Try the Free Math Solver or Scroll down to Tutorials!

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Math 80 - Test 4 Review

(See Test 1-3 Reviews)
Chapter 7 – Radicals, Radical Functions, and Rational Exponents

7.1 Radical Expressions and Functions
Definition of the Principal Square Root; evaluating square roots; square root functions;
finding the domain of a square root function; simplifying ; definition of the cube
root of a number; evaluating cube roots; cube root functions; simplifying ; definition
of the nth root of a number; evaluating nth roots; simplifying

7.2 Rational Exponents
Definition of rational exponents Properties of Rational Exponents;
simplifying expressions with rational exponents using the properties of exponents; using
rational exponents to simplify radical expressions.

7.3 Multiplying and Simplifying Radical Expressions
The Product Rule for Radicals; simplifying radicals by factoring; simplifying when
n is even and a is nonnegative; multiplying and simplifying radicals.

7.4 Adding, Subtracting, and Dividing Radical Expressions
Adding and subtracting radical expressions – combining like radicals; adding/subtracting
radicals that first require simplification; The Quotient Rule for Radicals; using the
quotient rule to simplify radicals; using the quotient rule to divide radical expressions.

7.5 Multiplying with More Than One Term and Rationalizing Denominators
Multiplying radicals with more than one term – using the distributive property, the FOIL
method, and polynomial special product formulas to multiply radicals; rationalizing
denominators containing one term; rationalizing denominators containing two terms;
rationalizing numerators.

7.6 Radical Equations
Solving radical equations containing nth roots; solving an equation containing two
radicals; applications of radical equations.

7.7 Complex Numbers
The imaginary unit, i; the square root of a negative number; complex numbers and
imaginary numbers; adding, subtracting, multiplying, and dividing complex numbers; the
conjugate of a complex number; simplifying powers of i.

Review Problems
p. 557, Review Problems: 1-101
p. 559, Chapter 7 Test: 1-30