Algebra 2B Hobart & William Smith Unit 7 Denominator Rationalising Worksheet

The problem solving template is a tool which can be used to help solve difficult problems. For this sample work you will use the abbreviated problem solving template to set up and then solve the following problems. Complete each part of the template. Each box is worth 1pt. Make sure to answer correctly in complete sentences and give details on how you got your answer. Show ALL WORK when asked.

***THE ASSIGNMENT IS IN THE ATTATCHED FILE***

Algebra 2B Unit 7 Sample Work
Review of Big Ideas from Semester B
The problem solving template is a tool which can be used to help solve difficult problems. For this
sample work you will use the abbreviated problem solving template to set up and then solve the following
problems. ​Complete each part of the template. Each box is worth 1pt.
Problem 1 of 5: ​Rationalize the denominator. Simplify your answer.
5+√3
2−√3
Identify & Think: ​Do you understand what is being asked and what you need to do? Do you have a
list of things you know, ideas to try, and a plan for doing it? I​ dentify the problem and list your
strategies.
Do & Answer:​ S​ how your work to solve this problem. Check your work. Does your answer make
sense? S​ how your work and report your answer clearly.
Continue to the next page!
Problem 2 of 5: ​Solve the equation.
3ln(2-x) = 1
Identify & Think: ​Do you understand what is being asked and what you need to do? Do you have a
list of things you know, ideas to try, and a plan for doing it? I​ dentify the problem and list your
strategies.
Do & Answer:​ S​ how your work to solve this problem. Check your work. Does your answer make
sense? S​ how your work and report your answer clearly.
Continue to the next page!
Problem 3 of 5: ​Simplify each rational expression. State any restrictions on the variable.
x−3
x+4
÷
x2 −1
x
Identify & Think: ​Do you understand what is being asked and what you need to do? Do you have a
list of things you know, ideas to try, and a plan for doing it? I​ dentify the problem and list your
strategies.
Do & Answer:​ S​ how your work to solve this problem. Check your work. Does your answer make
sense? S​ how your work and report your answer clearly.
Continue to the next page!
Problem 4 of 5: ​Consider the infinite geometric series below.
a. Write the first 4 terms of the series
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.
∞
∑ (− 2) n−1
n=2
Identify & Think: D
​ o you understand what is being asked and what you need to do? Do you have a
list of things you know, ideas to try, and a plan for doing it? ​Identify the problem and list your
strategies.
Do & Answer:​ ​Show your work to solve this problem. Check your work. Does your answer make
sense? ​Show your work and report your answer clearly.
Continue to the next page!
Problem 5 of 5:
Find the mean, variance, and standard deviation for the following data
set: 49, 32, 35, 43, 45, 40, 53, 55, 42
Identify & Think: D
​ o you understand what is being asked and what you need to do? Do you have a
list of things you know, ideas to try, and a plan for doing it? I​ dentify the problem and list your
strategies.
Do & Answer:​ ​Show your work to solve this problem. Check your work. Does your answer make
sense? ​Show your work and report your answer clearly.
Finished!