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Worksheetsfinal review part 2
Total questions: 121
Worksheet time: 6hrs 58mins
Name
Class
Date
1.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
2.
Solve
a)
102
b)
12
c)
98
d)
7
3.
Solve.
a)
no solution
b)
6
c)
3
d)
4
4.
a)
x = 2
b)
x = 4
c)
x = 7
d)
x = 9
5.
a)
x = 5
b)
x = -6
c)
x = 14
d)
x = -1
6.
Simplify:
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
7.
Simplify:
√96
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
8.
Simplify.
a)
A
b)
B
c)
C
d)
D
9.
Simplify:
4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
10.
Simplify
a)
A
b)
B
c)
C
d)
D
11.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
12.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
14.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
15.
Write 7.113 x 107 in standard form.
a)
71,130,00
b)
71,130,000
c)
0.0000007113
d)
7,113
16.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
17.
Write 2.08 x 102 in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
18.
Write 7.8 x 10-3 in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
19.
Write 8.73 x 10-4 in standard form.
a)
0.000873
b)
0.0873
c)
87,300
d)
8,730
20.
Write 6,700 in scientific notation.
a)
6.7 x 103
b)
6.7 x10-3
c)
67 x 102
d)
67 x 10-2
21.
The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.
a)
hydrogen, carbon, oxygen, silver, gold
b)
hydrogen, oxygen, gold, siver, carbon
c)
carbon, oxygen, silver, gold, hydrogen
d)
gold, oxygen, carbon, silver, hydrogen
22.
Arrange the numbers from least to greatest:
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
216,000,000 ; 2.2 x 103 ; 3.1 x 107 ; 310,000
a)
2.2 x 103 ; 310,000; 3.1 x 107 ; 216,000,000
b)
310,000 ; 2.2 x 103 ; 3.1 x 107; 216,000,000
c)
3.1 x 107 ; 310,000; 2.2 x 103; 216,000,000
d)
2.2 x 103 ; 3.1 x 107 ; 310,000 ; 216,000,000
23.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
24.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
25.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
26.
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
27.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
28.
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6
29.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
30.
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)
31.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
32.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
33.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
34.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
35.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
36.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
37.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
38.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
39.
Which of the following inequalities matches the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
40.
1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
a)
5q + 2z = 1.32
1z = 0.75
1z = 0.75
b)
5q + 2z = 1.32
3q + 1z = 0.75
3q + 1z = 0.75
c)
q + z = 1.32
q + z = 0.75
q + z = 0.75
d)
5q + 2z = 0.75
3q + 1z = 1.32
3q + 1z = 1.32
41.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
42.
x - 5y = 5
3x + y = 31
3x + y = 31
a)
(10, -1)
b)
(9, 4)
c)
(10, 1)
d)
(55, 10)
43.
y = 3x + 2
y - 3x = 2
y - 3x = 2
a)
no solution
b)
infinite solutions
c)
(0 , 0)
d)
(2 , 2)
44.
Solve the system by substitution.
y = −6x + 3
−18x − 3y = 4
y = −6x + 3
−18x − 3y = 4
a)
(−3, 8)
b)
(−8, −3)
c)
(2, −3)
d)
No Solution
45.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
46.
In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?
a)
10 horses, 18 chickens
b)
16 horses, 12 chickens
c)
12 horses, 16 chickens
d)
18 horses, 10 chickens
47.
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
a)
x - y = -10
x + y = -2
x + y = -2
b)
x = -2
y = 5
y = 5
c)
x + y = -2
x - y = -10
x - y = -10
d)
x + y = -10
x - y = -2
x - y = -2
48.
a)
Function
b)
Not a Function
49.
a)
Function
b)
Not a Function
50.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
51.
Is this relation a function?
a)
True
b)
False
52.
Is this a function or not a function?
a)
Function
b)
Not a Function
53.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
54.
Is this is a function or not a function?
a)
Function
b)
Not a Function
55.
How do you determine if a relation is a function?
a)
The vertical line test crosses more than one point on the graph.
b)
The same y-values are mapped from the same x-values.
c)
The vertical line test crosses only one point on the graph.
d)
Each input is related to more than one output.
56.
a)
Function
b)
Not a Function
57.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
58.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
59.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
60.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
61.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
62.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
63.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
64.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
65.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
66.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
67.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
68.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
69.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
70.
What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)
(2, 4), (5, 5), (8, 6), (11, 7)
a)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
b)
{2, 5, 8, 11}
c)
{4, 5, 6, 7}
d)
{2, 4, 5, 8, 6, 11, 7}
71.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
72.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
73.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))
g(x) = x - 2
Find f(g(0))
a)
16
b)
4
c)
-4
d)
None of these.
74.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
75.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))
g(x) = x - 2
Find f(g(x))
a)
3x2 - 2
b)
3x + 8
c)
3x + 4
d)
None of these.
76.
p(x) = 3x + 4
q(x) = 2x2
Find p(q(x))
q(x) = 2x2
Find p(q(x))
a)
10x2
b)
18x2 + 4
c)
6x2 + 4
77.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))
g(x) = x - 2
Find g(f(x))
a)
3x + 8
b)
3x - 2
c)
3x + 4
d)
None of these.
78.
p(x) = 3x + 4
q(x) = 2x2
Find p(q(0))
q(x) = 2x2
Find p(q(0))
a)
0
b)
32
c)
4
d)
None of these.
79.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
80.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))
g(x) = x - 2
Find g(f(x))
a)
3x + 8
b)
3x - 2
c)
3x + 4
d)
None of these.
81.
Is the sequence -4, -12, -36, -108,... geometric?
a)
yes
b)
no
82.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
83.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
84.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
85.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
86.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
87.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
88.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
89.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
90.
The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
a)
6
b)
7
c)
8
d)
9
91.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
92.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
93.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
median:7 mode:3 range:7
b)
median:6 mode:3 range:7
c)
median:7 mode:3 range:8
94.
You must find the 5 number summary in order to make a box and whisker plot.
a)
True
b)
False
95.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
96.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
97.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
98.
What percent of the data is between 25 and 30 on the number line?
a)
25%
b)
`50%
c)
75%
d)
100%
99.
11. What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
100.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
101.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
102.
What data value is the upper quartile?
a)
64
b)
62
c)
66
d)
58
103.
What is the median?
a)
62
b)
58
c)
66
d)
60
104.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
105.
What is the interquartile range (IQR) of the data set?
a)
20
b)
25
c)
5
d)
10
106.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
107.
Which box and whisker plot has the smallest lower quartile?
a)
Top plot
b)
Bottom plot
108.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
109.
Simplify.
a)
(m+6)/(m-3)
b)
7/(m-3)
c)
7(m+6)
d)
(m-3)
110.
Simplify.
a)
1/(n-7)
b)
n-7
c)
(n-6)/(n-7)
d)
n-6
111.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
112.
a)
A
b)
B
c)
C
d)
D
113.
a)
A
b)
B
c)
C
d)
D
114.
Simplify:
a)
6/(5x),
x≠0
x≠0
b)
(x-4)/(x-2),
x≠-2
x≠-2
c)
(x+3)/(x+2),
x≠-2, 4
x≠-2, 4
d)
(x+3)/(x-4),
x≠-2, 4
x≠-2, 4
115.
Divide and Simplify
a)
1/6
b)
x+10/ 6x+60
c)
x+8/ 6x+60
d)
(x+10)(x+8)/ 6x+60
116.
a)
A
b)
B
c)
C
d)
D
117.
a)
A
b)
B
c)
C
d)
D
118.
a)
A
b)
B
c)
C
d)
D
119.
Simplify the following and state the restrictions.
a)
A
b)
B
c)
C
d)
D
120.
Simplify.
a)
A
b)
B
c)
C
d)
D
121.
Simplify the Rational Expression
x2+ 3x – 10
x - 2
x2+ 3x – 10
x - 2
a)
1/(x - 2)
b)
(x + 5)
c)
(x - 2)
d)
(x + 7)/(x - 2)
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