WorksheetsStatistics Final Review
Total questions: 64
Worksheet time: 15hrs 49mins
Name
Class
Date
1.
Find the sum for the following series.
a)
44
b)
-162
c)
-682
d)
324
2.
Find the sum
a)
36
b)
85
c)
35
d)
86
3.
Identify the pattern {19,16,13,10,...}
a)
3
b)
-3
c)
19
d)
none of the above
4.
Identify the pattern.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
5.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
6.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
7.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
8.
Given the recursive formula, find the first four terms:
an = an-1 + 5
a1 = -16
an = an-1 + 5
a1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
9.
Given the recursive formula, find the first four terms:
an = -3⋅an-1
a1 = 45
an = -3⋅an-1
a1 = 45
a)
45, -135, 405, -1215
b)
-45, -135, -405, -1215
c)
45, 135, 405, 1215
d)
45, 42, 39, 36
10.
Evaluate the Geometric Series
a)
-1/2
b)
394
c)
473
d)
364
11.
Find the sum, if possible
a)
-4/3
b)
4/15
c)
1
d)
not possible
12.
What type of series is
32 + 16 + 8 + 4 + 2 + 1
32 + 16 + 8 + 4 + 2 + 1
a)
Finite Arithmetic
b)
Finite Geometric
c)
Infinite Arithmetic
d)
Infinite Geometric
13.
Evaluate the infinite series described:
a)
-16
b)
-18
c)
3
d)
-15
14.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
15.
Identify the dimensions.
a)
1 x 3
b)
1 x 2
c)
2 x 1
d)
3 x 1
16.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
17.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
18.
Multiply
a)
1 2
6 -8
6 -8
b)
-3 -5
-5 -11
-5 -11
c)
-2 8
-6 -12
-6 -12
d)
2 -3
5 -2
5 -2
19.
What do w, x, y and z equal in this matrix subtraction?
a)
w = 13, x = 4, y = 7, z = 23
b)
w = 13, x = -4, y = 11, z = 23
c)
w = 13, x = 4, y = 11, z = 23
d)
w = 13, x = 4, y = 11, z = 17
20.
What do m, n, p and q equal in this scalar matrix multiplication?
a)
m=8, n=9, p=-4, q=4
b)
m=15, n = -45, p=20, q=-5
c)
m=20, n=-5, p=15, q=-45
d)
m=-5, n=20, p=-45, q=15
21.
What is the median?
a)
62
b)
58
c)
66
d)
60
22.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
23.
Type of Data arrangement
a)
Symmetrical
b)
Hairline
c)
Skewed Right
d)
Skewed Left
24.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
25.
This data is normally distributed. What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
26.
Adam's Z-score on a test is +2.5. What does this mean?
a)
He'd better start studying.
b)
He did better than EVERYONE.
c)
He scored 2.5 standard deviations above the average.
d)
He did terrible.
27.
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
a)
-1.25
b)
+1.25
c)
+1.20
d)
+1.02
28.
Jill's Z-score on the same test was a +3.0. (average was 82 and SD was 4).
What was her actual score?
What was her actual score?
a)
85 %
b)
79 %
c)
94 %
d)
40 %
29.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
30.
Write an expression.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
a)
g ≤ 90
b)
g ≥ 90
c)
g < 90
d)
g > 90
31.
a)
- 7 < y < 3
b)
- 8 < y < 4
c)
- 7 < y < - 3
d)
- 8 < y < - 4
32.
| x + 3 | > 8
a)
No Solution
b)
All Real Numbers
c)
x < -11 or x > 5
d)
-5 < x < 11
33.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
34.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
35.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
36.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
37.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
38.
Find the equation of the line that has a slope of 3 and passes through (-4, 1).
a)
y = 3x - 11
b)
y = 3x + 13
c)
y = -4x - 13
d)
y = x + 11
39.
Find the equation of the line that is parallel to the line y = 2x - 1 and passes through the points (4, 6)
a)
y = 2x - 2
b)
y = -1/2x + 8
c)
y = 2x + 8
d)
y = -2x + 2
40.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
41.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
42.
Give the correct name for
2x3+5x
2x3+5x
a)
Linear Binomial
b)
Cubic Binomial
c)
Quadratic Trinomial
d)
Linear Trinomial
43.
Give the correct name for
-3x4-3x2+5
-3x4-3x2+5
a)
Constant Trinomial
b)
Quartic Trinomial
c)
quadratic Trinomial
d)
Linear Trinomial
44.
Solve the polynomial: 2x2 -50=0
a)
x=0, 5, -5
b)
x=5, -5
c)
x=0, 25, -25
d)
x= 5/2, -5/2
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
48.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
49.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
50.
How many real solutions does the function have?
a)
0
b)
1
c)
2
d)
3
51.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
52.
Rewrite the equation in exponential form:
log9 1/81 = -2
log9 1/81 = -2
a)
ln -2 = 1/81
b)
-21/81 = 9
c)
9-2 = 1/81
d)
91/81 = -2
53.
Solve: log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
54.
Rewrite in exponential form:
ln(2) = x
ln(2) = x
a)
2x = 10
b)
102 = x
c)
ex = 2
d)
e2 = x
55.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
56.
Find the asymptote of the following: y = log10 x - 6
a)
x=6
b)
x=-6
c)
x= 0
d)
y=0
57.
find the asymptote: y = log10 (x+3)
a)
x=-3
b)
x=3
c)
y=-3
d)
y=3
58.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
59.
Condense logarithm
a)
log8(x6)/log8(y3)
b)
log8(x6/y3)
c)
log8(x/y3)
d)
log8(x6y3)
60.
Expand logarithm
a)
log7x + log7y + 4log7z
b)
4log7x + 4log7y + 4log7z
c)
log7x - log7y - 4log7z
d)
4log7x - 4log7y - 4log7z
61.
Expand
a)
A
b)
B
c)
C
d)
D
62.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
63.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
64.
At the middle school, a student takes 4 core classes a day. There are 6 different core classes offered. How many different combinations of classes are there?
a)
24
b)
15
c)
720
d)
360
100 %
