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Worksheets

BQ 2024 CALCULUS 6-7

Total questions: 180

Worksheet time: 12hrs 27mins

Name
Class
Date
1.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
2.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
3.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

4.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
5.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
6.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

7.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

8.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

9.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
10.
Solve for the misssing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
11.
a)
7/24
b)
14/50
c)
48/41
d)
48/50
12.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

13.

In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of cos C is

a)

7/25

b)

1/5

c)

8/25

d)

2/5

14.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

15.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
16.

Find the missing value.

Round to the nearest tenths.

a)

52.1o

b)

37.9o

c)

52.1 cm

d)

50.6 cm

17.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

18.

Find the missing value.

Round to the nearest tenths.

a)

34.2o

b)

55.8o

c)

39.6o

d)

29.7o

19.

Find the missing value.

Round to the nearest tenths.

a)

36.6 in

b)

43.7 in

c)

47.8 in

d)

37.4 in

20.

Find the missing value.

Round to the nearest tenths.

a)

50.6o

b)

29.4o

c)

34.8o

d)

50.1o

21.

Find the missing value.

Round to the nearest tenths.

a)

23.6 miles

b)

4.6 miles

c)

.9 miles

d)

20.7 miles

22.

Find the missing value.

Round to the nearest tenths.

a)

50.1o

b)

39.9o

c)

32.7o

d)

51.6o

23.

Find the missing value.

Round to the nearest tenths.

a)

5.9 lightyears

b)

5.0 lightyears

c)

7.1 lightyears

d)

7.5 lightyears

24.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

25.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

26.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

27.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

28.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

29.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

30.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

31.

Which of the following have a negative angle?

a)
b)
c)
d)
32.
What is the reference angle for 45°?
a)
45°
b)
135°
c)
180°
d)

20°

33.

What is the measure of the smallest positive angle coterminal with an angle that measures 73 degrees?

a)

253 degrees

b)

17 degrees

c)

163 degrees

d)

117 degrees

34.

What is the reference angle of an angle the measures 53 degrees?

a)

37 degrees

b)

153 degrees

c)

233 degrees

d)

53 degrees

35.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
36.
Simplify this to a basic trigonometry function:
tan(x)csc(x) 
a)
tanx
b)
secx
c)
cotx
d)
cscx
37.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
38.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
39.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
40.

The value of  sin1(12) \sin^{-1}\left(-\frac{1}{2}\right)\  

a)

π3\frac{\pi}{3}  

b)

π6\frac{\pi}{6}  

c)

π3-\frac{\pi}{3}  

d)

π6-\frac{\pi}{6}  

41.

The value of cos1(32) \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\  is

a)

5π6\frac{5\pi}{6}  

b)

5π6-\frac{5\pi}{6}  

c)

π6\frac{\pi}{6}  

d)

π6-\frac{\pi}{6}  

42.
sin-1[cosπ]
a)
0
b)
π
c)
π/2
d)
-π/2
43.
tan(sin-1(-1/2))
a)
√3
b)
√3/3
c)
-√3
d)
-√3/3
44.
cos-1(tan(-π/4))
a)
0
b)
π
c)
π/4
d)
3π/4
45.
What is cos-1(½)?
a)
¼π, 45⁰
b)
⅓π, 60⁰
c)
½π, 90⁰
d)
π, 180⁰
46.

sin 90o

a)

0

b)

1

c)

und

d)

-1

47.

Cos 180o

a)

1

b)

0

c)

-1

d)

und

48.

sin 0

a)

0

b)

1

c)

-1

d)

und

49.

cos 0

a)

0

b)

-1

c)

1

d)

und

50.

sin 270o

a)

0

b)

1

c)

-1

d)

und

51.

cos 90o

a)

0

b)

1

c)

-1

d)

und

52.

cos 270o

a)

0

b)

1

c)

-1

d)

und

53.

sin 180o

a)

0

b)

1

c)

-1

d)

und

54.

tan 90o

a)

0

b)

1

c)

-1

d)

und

55.

cot 270o

a)

0

b)

1

c)

-1

d)

und

56.

sec 360o

a)

0

b)

1

c)

-1

d)

und

57.

csc 180o

a)

0

b)

1

c)

-1

d)

und

58.

tan 180o

a)

0

b)

1

c)

-1

d)

und

59.

sin -90o

a)

0

b)

1

c)

-1

d)

und

60.

sec π

a)

1

b)

-1

c)

0

d)

und

61.

tan 270o

a)

1

b)

0

c)

-1

d)

und

62.

csc 90o

a)

1

b)

0

c)

-1

d)

und

63.

cot 450o

a)

0

b)

1

c)

-1

d)

und

64.

cos 900o

a)

1

b)

0

c)

-1

d)

und

65.

tan 0

a)

0

b)

1

c)

-1

d)

und

66.
Solve the following for cos2θ:
sin2θ + cos2θ = 1
a)
cos2θ = 1 - sin2θ
b)
cosθ = 1 + sin2θ
c)
cosθ = 1 - sinθ
d)
cos2θ = Adj/hyp
67.
Solve the following for tan2θ:
1 + tan2θ = sec2θ 
a)
tan2θ = sec2θ + 1
b)
tan2θ = sec2θ - 1
c)
tanθ = secθ - 1
d)
tan2θ = opp/adj
68.
Rewrite tan(x) in terms of sin(x) and cos(x).
a)
tan(x) = cos(x)/sin(x)
b)
tan(x) = 1/cot(x)
c)
tan(x) = sin(x)/cos(x)
d)
tan(x) = opp/adj
69.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
70.
Please select the correct solution cos 2 x + sin x=  
a)
1
b)
csc 2 x + sec 2 x
c)
sinx
d)
1 - sinx
71.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
72.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
73.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
74.
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
75.
a)
-1
b)
sin θ
c)
csc θ
d)
1
76.

Which of the following is NOT a Pythagorean identity?

a)

tan2x+1=sec2x\tan^2x+1=\sec^2x

b)

cos2x = cos2xsin2x\cos2x\ =\ \cos^2x-\sin^2x

c)

sin2x + cos2x=1\sin^2x\ +\ \cos^2x=1

d)

1+cot2x = csc2x1+\cot^2x\ =\ \csc^2x

77.

Simplify:  cotxsinxsec2x\cot x\sin x\sec^2x

a)

cosx\cos x  

b)

tanx\tan x  

c)

cscx\csc x  

d)

secx\sec x  

78.

Simplify: cosxcosxsin2x\cos x-\cos x\sin^2x  

a)

sin3x\sin^3x  

b)

cos3x\cos^3x  

c)

tanxsec2x\tan x\sec^2x  

d)

11  

79.

Which of the following is false?

a)

sin(x)=sin(x)\sin\left(-x\right)=-\sin\left(x\right)

b)

cos(x)=cos(x)\cos\left(-x\right)=-\cos\left(x\right)

c)

tan(x)=tan(x)\tan\left(-x\right)=-\tan\left(x\right)

d)

cot(x)=cot(x)\cot\left(-x\right)=-\cot\left(x\right)

80.

Simplify:  sin2x1+cosx1\frac{\sin^2x}{1+\cos x}-1

a)

1cosxsinx\frac{1-\cos x}{\sin x}  

b)

00  

c)

cosx-\cos x  

d)

cscx1\csc x-1  

81.

Simplify: cot2xcsc2x+sin2x+cos2x\cot^2x-\csc^2x+\sin^2x+\cos^2x  

a)

0

b)

2

c)

tan2x\tan^2x  

d)

sec2x\sec^2x  

82.

Simplify: (cosxsinx)2\left(\cos x-\sin x\right)^2

a)

11  

b)

cos2x\cos2x  

c)

cos2x+sin2x\cos2x+\sin2x  

d)

1sin2x1-\sin2x  

83.

Which of the following is false?

a)

sin(a+b)=sinacosbcosasinb\sin\left(a+b\right)=\sin a\cos b-\cos a\sin b  

b)

cos(ab)=cosacosb+sinasinb\cos\left(a-b\right)=\cos a\cos b+\sin a\sin b  

c)

tan(a+b)=tana+tanb1tanatanb\tan\left(a+b\right)=\frac{\tan a+\tan b}{1-\tan a\tan b}  

d)

tan(ab)=tanatanb1+tanatanb\tan\left(a-b\right)=\frac{\tan a-\tan b}{1+\tan a\tan b}  

84.

Simplify: sin(x2)cos(x2)\sin\left(\frac{x}{2}\right)\cos\left(\frac{x}{2}\right)  

a)

cosx\cos x  

b)

cosx2\frac{\cos x}{2}  

c)

sinx\sin x  

d)

sinx2\frac{\sin x}{2}  

85.

Simplify: 11tanx11+tanx\frac{1}{1-\tan x}-\frac{1}{1+\tan x}

a)

tan2x\tan2x  

b)

tan2x\tan^2x  

c)

tanx-\tan x  

d)

tanx+tan22x\tan x+\tan^22x  

86.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
87.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
88.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
89.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
90.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
91.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
92.

Find the midpoint of RT.

a)

-1

b)

1

c)

0

d)

2

93.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
94.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
95.

Find the midpoint of the line.

a)

(2,1)

b)

(1,2)

c)

(-2,1)

d)

(1,-2)

96.

Find the midpoint of PS.

a)

-6

b)

-6.5

c)

-4

d)

-4.5

97.

Find the midpoint.

a)

(2,6)

b)

(2,12)

c)

(4,12)

d)

(1,6)

98.
Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
99.
Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
a)
(-6, 14)
b)
(-4, -12)
c)
(13, -1)
d)
(5, 13)
100.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
101.

Calculate the distance between the points A(-4, 2) and B(15,6).  Write your answer as simplified radical.

a)

185\sqrt{185}  

b)

57\sqrt{57}  

c)

377\sqrt{377}  

d)

19.42

102.

Determine the length of each segment with the given endpoints: C(1,4) and D(11, 28). Write your answer in simplified radical.

a)

26

b)


26\sqrt{26}

c)

12512\sqrt{5}

d)

4554\sqrt{55}

103.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
104.

Determine the length of each segment with the given endpoints: Y(-2, 6) and Z(5, -8). Write your answer in simplified radical.

a)

545

b)


545\sqrt{545}

c)

757\sqrt{5}

d)

147\sqrt{147}

105.

Determine the coordinates of the midpoint of the segment with endpoints R(3, 16) and S(7,-6).

a)

(5,5)

b)

(10, 10)

c)

(-2, 11)

d)

(5, 11)

106.

What are the coordinates of the midpoint of a segment with endpoints at (-3,-4) and (5,8)?

a)

(1,2)

b)

(2,4)

c)

(4,6)

d)

(8,12)

107.

Point C is the midpoint of segment AB. Point A has coordinates (2,4) and point C has coordinates (5, 0). What are the coordinates of point B?

a)

(7, 4)

b)

(3.5, 2)

c)

(10, 0)

d)

(8,-4)

108.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
109.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
110.

The distance between A(3,1) and B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

111.

The distance between A(2,0) and B(-2,4) is written as

a)

d = (42)2  (02)2d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}

b)

d = (40)2  (22)2d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}

c)

d = (2 +0)2 + (4+2)2d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}

d)

d = (22)2 + (40)2d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}

112.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
113.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
114.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
115.

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

a)

(5,5)

b)

(1,9)

c)

(17,17)

d)

(-4,-4)

116.

Find the midpoint: (-8,6), (5,-7)

a)

(32,12)\left(-\frac{\text{3}}{2},-\frac{1}{2}\right)

b)

(32,12)\left(\frac{3}{2},\frac{1}{2}\right)

c)

(7.5,7.5)\left(7.5,7.5\right)

d)

(2,1)\left(-2,-1\right)

117.

Find the midpoint:

a)


(3,1)\left(3,-1\right)

b)

(1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

118.

Find the midpoint:

a)

(12,0)\left(-\frac{1}{2},0\right)

b)

(0,12)\left(0,-\frac{1}{2}\right)

c)

(0,2)\left(0,-2\right)

d)

(1,32)\left(-1,\frac{3}{2}\right)

119.

Find the midpoint:

a)

(1,3)\left(-1,-3\right)

b)

(2,32)\left(-2,-\frac{3}{2}\right)

c)

(1,52)\left(-1,-\frac{5}{2}\right)

d)


(52,1)\left(-\frac{5}{2},-1\right)

120.

The vertical change is also known as _______.

a)

rise

b)

run

121.

The slope (m) of a line is the ratio of the change in y to the corresponding change in x.

a)

True

b)

False

122.

What is the slope of this graph?

a)

positive

b)

negative

c)

zero

d)

undefined

123.

Which is the formula of slope?

a)
b)
c)
124.

What is the y-intercept in this form.

a)

y

b)

m

c)

x

d)

b

125.

What does the graph shows?

a)

positive slope

b)

negative slope

c)

zero slope

d)

undefined slope

126.

What is the slope of y=3x+2?

a)

1

b)

2

c)

3

d)

4

127.

What is the value of p so that the line passing through (p, 1) and (3, 7) has a slope of -3/2.

a)

3

b)

-3

c)

-7

d)

7

128.

Which of the following is in standard form?

a)

y=-x-1

b)

2x+3y=1

c)

4x-5y+2=0

d)

x-4=2y

129.

Which of the following shows undefined slope? (You can choose more than one answer.)

a)
b)
c)
d)
e)
130.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
131.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
132.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
133.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
134.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
135.
What is the rate of change?
a)
1/2
b)
2
c)
7
d)
3
136.
What is the rate of change?
a)
5
b)
1/5
c)
15
d)
10
137.
What direction is an undefined slope?
a)
horizontal
b)
vertical
138.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
139.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
140.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
141.
What is the value of m?
y = − ⅚x - 9
a)
m = − ⅚
b)
m = − ⅚x
c)
m = -9
d)
m = ⅚
142.
What is the slope?
y = 3x + 1
a)
m = 3
b)
m = 3x
c)
m = 1
d)
m = 4
143.
What is the slope?
f(x) = 9 − x
a)
m = −1
b)
m = 9
c)
m = 8
d)
m = −x
144.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
145.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
146.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
147.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
148.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
149.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
150.
Given the equation of the ellipse and the C value, write the foci ordered pair
a)
(4 ± 7.42, -2)
b)
(4, - 2 ± 7.42)
c)
(- 4 ± 7.42, 2)
d)
( - 4, 2 ± 7.42)
151.
What is the center of the ellipse?
a)
(0, 0)
b)
(1, 5)
c)
(1, 0)
d)
(0, 1)
152.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
153.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
154.
What is the equation of a circle with radius 2 and center (3, 4)?
a)
(x+3)2 + (y+4)2 = 2
b)
(x-3)2 + (y-4)2 = 2
c)
(x+3)2 + (y+4)2 = 4
d)
(x-3)2 + (y-4)2 = 4
155.
See Picture
a)
A
b)
B
c)
C
156.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
157.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what are the a and b values?
a)
a = 6, b = 3
b)
a = 6, b = 4
c)
a = 36, b = 16
d)
a = 4, b = 6
158.
Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
what type of an ellipse has the following characteristics?
a)
vertical
b)
horizontal
159.
What is the center of the given equation?
a)
(h, k) = (4, 3)
b)
(h, k) = (-4, -3)
c)
(h, k) = (-4, 3)
d)
(h, k) = (4, -3)
160.
What is the equation for the foci on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
161.
What are the vertices of the ellipse?
a)
(0, 0)
b)
(7, 1) and (-1, 1)
c)
(3, -5) and (3, 7)
d)
(3, 1)
162.

What are the co-vertices of the ellipse?

a)

(0, 0)

b)

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

c)

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

d)

(3, 1)

163.
What is the center of the shifted ellipse?
a)
(0,0)
b)
(-3,1)
c)
(1,-3)
d)
(3,-1)
164.
See Picture
a)
A
b)
B
c)
C
d)
D
165.

Find the standard equation of the given ellipse

a)
b)
c)
d)
166.

Find the standard equation of the given ellipse

a)
b)
c)
d)
167.

Find the standard equation of the given ellipse

a)
b)
c)
d)
168.

What are the vertices of the ellipse?

a)

(-5,3)

b)

(-5,0) and (-5,6)

c)

(3,-5)

d)

(-10, 3) and (0,3)

169.

Which of the following is the graph of  (x+3)24+(y+1)29=1\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1  

a)
b)
c)
d)
170.

What are the co-vertices of the ellipse?

a)

(-5,3)

b)

(-5,0) and (-5,6)

c)

(3,-5)

d)

(-10, 3) and (0,3)

171.

What type of conic section is 3x2y211x6y+4=03x^2–y^2–11x–6y+4=0 ?

a)

Ellipse 

b)

Hyperbola

c)

Circle

d)

Parabola

172.

Check the box that shows a parabola.

a)
b)
c)
d)
e)
173.

If the plane cuts the cone in the similar fashion but at a certain angle, then the conic section is an (a)   .

174.

What type of conic section is 2x2+2y24x16y9=02x^2+2y^2-4x-16y-9=0  ?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

175.

What type of conic section is x2x+3y+6=0x^2-x+3y+6=0  ?

a)

Hyperbola

b)

Ellipse

c)

Circle

d)

Parabola

176.

What type of conic section is shown?

a)

Ellipse

b)

Parabola

c)

Hyperbola

d)

Circle

177.

When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a _______________.

a)

Parabola

b)

Circle

c)

Hyperbola

d)

Ellipse

178.

These are figures that formed by intersecting two inverted cones and a plane.

a)

Cross Sections

b)

Conic Sections

c)

Circles

d)

Parabolas

179.

Conics are special curves and are classified into four types. What are those?

a)

Ellipse

b)

Cone

c)

Parabola

d)

Hyperbola

e)

Circle

180.

Which equation shows an ellipse?

a)

y2+x3y15=0y^2+x-3y-15=0

b)

2x24y2+18x+120y159=02x^2-4y^2+18x+120y-159=0

c)

4x2+4y216y+81=04x^2+4y^2-16y+81=0

d)

16x2+11y2+54x61y121=016x^2+11y^2+54x-61y-121=0