

(√2 - √6 )/4

c)

(√6 - √2)/4

d)

(-√2 - √6)/4

36.

Match the graph to the description:

"The car is stopped."

a)
b)
c)
d)
37.
Differentiate      y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
38.
Find the derivative of the given equation
f(x) = 7
a)
7
b)
0
c)
7x
d)
14
39.
Find the derivative of the given equation
f(x) = 1/x2
a)
1/2x
b)
-2x
c)
2x
d)
-2x-3
40.
a)
A
b)
B
c)
C
d)
D
41.
What is the derivative of xn?
a)
(n-1)xn
b)
nxn+1
c)
(n+1)xn-1
d)
nxn-1
42.
Derivative means the same thing as
a)
slope of the tangent line
b)
slope of the normal line
c)
exponent
d)
potato
43.
If a function has a derivative that is negative, what does that tell you?
a)
The function is increasing
b)
The function is decreasing
44.
Differentiate 6x.
a)
4x-⅓
b)
4x-
c)
6x
d)
4x
45.
Differentiate f(x) = x3.
a)
x^4
b)
3x^3
c)
3x^2
d)
6x
46.
Differentiate f(x) = x3.
a)
x^4
b)
3x^3
c)
3x^2
d)
6x
47.
Differentiate f(x) = 4x2.
a)
8x
b)
16x
c)
16x^2
d)
8x^2
48.
Differentiate      y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
49.
If the position function for a particle is s(t) = -t2 - t, what is the expression for the instantaneous velocity for the particle? 
a)
v(t) = -2
b)
v(t) -2t - 1 
c)
v(t) = t3
d)
v(t) = -t
50.
Find the derivative of
a)
sinx
b)
-sinx
c)
-cscx cotx
d)
sec2x
51.
Find the derivative of
a)
cscx cotx
b)
secx tanx
c)
sec2x
d)
-cscx cotx
52.
Find the derivative of
a)
secx tanx
b)
sec2x
c)
cscx cotx
d)
-cscx cotx
53.
Find the derivative of
a)
secx tanx
b)
-secx tanx
c)
tan2x
d)
cscx cotx
54.
Find the derivative of
a)
-cscx cotx
b)
cscx cotx
c)
-csc2x
d)
csc2x
55.
The derivative of sin(2x)
a)
2cos(x)
b)
2sin(2x)
c)
2cos(2x)
d)
2xcos(2x)
56.
Find the derivative x¾
a)
¾x
b)
¾x¼
c)
¾x
d)
⅘x
57.

Differentiation is...

a)

Done every day

b)

A flexible range of approaches

c)

Giving more work to students who finish early

d)

Dropping the lowest grade

58.

If 5 tan θ = 4, then value of (5 sinθ - 4 cosθ)/(5 sin θ + 4 cos θ) is:

a)

5/6

b)

0

c)

5/3

d)

4/3

59.

If tan 2A = cot(A - 18º), then the value of A is:

a)

27º

b)

18º

c)

36º

d)

24º

60.

If sin 54 cosec (90- θ) =1, find the value of θ…

a)

18º

b)

36º

c)

24º

d)

27º