# Pre-Algebra - Chapter 9 review ```Name __________________________________________ Pd. ______
Pre-Algebra
Chapter 9 Review
Directions: Complete each of the following. Show All work for full credit. CIRCLE your answer.
Write the product using exponents.
𝟏
𝟏
𝟏
𝟏
1.) (− 𝟑) ∙ (− 𝟑) ∙ (− 𝟑) ∙ (− 𝟑)
2.) 𝟐 ∙ 𝝅 ∙ 𝒓 ∙ 𝒓
Evaluate the expression.
3.)−𝟏𝟎𝟑
4.) (−𝟐)𝟓
6.) 𝟐 − 𝟓 ∙ (−𝟏)𝟒
7.) (𝟏 − 𝟓)𝟑
𝟏
𝟖
𝟐 𝟑
5.) (𝟕)
8.) (𝟕𝟒 − 𝟕𝟑 ) &divide; 𝟕
9.) (−𝟒) ∙ (−𝟒)𝟐
𝟑
12.) (𝒓𝟐 )
𝟗𝟓
𝟗
11.)
𝟏.𝟓𝟕 ∙𝟏.𝟓𝟔
𝟏.𝟓𝟏𝟎
14.)
10.) ( 𝟐)
13.)
𝒃𝟖
𝒃𝟒
𝒄𝟒 𝒅𝟐
𝒄𝒅
Simplify the expression.
𝟑
𝟑
15.)(− 𝟒 𝒙)
16.)
𝟓𝟒 ∙𝒘
𝟓𝟑
17.)
𝒄 𝟒 𝒅𝟐
𝒄𝒅
Name __________________________________________ Pd. ______
Pre-Algebra
Evaluate the expression.
18.) 𝟖−𝟐
19.) – 𝟏𝟐𝟎
20.)
𝟐−𝟑 ∙𝟐𝟑
𝟐𝟓
Simplify. Write the expression using only positive exponents.
21.)
𝟓𝒃−𝟐
𝒃−𝟑
22.) −𝟐𝒛−𝟔 ∙ 𝟕𝒛𝟑
23.) 𝒂𝟐 ∙ 𝒃−𝟐 ∙ 𝒃𝟐
Write the number in standard form.
24.) 𝟒 &times; 𝟏𝟎𝟓
25.) 𝟑. 𝟗 &times; 𝟏𝟎−𝟑
26.) 𝟒. 𝟕𝟕𝟓 &times; 𝟏𝟎𝟕
Write the number in scientific notation.
27.) 0.00005
28.) 𝟏, 𝟐𝟎𝟎, 𝟎𝟎𝟎
29.) 0.04056
30.) (𝟗. 𝟏 &times; 𝟏𝟎−𝟑 ) − (𝟔 &times; 𝟏𝟎−𝟑 )
31.) (𝟗. 𝟕 &times; 𝟏𝟎𝟒 ) + (𝟏. 𝟓 &times; 𝟏𝟎𝟓 )
32.) (𝟑. 𝟏 &times; 𝟏𝟎𝟐 ) &times; (𝟐 &times; 𝟏𝟎−𝟑 )
33.) (7.5 &times; 𝟏𝟎−𝟗 ) &divide; (𝟑. 𝟕𝟓 &times; 𝟏𝟎−𝟏𝟐 )
Name __________________________________________ Pd. ______
Pre-Algebra
34.) Your internet connection speed is 𝟒𝟗 bits per second.
a.) How many times faster is an internet connection speed of 410 bits per second.
b.) You can upgrade your internet connection speed of 410 speed to be 16 times faster. What is
35.) The table shows the diameters of four planets.
Planet
Diameter (km)
Jupiter
1.4 &times; 105
Saturn
1.2 &times; 105
Uranus
5.1 &times; 104
Neptune
5.0 &times; 104
a.) Which planet has the greatest diameter? Least diameter?
b.) How much greater is the diameter of Jupiter than the diameter of Saturn? Write your