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GMAS Unit 2 Review

Total questions: 50

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

2.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
3.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

4.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

5.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

6.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

7.

Which of the following has the greatest value?

a)

3.5 x 104

b)

2.1 x 106

c)

7.2 x 107

d)

9.9 x 105

8.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

9.

Which statement is correct?

a)

All integers are rational numbers.

b)

All irrational numbers are whole numbers

c)

A real number must be a rational number.

d)

A repeating decimal is an irrational number.

10.
0.8 is a rational number
a)
True
b)
False
11.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
12.
Simplify the following:
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
13.
What is the value of:
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
14.
Write the following as an exponent:
7x7x7x7x7
a)
75
b)
57
c)
77
d)
55
15.
Simplify the following:
y6/y4
a)
y10
b)
y2
c)
y-2
d)
1/y2
16.
Simplify the following:
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3
17.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
18.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
19.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
20.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
21.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
22.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
23.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
24.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
25.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
26.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
27.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
28.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
29.
Solve    8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
30.
Add. 
(4.5 x 108) + (2.67 x 108)
a)
7.17 x 101
b)
7.17 x 108
c)
1.83 x 108
31.
Multiply:
(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
32.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
33.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
34.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
35.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
36.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
37.
(-3x4)3
a)
-3x343
b)
-33x12
c)
33x12
d)
-3x12
38.

Between which two whole numbers does the √32 fall?

a)

4 and 5

b)

5 and 6

c)

6 and 7

d)

7 and 8

39.

Between what two whole numbers does the √449 fall?

a)

19 and 20

b)

20 and 21

c)

21 and 22

d)

22 and 23

40.
Which point best represents √47?
a)
A
b)
D
c)
E
d)
F
41.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
42.
How many solutions does the equation have
6x + 3 = 6x + 3
a)
One Solution
b)
No Solution
c)
Infinite Solutions
43.
How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x
a)
One Solution
b)
No Solution
c)
Infinite Solutions
44.
How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n
a)
One Solution
b)
No Solution
c)
Infinite Solutions
45.
How many solutions does the equation have
3x + 7 + 2x = 5x + 7
a)
One Solution
b)
No Solution
c)
Infinite Solutions
46.
How many solutions does the equation have
3c -3 = 4c - 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
47.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
48.
What is a square root
a)
A number to the second power
b)
A square that has roots on it
c)
Square roots are numbers that produce a specified quantity when multiplied by itself
49.
∛8
a)
2
b)
-2
c)
±2
d)
None
50.
Find the cube root(s): ∛1
a)
1
b)
-1
c)
±1
d)
none