Study Guide for Algebra Test 2
Test 2 is on October 20 (Friday) in class. This test will
cover section 3.3, chapter 5 and
chapter 6 of the book. The following are suggested problems. In addition, you
should review
the homework assignments and your notes from class.
Material covered and problems suggested.
§3.3: Ordering and exponents. Know the properties of exponents.
Problems: Set A, page 141: 3, 7, 11.
§5.1: Divisors, factors, multiples. Tests for divisibility by 2, 3, 4, 5,
6, 8, 9, 10, 11. Prime
and composite numbers , know how to find the prime factorization of a whole
number. Fundamental
Theorem of Arithmetic . Prime factor test (how do you determine whether a given
number is prime ?).
Problems: Review the hw problems from this section.
§5.2: Know how to find GCF(a, b): Using the definition, using the prime
factorization
method, using the Euclidean algorithm. Know how to find LCM (a, b): using the
definition,
using the prime factorization method , using that LCM(a, b) · GCF (a, b) = a · b.
Problems: Review the hw problems from this section.
§6.1: Fractions, models for introducing fractions, equivalent fractions
(when are two fractions
equal?), order of fractions ( if and only if
a·d < c·b), density property of fractions
(know how to find a fraction between any two given fractions, how many fractions
are there
between two given fractions?).
Problems: Review the hw problems from this section.
§6.2: Addition of fractions and its properties (closure property,
commutative property,
associative property , additive identity property). Subtraction of fractions .
Mental math and
estimation for addition and subtraction.
Problems: Review the hw problems from this section.
§6.3: Multiplication of fractions and its properties (closure property,
commutative property,
associative property, multiplicative identity property, distributive property
over addition
and subtraction of fractions, multiplicative inverse ( or reciprocal ) of a
fraction). Division of
fractions .
Problems: Set A, p. 269: 2, 4, 8g, 10, 15, 16, 20, 22.
Do the following computations, leaving your answer as a fraction in simplest
form . Justify
each step by citing the property (or definition) used.
Simplify the following complex fractions :
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