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Worksheets

hassonatest2

Total questions: 182

Worksheet time: 7hrs 17mins

Name
Class
Date
1.

What type of angle pair are

1 and 3?\angle1\ and\ \angle3?  



(a)  

2.

 

Are 1 and 3 congruent or supplementary?Are\ \angle1\ and\ \angle3\ congruent\ or\ \sup plementary?  



(a)  

3.

What type of angle pair are

1 and 8?\angle1\ and\ \angle8?  



(a)  

4.

 

Are 1 and 8 congruent or supplementary?Are\ \angle1\ and\ \angle8\ congruent\ or\ \sup plementary?  



(a)  

5.

What type of angle pair are

4 and 8?\angle4\ and\ \angle8?  



(a)  

6.

 

Are 4 and 8 congruent or supplementary?Are\ \angle4\ and\ \angle8\ congruent\ or\ \sup plementary?  



(a)  

7.

Find the m2Find\ the\ m\angle2  

(a)  

8.

Find the m4Find\ the\ m\angle4  



(a)  

9.

Find the m6Find\ the\ m\angle6  



(a)  

10.

Find the m7Find\ the\ m\angle7  



(a)  

11.

Find the m3Find\ the\ m\angle3  

(a)  

12.

Find the m1Find\ the\ m\angle1  



(a)  

13.

Find the m7Find\ the\ m\angle7  



(a)  

14.
a)

0

b)
DNE
c)
3
d)
1
15.
a)
-1
b)
-4
c)
8
d)
5
16.
a)
DNE
b)
-10
c)
-3
d)
-4
17.
a)

DNE

b)
-2
c)
3
d)
0
18.
a)
13
b)
7
c)
6
d)
-3
19.

What technique would you use to find this limit?

a)

Direct Substitution only

b)

Factor & Cancel

c)

Conjugate Multiplication

d)

Rewrite with a Trig Identity

20.
a)
0
b)
3
c)
4
d)
DNE
21.
a)
Does not exist
b)
2
c)
0
d)
1
22.
a)

DNE

b)

1

c)

2.9

d)

3

23.

 Find  limx2+ f(x)\lim_{x\rightarrow2^+\ }f\left(x\right)  

a)

-1

b)

5

c)

0

d)

DNE

24.
a)

1

b)

10

c)

7

d)

DNE

25.
What is the derivative of a constant, C?
a)
C
b)
1
c)
0
26.
What is the derivative of cot(x)?
a)
sec2(x)
b)
-sec2(x)
c)
csc2(x)
d)
-csc2(x)
27.
What is the derivative of csc(x)?
a)
csc(x)cot(x)
b)
-csc(x)cot(x)
c)
-csc2(x) 
d)
-cot2(x)
28.
What is the derivative of sin(x)?
a)
-sin(x)
b)
-cos(x)
c)
cos(x)
d)
sin(x)
29.
What is the derivative of cos(x)?
a)
sin(x)
b)
-sin(x)
c)
cos(x)
d)
-cos(x)
30.
What is the derivative of tan(x)?
a)
-sec2(x)
b)
-csc2(x)
c)
sec2(x)
d)
csc2(x)
31.
What is the derivative of sec(x)?
a)
sec(x)tan(x)
b)
csc(x)cot(x)
c)
-sec(x)tan(x)
d)
-csc(x)cot(x)
32.
When we "take the derivative" of a function what are we finding?
a)
What's a derivative?
b)
The rate at which our struggles in Calculus are increasing.
c)
The slope of the secant line
d)
The slope of the tangent line
33.

What is the derivative of cot(x)?

a)

sec2(x)

b)

-sec2(x)

c)

csc2(x)

d)

-csc2(x)

34.

What is the derivative of sec(x)?

a)

sec(x)tan(x)

b)

csc(x)cot(x)

c)

-sec(x)tan(x)

d)

-csc(x)cot(x)

35.

What is the derivative of sin(x)?

a)

-sin(x)

b)

-cos(x)

c)

cos(x)

d)

sin(x)

36.

What is the derivative of cos(x)?

a)

sin(x)

b)

-sin(x)

c)

cos(x)

d)

-cos(x)

37.
What is the derivative of a constant, C?
a)
C
b)
1
c)
0
38.
What is the derivative of cot(x)?
a)
sec2(x)
b)
-sec2(x)
c)
csc2(x)
d)
-csc2(x)
39.
What is the derivative of csc(x)?
a)
csc(x)cot(x)
b)
-csc(x)cot(x)
c)
-csc2(x) 
d)
-cot2(x)
40.
What is the derivative of sin(x)?
a)
-sin(x)
b)
-cos(x)
c)
cos(x)
d)
sin(x)
41.
What is the derivative of cos(x)?
a)
sin(x)
b)
-sin(x)
c)
cos(x)
d)
-cos(x)
42.
What is the derivative of tan(x)?
a)
-sec2(x)
b)
-csc2(x)
c)
sec2(x)
d)
csc2(x)
43.
What is the derivative of sec(x)?
a)
sec(x)tan(x)
b)
csc(x)cot(x)
c)
-sec(x)tan(x)
d)
-csc(x)cot(x)
44.
When we "take the derivative" of a function what are we finding?
a)
What's a derivative?
b)
The rate at which our struggles in Calculus are increasing.
c)
The slope of the secant line
d)
The slope of the tangent line
45.

What is the derivative of cot(x)?

a)

sec2(x)

b)

-sec2(x)

c)

csc2(x)

d)

-csc2(x)

46.

What is the derivative of sec(x)?

a)

sec(x)tan(x)

b)

csc(x)cot(x)

c)

-sec(x)tan(x)

d)

-csc(x)cot(x)

47.

What is the derivative of sin(x)?

a)

-sin(x)

b)

-cos(x)

c)

cos(x)

d)

sin(x)

48.

What is the derivative of cos(x)?

a)

sin(x)

b)

-sin(x)

c)

cos(x)

d)

-cos(x)

49.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

50.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

51.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

52.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

53.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

54.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

55.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

56.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

57.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

58.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

59.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

60.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

61.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

62.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

63.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

64.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

65.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

66.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

67.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

68.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

69.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

70.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

71.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

72.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

73.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

74.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

75.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

76.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

77.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

78.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

79.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

80.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

81.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

82.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

83.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

84.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

85.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

86.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

87.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

88.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

89.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

90.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

91.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

92.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

93.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

94.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

95.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

96.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

97.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

98.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

99.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

100.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

101.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

102.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

103.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

104.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

105.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

106.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

107.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

108.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

109.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

110.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

111.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

112.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

113.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

114.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

115.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

116.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

117.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

118.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

119.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

120.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

121.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

122.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

123.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

124.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

125.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

126.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

127.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

128.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

129.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

130.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

131.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

132.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

133.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

134.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

135.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

136.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

137.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

138.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

139.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

140.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

141.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

142.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

143.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

144.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

145.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

146.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

147.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

148.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

149.

What is the total area of the pink model?

a)

3 units squared

b)

4 units squared

c)

7 units squared

d)

12 units squared

150.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

18 cm

d)

16 sq cm

151.

The area of a rectangle is 25 square feet. What could the length and the width of that rectangle be?

a)

6 ft and 4 ft

b)

5 ft and 5 ft

c)

10 ft and 15 ft

152.
Maura drew a square. Each side measures 6 cm. What is the area of the square?
a)
24 sq cm
b)
36 sq cm
c)
42 sq cm
d)
48 sq cm
153.



(a)  

154.

Which equation finds the area of this shape?

a)

(6x4) + (4x8)

b)

(4x6) + (4x4)

155.

Which equation finds the area of this shape?

a)

(6x4) + (14x8)

b)

(4x6) + (8x8)

156.

Which equation finds the area of this shape?

a)

(6x4) + (6x8)

b)

(14x6) + (6x4)

157.

Which answer shows the distributive property of the array (4X7)?

a)

( 4 x 3) + (4 x 3)

b)

( 3 x 4) + ( 4 x 3)

c)

( 4 x 2 ) + ( 4 x 5)

158.

Which answer shows the distributive property of the array (3X8))?

a)

( 4 x 5) + ( 2 x 6)

b)

(3 x 4) + (3 x 4)

c)

(4 x 5) x ( 5 x 4)

d)

(3 x 2) + ( 3 x 7)

159.

Which expression would show the area of this rectangle?

a)

(2 x 4) + (2 x 2)

b)

(6 x 2) + (2 x 2)

c)

(6 x 6) + (2 x 2)

d)

(4 x 4) + (2 x 2)

160.

Which expression would show the area of this rectangle?

a)

(4 x 5) + (3 x 4)

b)

(4 x 2) + (4 x 3)

c)

(4 x 2) + (4 x 2)

d)

(6 x 5) + (4 x 4)

161.

Which expression would show the area of this rectangle?

a)

(6 x 3) + (6 x 3)

b)

(3 x 2) + (3 x 4)

c)

(3 x 3) + (3 x 4)

d)

(4 x 4) + (4 x 4)

162.

Which expression could be used to find the area of this rectangle?

a)

(6 x 7) + (7 x 7)

b)

(6 x 13) + (6 x 6)

c)

(6 x 6) + (6 x 6)

d)

(6 x 6) + (6 x 7)

163.

Which expression could be used to find the area of this rectangle?

a)

(4 x 5) + (4 x 3)

b)

(4 x 5) + (4 x 5)

c)

(5 x 3) + (4 x 4)

d)

(6 x 6) + (7 x 6)

164.

Which expression is used to find the total area of the figure shown?

a)

(9 x 10) + (9 x 7)

b)

9 x 10 + 7

c)

(10 x 7) x 9

165.

Find the volume of the solid.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

166.

What does the "B" in the volume formula V = B*h stand for?

a)

Bottom of the object

b)

Base

c)

Box

d)

Area of the base

167.

Find the volume of the solid. Use the pi button on your calculator.

a)

16.8 cm3

b)

50.3 cm3

c)

100.5 cm3

d)

12.6 cm2

168.

Choir is selling Pringles to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.


Which equation can be used to find the VOLUME of the container?

a)

V = π(9)

b)

V = π(4.5)2(32)

c)

V = π(9)2(32)

d)

V = π(4.5)(32)

169.

Find the volume of the cone. Use the pi button on your calculator.

a)

468 m3

b)

2205.4 m3

c)

6616.2 m3

d)

1470.3 m3

170.

Find the volume of the solid.

a)

1815 cm3

b)

907.5 cm3

c)

605 cm3

d)

55 cm3

171.

If the diameter of a circle is 50 yards, the radius is _____

a)

100 yards

b)

25 yards

c)

150 yards

d)

15 yards

172.

For what solid is this volume formula used?

a)

Pyramids

b)

Spheres

c)

Prisms

d)

Cylinders

173.

Find the volume of the solid. Round to the nearest whole number.

a)

317 units³

b)

952 units³

c)

1,904 units³

d)

890 units³

174.

Find the volume of the solid.

a)

900

b)

100

c)

300

d)

348

175.

What is the volume of the lady's cone? Use the pi button on your calculator.

a)

28.3 cm2

b)

94.2 cm3

c)

282.7 cm3

d)

113.1 cm3

176.

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use the pi button on your calculator.

a)

345.3 in³

b)

33.5 in³

c)

25.1 in³

d)

50.2 in³

177.

If a tennis ball has a diameter of 14, what is the volume of the tennis ball? Use the pi button on your calculator.

a)

345.8

b)

523.6

c)

1436.8

d)

205.1

178.

For what solid is this volume formula used?

a)

Spheres

b)

Cylinders

c)

Cones

d)

Circles

179.

For what solid is this volume formula used?

a)

Spheres

b)

Cylinders

c)

Cones

d)

Circles

180.

Find the surface area of the sphere. Use the pi button on your calculator.

a)

201.1 in2

b)

268.1 in2

c)

50.3 in2

d)

67.0 in2

181.

If a tennis ball has a diameter of 14, what is the surface area of the tennis ball? Use the pi button on your calculator.

a)

345.8

b)

2463.0

c)

1436.8

d)

615.8

182.

How would you find the volume of the given shape?

a)

It's not possible

b)

V=πr2hV=\pi\cdot r^2\cdot h

c)

V=AhV=A\cdot h