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WorksheetsMath 3 final review
Total questions: 75
Worksheet time: 3hrs 19mins
Name
Class
Date
1.
find the centroid by finding the average of the x's and average of the y's
a)
(-2, -2)
b)
(-2, -3)
c)
(-4, -3)
d)
(-1, -1.5)
2.
Name the point of concurrency
a)
incenter
b)
circumcenter
c)
centroid
d)
orthocenter
3.
Name the point of concurrency
a)
centroid
b)
orthocenter
c)
incenter
d)
circumcenter
4.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
5.
Find length of FG
a)
24
b)
12
c)
18
d)
16
6.
If XZ = 9, what is the length of ZR?
a)
18
b)
9
c)
27
d)
12
7.
The incenter of a triangle is equidistant from the _________ of the triangle.
a)
midsegment
b)
center
c)
verticies
d)
sides
8.
Find the length of PO.
a)
a.
b)
b.
c)
c.
d)
d.
9.
Find the length of TU
a)
15
b)
12
c)
26
d)
13
10.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
11.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
12.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
13.
The opposite angles of a parallelogram are
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
14.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
15.
Find the volume of the cone. Round your answers to the nearest tenth. Us V= ⅓πr²h
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
16.
Find the volume of the cylinder. Round your answers to the nearest tenth. Use V=πr²h
a)
1172
b)
1166
c)
1131
d)
1190
17.
Find the volume of a cone with a circumference of 33 cm and a height of 16. Use C = πd and V= ⅓πr²h
a)
461.8 cm3
b)
451.8 cm3
c)
441.8 cm3
d)
431.8 cm3
18.
Find the volume of a cylinder with a circumference of 50 in and a height of 10 in. Use C = πd and V=πr²h
a)
1989.4 in3
b)
1789.4 in3
c)
1969.4 in3
d)
1899.4 in3
19.
is the inverse function found correctly?
a)
yes
b)
no
20.
Was the inverse function found correctly?
a)
no,
b)
yes
21.
Which is the inverse for the function? f(x)=22x-3
a)
f -1(x) = 2log2(x) −6
b)
f -1(x) = 2log2(x) +6
c)
f -1(x) = ½log2(x) + 3/2
d)
f -1(x) = ½ln(x) + 3/2
22.
Find the inverse of the function
f(x) = ex-4
f(x) = ex-4
a)
f -1(x) = ln(x) + 4
b)
f -1(x) = ln(e) − 4
c)
f -1(x) = ln(x) − 4
d)
f -1(x) = log(x) + 4
23.
find the inverse of the function
f(x) = 103x
f(x) = 103x
a)
f -1(x) = log(3x)
b)
f -1(x) = 3log(x)
c)
f -1(x) = ⅓ log(x)
d)
f -1(x) = ⅓ ln(x)
24.
a)
a.
b)
b.
c)
c.
d)
d.
25.
a)
A
b)
B
c)
C
d)
D
26.
What transformations occur to the function
y = 0.5ex-3 ?
y = 0.5ex-3 ?
a)
left 3,
vertical stretch
vertical stretch
b)
right 3,
vertical stretch
vertical stretch
c)
down 3,
vertical compression
vertical compression
d)
right 3,
vertical compression
vertical compression
27.
Solve:
8x+1 = 3
8x+1 = 3
a)
0.528
b)
0.893
c)
-0.472
d)
1.893
28.
What kind of shift happens with this function?
a)
4 points up
b)
4 points to the left
c)
4 points to the right
d)
4 points down
29.
What kind of shift is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
30.
What transformations occur in the following function?
a)
right 3, up 2
b)
left 3, up 2
c)
left 3, down 2
d)
right 3, down 2
31.
Compounded Continuously an investment of $400 at a rate of 35% for 2 years. find the end amount
a)
$280
b)
$680
c)
$1,034.47
d)
$805.50
32.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
33.
solve:
7x = 36
7x = 36
a)
1.8416
b)
3.5835
c)
1.5563
d)
3.0903
34.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
35.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
36.
Principal: $999
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
State the future account balance.
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
State the future account balance.
a)
$2794.10
b)
$2738.11
c)
$2774.98
d)
$2807.11
37.
Matthew borrowed $100,000 which accrued 11% interest compounded continuously. About how long before he has $105,654?
a)
about half a year
b)
about a year
c)
about 2 years
d)
about 1.5 years
38.
If the population of Bigtown is currently 20,000 and has been growing an average of 3% annually, what the best estimate of population 5 years ago?
a)
17,250
b)
18,520
c)
17,000
d)
18,052
39.
If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?
a)
g(-2) = -1
b)
g(2) = 1
c)
g(-2) = 1
d)
g(1) = 2
40.
what is f-1(2)?
a)
8
b)
-8
c)
1
d)
2
41.
solve
3|−2n| + 30 = 150
3|−2n| + 30 = 150
a)
n = 30
n = -30
n = -30
b)
n = 20
n = -20
n = -20
c)
n = -5
n = 5
n = 5
d)
No Solution
42.
Solve
4|x – 12| − 12 = 44
4|x – 12| − 12 = 44
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
43.
Solve:
2|x + 3|+8 > 24
2|x + 3|+8 > 24
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
44.
Solve:
3|x - 7| +15> 24
(hint: greater than is or, less than is and)
3|x - 7| +15> 24
(hint: greater than is or, less than is and)
a)
x > 4 OR x < 10
b)
4 < x < 10
c)
x > 10 AND x < 4
d)
x > 10 OR x < 4
45.
Solve:
3|x - 7| +15< 24
(hint: greater than is or, less than is and)
3|x - 7| +15< 24
(hint: greater than is or, less than is and)
a)
x > 4 OR x < 10
b)
4 < x < 10
c)
x > 10 AND x < 4
d)
x > 10 OR x < 4
46.
|b - 8| + 10 < 22
(hint: greater than is or, less than is and)
(hint: greater than is or, less than is and)
a)
-4 < b < 20
b)
b < -4 or b > 20
c)
20 < b < -4
d)
b = -4 or b = 20
47.
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
48.
What is the equation for this circle?
a)
(x+1)2+(y+1)2 = 9
b)
x² + y² = 9
c)
x + y = 9
d)
x² + y² = 3
49.
What is the equation of this circle?
a)
(x - 1)²+(y - 2)² = 16
b)
(x + 1)²+(y + 2)² = 4
c)
x²+y²=16
d)
(x + 1)²+(y + 2)² =16
50.
What is the radius?
(x-3)2+(y+4)2=121
(x-3)2+(y+4)2=121
a)
242
b)
11
c)
121
d)
22
51.
In the equation (x+2)2+(y+3)2=49, what is the coordinates of the center point
a)
(2, 3)
b)
(3, 2)
c)
(-3, -2)
d)
(-2, -3)
52.
Find the center and radius for a circle with equation x2+y2+2x-4y-11=0
(hint: get the x's and y's together and complete the square twice)
(hint: get the x's and y's together and complete the square twice)
a)
(-1,2), 4
b)
(2,-1), 4
c)
(-1,2), 16
d)
(1,-2), 4
53.
Find the center and radius for the circle x2+y2+10x-6y+30=0
(hint: get the x's and y's together and complete the square twice)
(hint: get the x's and y's together and complete the square twice)
a)
(-5,-3), 2
b)
(-5,3), 2
c)
(-5,3), 4
d)
(5,-3), 2
54.
Find the center and radius of the circle: x2+y2+14x-2=-1
(hint: get the x's and y's together and complete the square twice)
(hint: get the x's and y's together and complete the square twice)
a)
center= -7,2 radius= 3
b)
center= -7,1 radius= 7
c)
center= -4,1 radius= 5
55.
Find a and b.
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
a)
a=74 degrees
b=93 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
b=87 degrees
56.
What is the m∠U?
(hint inscribed angles are half their arc, central angles are equal to their arc)
(hint inscribed angles are half their arc, central angles are equal to their arc)
a)
38
b)
19
c)
76
d)
90
57.
Find measure of angle R.
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
a)
24
b)
41
c)
67
d)
139
58.
What is the value of x and y?
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
(hint: opposite angles in a quadrilateral inscribed in a circle are supplementary)
a)
x=75°; y=93°
b)
x=65°;y=104°
c)
x=75°; y=94°
d)
x=65°; y=93
59.
What is angle x?
(hint inscribed angles are half their arc, central angles are equal to their arc)
(hint inscribed angles are half their arc, central angles are equal to their arc)
a)
50
b)
100
c)
75
d)
50π
60.
What can you conlude?
a)
AB and AC are not congruent.
b)
AB= half of AC
c)
AC = half of AB
d)
AB=AC
61.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
62.
Find angle x. (hint: tangent lines make a right angle with the radius of the circle)
a)
75 degrees
b)
85 degrees
c)
80 degrees
d)
78 degrees
63.
Solve for x.
a)
10
b)
5
c)
18
d)
9
64.
Find the length of minor arc AB to the nearest integer.
(hint: S = θ/360*πd)
(hint: S = θ/360*πd)
a)
5
b)
9
c)
8
d)
6
65.
Find the area of the shaded sector of circle O. (hint: A = θ/360*π r² )
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
66.
In the diagram, three tangents circumscribe a circle. Find the perimeter of the triangle.
a)
48.8
b)
47.4
c)
39.8
d)
36.4
67.
Solve for a.
(hint: the product of the pieces of two intersecting chords are equal)
(hint: the product of the pieces of two intersecting chords are equal)
a)
6
b)
6.67
c)
8.33
d)
10
68.
Solve for d.
(hint: the product of the pieces of two intersecting chords are equal)
(hint: the product of the pieces of two intersecting chords are equal)
a)
8
b)
9
c)
10
d)
12
69.
AB is 4 cm. What is the length of arc BB'?
(hint: S = θ/360*πd)
(hint: S = θ/360*πd)
a)
30π cm
b)
1/3π cm
c)
10π cm
d)
8/3π cm
70.
When do we use the formula
S = r ⋅ θ
S = r ⋅ θ
a)
to find the arc length when the angle is given in radians
b)
to find the arc length when the angle is given in degrees
c)
to find the area of a sector when the angle is given in radians
d)
to find the area of a sector when the angle is given in degrees
71.
What is this formula used to find?
a)
area of sector when the angle is in radians
b)
area of the circle when the angle is in degrees
c)
arc length of a sector when the angle is in radians
d)
arc length of a sector when the angle is in degrees
72.
Find the arc length, round to the nearest tenth
(hint: s = θ r )
(hint: s = θ r )
a)
17.8 yds
b)
35.6 yds
c)
71.2 yds
d)
53.7 yds
73.
Find the arc length, round to the nearest tenth
(hint: s = θ r )
(hint: s = θ r )
a)
15.7 mm
b)
23.6 mm
c)
47.1 mm
d)
212.1 mm
74.
Find the area of the sector
round the nearest tenth
(hint: A = ½ θ r²)
round the nearest tenth
(hint: A = ½ θ r²)
a)
402.3 cm2
b)
20.5 cm2
c)
41.1 cm2
d)
202.3 cm2
75.
Find the area of the sector
(hint: A = ½ θ r²)
(hint: A = ½ θ r²)
a)
41.9 sq m
b)
4.2 sq m
c)
83.8 sq m
d)
8.4 sq m
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