WorksheetsCRM Final Exam Review #2
Total questions: 71
Worksheet time: 4hrs 33mins
Name
Class
Date
1.
Adam was painting a wall in his room. The wall was 4 feet wide and 4 feet tall. What is the area of the wall he has to paint?
a)
16ft
b)
8ft
c)
12ft
d)
4ft
2.
A lawn had an area of 35 square feet. If it was 7 feet width, how long was it?
a)
84 ft.
b)
245 ft.
c)
5 ft.
d)
14 ft.
3.
A piece of plywood was cut so its length was 6 feet by 5 feet. What is the perimeter of the wood?
a)
30 feet
b)
22 feet
c)
11 feet
d)
30 feet
4.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
5.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
6.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
7.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
8.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
9.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?
bowl is 14 cm. What is the circumference of the
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
10.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
11.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference? Use C=2πr
Pi = 3.14
radius of a cookie is 5 inches. What is the cookie’s
circumference? Use C=2πr
Pi = 3.14
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in
12.
What is the formula for Circumference?
a)
C = π×r²
b)
C = 2×π×r
13.
what is the circumference of this circle ?
a)
3.14 cm
b)
37.68 cm
c)
24 cm
d)
68.4 cm
14.
V = ?
a)
1,077.02 yd3
b)
269.392 yd3
c)
153.86 yd3
15.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
16.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
17.
What is the formula for the volume of a prism?
a)
V = P*h
b)
V = B*h
c)
V = (1/3)P*h
d)
V = (1/3)B*h
18.
What is the formula for volume of a CONE?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
19.
What is the formula for the volume of a pyramid?
a)
V = P*h
b)
V = B*h
c)
V = (1/3)P*h
d)
V = (1/3)B*h
20.
What is the volume formula for a sphere?
a)
V = (4 ∕ 3)πr3
b)
V = (1 ∕ 3)πr2h
c)
V = πr2h
d)
V = (1 ∕ 3)Bh
21.
What is the formula for volume of a CYLINDER?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
22.
Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
23.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
24.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
25.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
26.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
27.
Is this exponential growth or decay?
a)
Growth
b)
Decay
28.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
29.
Identify the initial value:
y = 6.87 (4)x
a)
a = 4
b)
a = 6.87
c)
a = 3
d)
a = 1
30.
In an exponential function, what does the 'a' represent?
a)
Input
b)
Rate of change
c)
Y-intercept/Initial value
d)
Output
31.
In an exponential function, what does the 'b' represent?
a)
Input
b)
Rate of change
c)
Y-intercept
d)
Output
32.
Which table represents the following equation?
a)
b)
c)
d)
33.
Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?
a)
f(x)=2x+1600
b)
f(x)=1600×2
c)
f(x)=1600⋅2x
34.
Suppose the population of a species of insects doubles every year. The function f(x)=1600(2)x gives the number of insects after x years.
How many insects will there be after 3 years?
a)
9600
b)
12,800
c)
200
d)
8000
35.
What is the End behavior on the right side
a)
x→∞, y→∞
b)
x→⁻∞, y→∞
c)
x→⁻∞, y→0
d)
x→∞, y→⁻∞
36.
What is the End behavior on the left side
a)
x→∞, y→∞
b)
x→⁻∞, y→∞
c)
x→⁻∞, y→0
d)
x→∞, y→⁻∞
37.
What is the end behavior of the function
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
x →∞,y→2 and x→⁻∞, y→∞
38.
Which one means up
a)
y →-∞
b)
y →∞
39.
Which one means left
a)
x →-∞
b)
x →∞
40.
What does y tell us
a)
Left and right
b)
Up and down
41.
What does x tell us
a)
Left and right
b)
Up and down
42.
What is the asymptote of y = 2x - 3
a)
y = 0
b)
y = -3
c)
x = 0
d)
x = -3
43.
Which of the following is an exponential decay model?
a)
y = 3 * (1/2)x
b)
y = 1/2 * (3)x
c)
y = -2 * (2)x
d)
y = -3 * (3/2)x
44.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
45.
Factor:
5x3 - 7x2
a)
x2(5x - 7)
b)
x(5x2 - 7x)
c)
x3(5 - 7x)
d)
Prime
46.
Factor: 25x2 - 9
a)
(5x + 3)(5x - 3)
b)
(x + 5)(x - 3)
c)
(x - 3)(x + 5)
d)
(5x + 3)(3x + 5)
47.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
48.
Factor:
3x2-17x+10
3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
49.
3x2+9x-30=0
a)
x= 2, -5
b)
x= 5, -2
c)
x= -5, -2
50.
6x2-x-2=0
a)
x= -2/3, 1/2
b)
x= 2/3, -1/2
c)
x= -2/3, -1/2
51.
Solve by factoring:3x2 + 5x + 2 = 0
a)
x = -2/3 and x = -1
b)
x = -3/2 and x = -1
c)
x = 2/3 and x = 1
d)
x = 2/3 and x = -1
52.
Solve by factoring: 2x2+ 7x + 6 = 0
a)
x= 3/2 and x = 2
b)
x = -3/2 and x = -2
c)
x = 6 and x = 7
d)
x = -6 and x = -7
53.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
54.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
55.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
56.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
57.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
58.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
59.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
60.
Does the equation open up or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
c)
Neither; it opens to the right.
d)
Neither; it opens to the left.
61.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
62.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
63.
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
64.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
65.
Which equation best represents the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
66.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
67.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
68.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Y-intercepts
d)
Axis of Symmetry
69.
What is the equation for the axis of symmetry of
f(x)= (x +1)2 + 5
f(x)= (x +1)2 + 5
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
70.
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
71.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
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