Download 8th Grade Mathematics Study Guide

8th Grade Mathematics Study Guide
Chapter 7—Rational Numbers
TEST DATE: Tuesday, March 8, 2011
(100 points total)
Please review the following concepts for your test on Tuesday. Complete the sample problems
listed below to review. You should also review your classroom notes, daily assignments, and
textbook to prepare for the Chapter 7 Test. If you do not understand a concept, please see me
before the test.
 To write the prime factorization of a given number (2 problems) .
Examples:
Write the prime factorization of each number.
1.
60
2.
175
 To find the Greatest Common Factor (GCF) of a set of numbers using prime
factorization (2 problems).
Example:
Find the GCF of the set of numbers below using prime factorization.
3.
15 and 65
 To identify numbers as rational or irrational (3 problems).
Examples:
Identify each number below as rational or irrational.
4.
0.454545. . .
5.
0.191191119. . .
 To write mixed numbers and fractions as decimal numbers (2 problems).
Examples:
Write the following fractions or mixed numbers as a decimal number. Use a bar to indicate repeating
decimals when necessary.
6.
8
3 ----9
7.
5
----6
 To write decimals as fractions or mixed numbers in simplest form (2 problems).
Examples:
Write the following decimals as fractions or mixed numbers in simplest form.
8.
0.156
9.
2.35
 To compare and order rational numbers (2 problems).
Examples:
Compare. Use >, <, or =.
10.
3
- ----4
5
- ----6
11.
1
- 1 ---9
1
- ----7
 To add and subtract rational numbers (4 problems).
Examples:
Find the sum or difference for the following problems.
12.
1
- 5 ---- + (-3/5)
2
13.
5
3 ---6
-
8
7 ----9
 To multiply and divide rational numbers (4 problems).
Examples:
Find the product or quotient for the following problems.
14.
4
- 2 ---- x
5
(-8/11)
15.
- 16
 To simplify expressions with exponents (4 problems).
Examples:
Simplify each expression below.
16.
69
------ =
610
17.
8-2 =
÷
1
1 ---3
 To write numbers in scientific notation (2 problems).
Examples:
Write each number below in scientific notation.
18.
0.0000065
19.
3,005,000,000
 To write numbers in standard form (2 problems).
Examples:
Write each number in standard form.
20.
2.5 x 10-6
21.
8.7 x 104
 To solve rational number equations (one-step and two-step) (4 problems).
Examples:
Solve each equation.
22.
-2/3g = 18
23.
1
-1/2x + 6 = 1 --3