212.
213.
214.
215.
216.
Evaluating Expressions with Fractional Exponents
217–226 Compute the value of each expression.
217.
218.
219.
220.
221.
222.
223.
224.
225.
226.
Operating on Radicals
227–234 Perform the operations on the radicals.
227.
228.
229.
230.
231.
232.
233.
234.
Operating on Factors with Fractional Exponents
235–242 Perform the operations on the expressions.
235.
236.
237.
238.
239.
240.
241.
242.
Estimating Values of Radicals
243–250 Estimate the value of the radicals to the nearer tenth after simplifying the radicals. Use:
243.
244.
245.
246.
247.
248.
249.
250.
Chapter 6
Creating More User-Friendly Algebraic Expressions
Algebraic expressions involve terms (separated by addition and subtraction) and factors (connected by multiplication and division). Part of the challenge of working with algebraic expressions is in using the correct rules: the order of operations, rules of exponents, distributing, and so on. Function notation helps simplify some expressions by providing a rule and inviting evaluation.
The Problems You’ll Work On
In this chapter, you get to put some of those algebraic rules to practice with the following types of problems:
Finding the sums and differences of like terms
Multiplying and dividing terms and performing the operations logically
Applying the order of operations when simplifying expressions
Evaluating algebraic expressions when variables are assigned specific values
Using the factorial operation
Getting acquainted with function notation
What to Watch Out For
Here are a few more things to keep in mind:
Recognizing like terms and the processes involved when combining them
Reducing fractions correctly — dividing by factors