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WorksheetsCompacted Semester Exam Review
Total questions: 35
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
All of the following are characteristics of a rational number EXCEPT...
a)
the decimal repeats
b)
It forms a fraction or ratio
c)
the decimal ends
d)
the decimal goes on and on and never ends
2.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
3.
The square root of 53 is between which two consecutive numbers?
a)
10 and 11
b)
5 and 6
c)
7 and 8
d)
1 and 2
4.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
5.
Which of the following best defines irrational numbers?
a)
numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern
b)
numbers that make sense
c)
numbers that go on forever and ever with out a repeating pattern and cannot be written as a fraction
d)
fractions
6.
33 + (-38)
a)
-5
b)
5
c)
71
d)
-71
7.
232- (-84)
a)
316
b)
148
c)
-148
d)
315
8.
-32-(-8)
a)
24
b)
-24
c)
-40
d)
40
9.
-10(4)
a)
40
b)
-14
c)
-40
d)
14
10.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
11.
A scuba diver is positioned at -30 feet. How many feet will she have to rise to change her position to -12 feet?
a)
-42 ft
b)
-18 ft
c)
18 ft
d)
42 ft
12.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
13.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
14.
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
15.
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
16.
Write the answer in scientific notation.
5 x 108 - 3.4 x 108 =
5 x 108 - 3.4 x 108 =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
17.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
18.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
19.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
20.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
21.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
22.
Which of the following could be a solution to the inequality?
-4 + a > 12
-4 + a > 12
a)
a = 14
b)
a = 15
c)
a = 16
d)
a = 17
23.
Which inequality is represented by this graph?
a)
c < -9
b)
c > -9
c)
c ≤ -9
d)
c ≥ -9
24.
Solve the Inequality. Show all the steps.
3n + 3 ≤ -12
3n + 3 ≤ -12
a)
n ≤ -3
b)
n ≥ -3
c)
n ≤ -5
d)
n ≥ -5
25.
Your class needs to raise $1000 for a field trip.
You have already raised $250. You all decide to sell coupon books.
You earn $12.50 for each book sold.
Choose the inequality that represents the number of books you should sell to meet or exceed your goal.
You have already raised $250. You all decide to sell coupon books.
You earn $12.50 for each book sold.
Choose the inequality that represents the number of books you should sell to meet or exceed your goal.
a)
b(250 + 12.50) ≥ 1000
b)
250 + 12.50b ≥ 1000
c)
250 + 12.50 + b ≥ 1000
d)
b ≥ 1000 - 250 - 12.50
26.
-4x+7=15
a)
x=2
b)
x=45
c)
x=-2
d)
x=-4
27.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
28.
3x-10+8x=100
a)
-11
b)
100/21
c)
10
d)
-22
29.
6(5g+ 2)=30g
a)
g=2
b)
g=12
c)
all real numbers
d)
no solution
30.
1 + 9a - 8 = 8a
a)
a = 7
b)
all real numbers
c)
no solution
d)
a = =9
31.
5(2x -1) = -5+ 10x
a)
x = 5
b)
x = 0
c)
all real numbers
d)
no solution
32.
Find the difference:
(2x + 7) - 3(5x - 4)
(2x + 7) - 3(5x - 4)
a)
-13x - 5
b)
17x + 5
c)
17x + 5
d)
-13x + 19
33.
Find the sum:
2(x + 3) + 3(3x - 2)
2(x + 3) + 3(3x - 2)
a)
11x
b)
11x - 12
c)
11x + 12
d)
0
34.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
35.
How many solutions does this equation have?
3x - 3 = -3 + 3x
3x - 3 = -3 + 3x
a)
One Solution
b)
No Solutions
c)
Infinitely Many Solutions
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